Questions & Solutions of Aipmt-2010 (Mains) Test Paper: Important Instructions
Questions & Solutions of Aipmt-2010 (Mains) Test Paper: Important Instructions
Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.
IMPORTANT INSTRUCTIONS
1. The Test Booklet consists of one paper containing 120 objective type questions (four options with
single correct answer) from Physics, Chemistry and Biology (Botany & Zoology).
2. There are three parts in the question paper (Physics, Chemistry and Biology (Botany & Zoology)). The
distribution of marks subjectwise in each part is as under for each correct response.
3. Scoring and Negative Marking : Each question carries 4 marks. For each incorrect response
       one mark will be deducted from the total score. No deduction from the total score will, however,
       be made if no response is indicated for a question in the Answer Sheet. The candidates are advised not
to attempt such question in the Answer Sheet, if they are not sure of the correct response. More than
       one answer indicated against a question will be deemed as incorrect response and will be
       negatively marked.
               0i                       0i                         0i                          0i
       (1)                        (2)                         (3)                         (4)
             2 2R                       2R                          4R                            2R
       Ans.          (1)
Sol.   The loop mentioned in the question must look like one as shown in the figure.
                                                                                               1   0i 
       Magnetic field at the centre due to semicircular loop lying in x-y plane, B xy                  negative z direction
                                                                                               2  2R 
                                                         1   0i 
       Similarly field due to loop in x–z plane, Bxz =            in negative y direction.
                                                         2  2R 
      Magnitude of resultant magnetic field,
                                   2            2
                                i    i           0i     0i
       B=      B 2xy  B 2xz   0    0         = 4R 2 
                                4R    4R                 2 2R
2.     Two following figure shows a logic gate circuit with two inputs A and B and the output Y. the voltage wave
       forms of A, B and Y are as given.
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AIPMT (MAINS)-2010
Sol.   It is clear from given logic circuit, that output Y is low when both the inputs are high, otherwise it is high. Thus
       logic circuit is NAND gate.
                   A B Y
                   1      1   0
                   0    0      1
                   0    1      1
                   1    0      1
3.      Two parallel metal plates having charges +Q and –Q face each other at a certain distance between them. If
        the plates are now dipped in kerosene oil tank, the electric field between the plates will
        (1) become zero          (2) increase              (3) decrease              (4) remains same
        Ans.     (3)
Sol. Electric field between two parallel plates placed in vacuum is given by
                        
                   E
                        0
                                                    
        In a medium of dielectric constant K, E' =  K For kerosene oil K > 1  E' = E
                                                    0
                                         3R
4.      The electric field at a distance    from the centre of a charged conducting spherical shell of radius R is E.
                                          2
                                          R
        The electric field at a distance    from the centre of the sphere is
                                          2
                                                             E                        E
        (1) zero              (2) E                    (3)                      (4)
                                                             2                        3
        Ans.     (1)
Sol.    Electric field insided charged conductor is always zero.
5.      A student measures the distance traversed in free fall of abody, initially at rest, in a given time. He uses this
        data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the
        distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is
        (1) e2 – e1               (2) e1 + 2e2                (3) e1 + e2               (4) e1 – 2e2
        Ans.      (2)
Sol.    From the relation
                   1 2
        h = ut +     gt
                   2
             1 2                      2h
        h=     gt       g=         ( body initially at rest)
             2                        t2
        Taking natural logarithm on both sides, we get
        ng = n h – 2n t
                         g h    t
        Differentiating, g  h  2 t
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AIPMT (MAINS)-2010
       For maximum permissible error,
               g          h               t    
       or         100      100   2    100 
                g          h                t     
According to problem
        h
            100 = e1 and t  100 = e2
        h                  t
                    g       
       Therefore,  g  100  = e1 + 2e2
                             
6.     When monochromatic radiation of intensity  falls on a metal surface, the number of photoelectrons and their
       maximum kinetic energy are N and T respectively. If the intensity of radiation is 2, the number of emitted
       electrons and their maximum kinetic energy are respectively
       (1) N and 2T               (2) 2N and T             (3) 2N and 2T           (4) N and T
       Ans.     (2)
Sol.   The number of photoelectrons ejected is directly proportional to the intensity of incident light. Maximum
       kinetic energy is independent of intensity of incident light but depends upon the frequency of light. Hence
       option (2) is correct.
                                                                                
7.     The electric field of an electromagnetic wave in free space is given by E  10 cos(10 7 t  kx ) ĵ V/m, where t
       and x are in seconds and metres respectively. It can be iferred that
       (i) the wavelength  is 188.4 m. (ii) the wave number k is 0.33 rad/m
       (iii) the wave amplitude is 10 V/m(iv) the wave is propagating along +x direction
       Which one of the following pairs of statements is correct ?
       (1) (iii) and (iv)          (2) (i) and (ii)        (3) (ii) and (iii)       (4) (i) and (iii)
       Ans.       (4)
Sol.   As given          E = 10cos(107t + kx)
       Comparing it with standard equation of e.m. wave,
       E = E0cos(t + kx)
       Amplitude E0 =10V/m and  = 107 rad/s
                                           2c 2  3  10 8
        c =  =               or                          = 188.4 m
                      2                            10 7
       Also
                       10 7
        c     or k           = 0.033
             k       c 3  10 8
       The wave is propagating along y direction.
8.     The speed of light in media M1 and M2 are 1.5 × 108 m/s and 2.0 × 108 m/s respectively. A ray of light enters
       from medium M1 to M2 at an incidence angle i. If the ray suffers total internal reflection, the value of i is
                          2                                                            1  3 
       (1) Equal to sin–1                                 (2) Equal to or less than sin  
                          3                                                               5
                                       1  3                               1  2 
       (3) Equal to or greater than sin                   (4) Less than sin  
                                          4                                   3
       Ans.     (3)
     RESONANCE                                                                                          PAGE - 4
AIPMT (MAINS)-2010
Sol.   Refractive index for medium M1 is
               c    3  10 8
        1                  2
               v 1 1.5  10 8
                c   3  108     3
        2                8
                              
               v 2 2.0  10     2
                   2
        But sinC = 
                     1
                  2 3 / 2             1  3 
        sin i                i  sin  
                  1   2                  4
9.      A ray of light is incident on a 60° prism at the minimum deviation position. The angle of refraction at the first
        face (i.e., incident face) of the prism is
        (1) zero                    (2) 30°                   (3) 45°                 (4) 60°
        Ans.      (2)
Sol.    Angle of prism, A = r1 + r2
        For minimum deviation
        r1 = r2 = r  A = 2r
        Given, A = 60°
                         A 60
        Hence, r =             30
                         2   2
11.     The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to
        transfer it from a circular orbit of radius R1 to another of radius R2 (R2 > R1) is
                1   1                      1   1                 1   1               1     1   1 
        (1) GmM 2  2              (2) GmM               (3) 2GmM                (4)     GmM   
               R                          R                      R                     2    R
                                                                                                   1 R2 
                                                                                                           
                1 R2                       1 R2                   1 R2 
        Ans.       (4)
               GMm   GMm 
Sol.    KE           
               2R 2   2R1 
                  GMm  1   1 
        KE                 
                   2  R1 R 2 
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AIPMT (MAINS)-2010
12.    The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
       (1) 60°                    (2) 15°                 (3) 45°                     (4) 60°
       Ans.     (1)
Sol.   Let v be velocity of a projectile at maximum height H
v = ucos
                                                  u
        According to given problem, v =
                                                  2
              u                  1
               = ucos  cos =
              2                  2
          = 60°
                                                                                            R
13.     From a circular disc of radius R and mass 9M, a small disc of mass M and radius       is removed concentrically..
                                                                                            3
        The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing
        through its centre is
              40                                                                            4
        (1)      MR 2                   (2) MR2             (3) 4MR2                  (4)     MR 2
              9                                                                             9
        Ans.     (1)
Sol.    Mass of the disc = 9M
        Mass of removed portion of disc = M
        The moment of inertia of the complete disc about an axis passing through its centre O and perpendicular to
        its plane is
                           9
                    I1 =     MR 2
                           2
        Now, the moment of inertia of the disc with removed portion
                                    2
                           1 R    1
                    I2 =    M      MR 2
                           2 3   18
                           MR 2 MR 2 40MR 2
                     = 9           
                            2    18    9
14.     A particle moves in x-y plane according to rule x = asint and y = acost. The particle follows
        (1) an elliptical path                             (2) a circular path
        (3) a parabolic path                               (4) a straight line path inclined equally to x and y-axes
        Ans.     (2)
      RESONANCE                                                                                         PAGE - 6
AIPMT (MAINS)-2010
                                     x
Sol.   x = asint             or        sin t         ...(i)
                                     a
                                      y
       y = acost             or         cos t        ...(ii)
                                      a
       Squaring and adding, we get
        x2       y2
                      1     ( cos2t + sin2t = 1)
        a2       a2
       or x2 + y2 = a2
       This is the equation of a circle. Hence particle follows a circular path
15.    A closely wound solenoid of 2000 turns and area of cross-section 1.5 × 10–4 m2 carries a current of 2.0 A. It
       is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a
       uniform magnetic field 5 × 10–2 tesla making an angle of 30° with the axis of the solenoid. The torque on the
       solenoid will be
       (1) 3 × 10–3 N m         (2) 1.5 × 10–3 N m       (3) 1.5 × 10–2 N m          (4) 3 × 10–2 N m
       Ans.     (3)
Sol.   Magnetic moment of the loop.
       M = NIA = 2000 × 2 × 1.5 × 10–4 = 0.6 J/T
       torque  = MBsin30°
                                           1
                      = 0.6 × 5 × 10–2 ×
                                           2
                  = 1.5 × 10–2 Nm
16.    The decay constant of a radio isotope is . If A1 and A2 are its activities at times t1 and t2 respectively, the
       number of nuclei which have decayed during the time (t1 – t2)
       (1) A1t1 – A2t2         (2) A1 – A2                (3) (A1 – A2)/             (4) (A1 – A2)
       Ans.      (3)
Sol.   A1 = N1 at time t1
       A2 = N2 at time t2
       Therefore, number of nuclei decayed during time interval (t1 – t2) is
                                [A1  A 2 ]
                  N1 – N2 =
                                    
17.    A particle having a mass of 10–2 kg carries a charge           of 5 × 10 C. The particle
                                                                                  –8
                                                                                                      is given an initial horizontal
                        5
       velocity of 10 ms in the presence of electric field E and magnetic field B . To keep the particle moving in a
                             –1
       horizontal
                    direction, it is necessary that                              
       (i) B should be perpendicular
                                             to the direction of velocity and E should be along the direction of velocity
       (ii) Both B and E should be along the direction of velocity
       (iii) Both
                  B and E are mutually perpendicular and perpendicular
                                                                                      to the direction of velocity..
       (iv) B should be along the direction of velocity and E should be perpendicular to the direction of velocity
       Which one of the following pairs of statements is possible
       (1) (i) and (iii)              (2) (iii) and (iv)            (3) (ii) and (iii)            (4) (ii) and (iv)
       Ans.       (3)
      RESONANCE                                                                                                   PAGE - 7
AIPMT (MAINS)-2010
18.    The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV, respectively.
       When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is
       (1) 23.6 MeV             (2) 2.2 MeV             (3) 28.0 MeV           (4) 30.2 MeV
       Ans.     (1)
Sol.   1
         H2 + 1H2  2He4 + E
       The binding energy per nucleon of a deuteron = 1.1 MeV
        Total binding energy = 2 × 1.1 = 2.2 MeV
       The binding energy per nucleon of a helium nuclei = 7 MeV
        Total binding energy = 4 × 7 = 28 MeV
        Hence, energy released
           E = (28 – 2 × 2.2) = 23.6 MeV
19.    The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the
       photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1 eV, the
                                                                                            13.6
       stopping potential is estimated to be (the energy of the electron in nth state En =  2 eV )
                                                                                             n
       (1) 5.1 V                 (2) 12.1 V               (3) 17.2 V                 (4) 7V
       Ans.     (4)
Sol.   Energy released when electron in the atom jumps from excited state (n = 3) to ground state (n = 1) is
                                   13.6        13.6   13 .6
       E = h = E3 – E1 =              2
                                              2  =            + 13.6 = 12.1 eV
                                   3           1          9
       Therefore, stopping potential
       eV0 = h – 0
           = 12.1 – 5.1     [ work function 0 = 5.1]
        V0 = 7V
20.    If cp and cv denote the specific heats (per unit mass) of an ideal gas of molecular weight M where R is the
       molecular weight constant, then
       (1) cp – cv = R/M2        (2) cp – cv = R            (3) cp – cv = R/M        (4) cp – cv = MR
       Ans.     (3)
Sol.   Let CV and CP be molar specific heats of the ideal gas at constant volume and constant pressure, respectively,
       then
              CP = Mcp and CV = Mcv
             CP – CV = R      Mcp – Mcv = R
             cp – cv = R/M
21.    A condenser of capacity C is charged to a potential difference of V1. The plates of the condenser are then
       connected to an ideal inductor of inductance L. The current through the inductor when the potential difference
       across the condenser reduces to V2 is
                              1                                                                               1
             C( V1  V2 )2  2                C( V12  V22 )         C( V12  V22 )         C( V12  V22 )  2
       (1)                              (2)                    (3)                  (4)                 
                   L       
                                                    L                      L                      L        
                                                                                                             
       Ans.    (4)
Sol.   In case of oscillatory discharge of a capacitor through an inductor, charge at instant t is given by
               q = q0cost
                         1
       where     =
                         LC
      RESONANCE                                                                                            PAGE - 8
AIPMT (MAINS)-2010
                 q   CV2 V2
        cost = q  CV  V                           ( q = CV) ...(i)
                  0    1   1
             dq d( q0 cos t )
       =                     = –q0sint
             dt       dt
                       1
        = CV1             [1 – cos2t]1/2
                     LC
                                        1/ 2                          1/ 2
                                  2
                   C   V2                     C( V12  V22 ) 
         = V1        1     
                   L   V1 
                                    
                                    
                                               
                                                        L
                                                                            (using (i))
                                                             
22.    The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to
       be a sphere of radius R of uniform density is as shown in figures below. The correct figure is.
       Ans.   (4)
Sol.   The acceleration due to gravity at a depth d below surface of earth is
                          GM     d        d
                g' =          1    g 1  
                          R2  R        R
                 g' = 0 at d = R
       i.e., acceleration due to gravity is zero at the centre of earth .
       Thus, the variation in value g with r is
       for, r > R,
                              g                gR 2
                   g'                  
                                    2
                                                r2                    1
                              h                        g' 
                           1                                   r2
                            R
Here, R+h=r
                                  d  gr
       For      r < R, g' = g  1   
                               R R
       Here, R – d = r  g'  r
       Therefore, the variation of g with distance from centre of the earth
       will be as shown in the figure.
      RESONANCE                                                                                  PAGE - 9
AIPMT (MAINS)-2010
23.    A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are relaeased from
       the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach
       the bottom first ?
       (1) Both together only when angle of inclination of plane is 45°
       (2) Both together
       (3) Hollow cylinder
       (4) Solid cylinder
       Ans.     (4)
Sol.   time taken to reach the bottom of inclined plane
                              K2      
                           2 1  2   
                              R       
                     t=               
                             g sin 
                                  R2
        For solid cylinder K2 =
                                   2
        For hollow cylinder = K2 = R2
        Hence, solid cylinder will reach the bottom first.
24.     The thermo e.m.f. E in volts of a certain thermocouple is found to vary with temperature difference  in °C
        between the two junctions according to the relation
                            2
                E = 30 
                            15
        The neutral temperature for the thermo-couple will be
        (1) 450°C                (2) 400°C                 (3) 225°C                   (4) 30°C
        Ans.    (3)
                              2
Sol.    As given E = 30 –
                              15
        dE
           0
        d
        dE        2                          
            30     0      or    30  2
        d        15                         15
               15  30
        =            = 225°C
                  2
25.     (i) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts
        (ii) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius
        (iii) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the
        body can be considered to be concentrated at its C.G.
        (iv) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from
        the C.G. of the body to the axis.
        Which one of the following pairs of statements is correct ?
        (1) (iv) and (i)           (2) (i) and (ii)            (3) (ii) and (iii)        (4) (iii) and (iv)
        Ans.      (1)
      RESONANCE                                                                                       PAGE - 10
AIPMT (MAINS)-2010
26.    The magnetic moment of a diamagnetic atom is
       (1) much greater than one                    (2) one
       (3) between zero and one                     (4) equal to zero
       Ans.    (4)
Sol.   The magnetic momentum of a diamagnetic atom is equal to zero.
27.    Two identical bar magnets are fixed with their centres at a distance d apart. a stationary charge Q is placed
       at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure
28.    A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V,
       the power delivered to the particle is
             MV 2                        1 MV 2                  MV 2                      1 MV 2
       (1)                         (2)                     (3)                       (4)
              T                          2 T2                    T2                        2 T
       Ans.   (4)
Sol.   Power delivered in time T is
                P = F.V. = MaV
                             dV
       or           P = MV         PdT = MVdV
                             dT
                           MV 2        1 MV 2
                   PT =        or P =
                            2          2 T
29.    A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity . Two
       objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring now
       rotates with angular velocity given by
                       11     Mr 2         M
               2                    2
                                          
                        2    (M  2m)r     (M  2m)
      RESONANCE                                                                                     PAGE - 11
AIPMT (MAINS)-2010
                                                                                        1
30.    A monoatomic gas at pressure P1 and volume V1 is compressed adiabatically to       th of its original volume.
                                                                                        8
       What is the final pressure of the gas
       (1) 64P1                 (2) P1                      (3) 16P1               (4) 32P1
       Ans.     (4)
                                          5
       For monoatomic gas  =
                                          3
                                          5/3
                               V 
               P1V15 / 3  P2  1 
                                8 
               P2 = P1 × (2)5 = 32P1
PART- B (CHEMISTRY)
31.    Among the elements Ca, Mg, P and Cl, the order of increasing atomic radii is :
       (1) Mg < Ca < Cl < P                             (2) Cl < P < Mg < Ca
       (3) P < Cl < Ca < Mg                             (4) Ca < Mg < P < Cl
       Ans.    (2)
Sol.   The atomic radii decreases on moving from left to right in a period, thus order of sizes for Cl, P and Mg is
       Cl < P < Mg. Down the group size increases. Thus overall order is : Cl < P < Mg < Ca.
                       [C]3 [D]
                K=
                       [ A ]2 [B]
                       (0.75 )3 (0.25 )
               K=
                         (0.5)2 (0.75 )
      RESONANCE                                                                                   PAGE - 12
AIPMT (MAINS)-2010
33.    Which of the following expressions correctly represents the equivalent conductance at infinite dilution of
        Al2(SO4)3. Given that  Al3+ and  SO 2  are the equivalent conductances at infinite dilution of the respective
                                                   4
ions?
                                                                    1      1
        (3) (  Al3+ + 3  SO 2  ) × 6                     (4)         +  SO 2 
                                4                                   3 Al3+  2      4
        Ans.      (2)
Sol.    At infinite dilution, when dissociation is complete, each ion makes a definite contribution towards molar
        conductance of the electrolyte irrespective of the nature of the other ion with which it is associated.
34.     The pressure exerted by 6.0 g of methane gas in a 0.03 m3 vessel at 129° C is (Atomic masses) : C = 12.01,
        H = 1.01 and R = 8.314 J K–1 mol–1) :
        (1) 215216 Pa           (2) 13409 Pa              (3) 41648 Pa             (4) 31684 Pa
        Ans.    (3)
Sol.    Given, mass of CH4, w = 6 g
                Volume of CH4, V = 0.03 m3
                T = 129°C = 129 + 273 = 402 K
                R = 8.3114 J K–1 mol–1
        Molecular mass of CH4, M = 12.01 + 4 × 1.01 = 16.05
                                     w
                  PV = nRT =           RT
                                     M
                        w RT     6      8.314  402
                 P=         =        
                        M V    16 .05      0.03
                  = 41647.7 Pa  41648 Pa
35.     Match List I (Equations) with List II (Types of processes) and select the correct option.
                         List I                                      List II
                      Equations                               Types of process
        (a)    Kp > Q                              (i)      Non-spontaneous
        (b)    G° < RT In Q                       (ii)     Equilibrium
        (c)    Kp = Q                              (iii)    Spontaneous and endothermic
                        H
        (d)       T>                                   (iv)   Spontaneous
                        S
        (1) a - (i), b - (ii), c - (iii), d - (iv) (2) a - (iii), b - (iv), c - (ii), d - (i)
        (3) a - (iv), (b -(i), c - (ii), d - (iii) (4) a - (ii), b - (i), c - (iv), d - (iii)
        Ans.       (3)
Sol.    When Kp > Q, rate of forward reaction > rate of backward reaction.
                  Reaction is sontaneous.
        When G° < RT ln Q, G° is positive, reverse reaction is feasible, thus reaction is non-spontaneous.
        When Kp = Q, rate of forward reaction = rate of backward reaction
                  Reaction is in equilibrium.
        When TS > H, G will be negative only when H = + ve.
      RESONANCE                                                                                         PAGE - 13
AIPMT (MAINS)-2010
36.    Among the following four compounds :
       (i) Phenol                    (ii) Methyl phenol               (iii) Meta-nitrophenol                (iv) Para-nitrophenol
       The acidity order is :
       (1) (iv) > (iii) > (i) > (ii) (2) (iii) > (iv) > (i) > (ii) (3) (i) > (iv) > (iii) > (ii) (4) (ii) > (i) > (iii) > (iv)
       Ans.       (1)
Sol.   In phenols, the presence of electron releasing groups decreases the acidity, whereas presence of electron
       withdrawing groups increase the acidity, compared to phenol. Among the meta and para-nitrophenols, the
       latter is more acidic as the present of – NO2 group at para position stabilises the phenoxide ion to a greater
       extent than when it is present at meta position. Thus, correct order of acidity is :
       Para-nitrophenol > meta-nitrophenol > phenol > methyl phenol
              (iv)                         (iii)                  (i)                 (ii)
37.      Among the following which one has the highest cation to anion size ratio?
         (1) CsI                    (2) CsF        (3) LiF                   (4) NaF
         Ans.    (2)
Sol.     The order of size of given cations is
                 Li+ < Na+ < Cs+
         and the order of size of given anions is
                 I– > F–
         Thus, when the cation is large and anion is smallest, the cation to anion size ratio is maximum.
         Hence, cation to anion size ratio is maximum for CsF.
38.      Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be :
         (1) Infinite             (2) 3 Joules           (3) 9 Joules            (4) Zero
         Ans.       (4)
Sol.     Since the ideal gas expands spontaneously into vacuum, Pext = 0, hence work done is also zero.
40.      A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be : (h = 6.6 × 10–34 Js)
         (1) 6.6 × 10–32 m        (2) 6.6 × 10–34 m        (3) 1.0 × 10–35 m     (4) 1.0 × 10–32 m
         Ans.     (3)
                                                     h
Sol      According to de-Broglie equation,  =
                                                    mv
                  Given, h = 6.6 × 10–34 J s
                  m = 0.66 kg
                  v = 100 m s–1
                       6.6  10 34
                 =                = 1 × 10–35 m
                       0.66  100
41.      Consider the following relations for emf of an electrochemical cell :
         (i) EMF of cell = (Oxidation potential of anode) – (Reduction potential of cathode)
         (ii) EMF of cell = (Oxidation potential of anode) + (Reduction potential of cathode)
         (iii) EMF of cell = (Reduction potential of anode) + (Reduction potential of cathode)
         (iv) EMF of cell = (Oxidation potential of anode) – (Oxidation potential of cathode)
         Which of the above relations are correct
         (1) (iii) and (i)          (2) (i) and (ii)          (3) (iii) and (iv)        (4) (ii) and (iv)
         Ans.       (4)
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Sol.   EMF of a cell = Reduction potential of cathode – Reduction potential of anode
       = Reduction potential of cathode + Oxidation potential of anode
       = Oxidation potential of anode – Oxidation potential of cathode.
42.     In which of the following molecules, the central atom does not have sp3 hybridization?
        (1) CH4                   (2) SF4                   (3) BF–4                 (4) NH+4
        Ans.     (2)
Sol.    For neutral molecules,
        No. of electron pairs = No. of atoms bonded to it + 1/2 [Gp. no of central atom – Valency of central atom]
                                                    1
                For CH4, no. of e– pairs = 4  [ 4  4] = 4 (sp3 hybridisation)
                                                    2
                                        1
        For SF4, no. of e– pairs = 4  [6  4] = 5 (sp3 d hybridisation)
                                        2
        For ions,
        No. of electron pairs = No. of atoms bonded to it + 1/2 [Gp. no. of central atom – Valency of central atom ±
        No. of electrons]
                                                1
                For BF4–, no. e– pairs = 4  [3  4  1] = 4 (sp3 hybridisation)
                                                2
                                            1
        For NH+4, no. of e– pairs = 4  [5  4  1] = 4 (sp3 hybridisation)
                                            2
43.     For vaporization of water at 1 atmospheric pressure, the values of H and S are 40.63 kJ mol–1 and 108.8
        JK–1 mol–1, respectively. The temperature when Gibb's energy change (G) for this transformation will be
        zero, is :
        (1) 273.4 K               (2) 393.4 K             (3) 373.4 K              (4) 293.4 K
        Ans.     (3)
Sol.    According to Gibb's equation, G = H – TS when G = 0, H = TS
        Given, H = 40.63 kJ mol–1 = 40.63 × 103 J mol–1
                 S = 108.8 J K–1 mol–1
                      H   40.63  103
                T=      =             = 373.43 K.
                      S     108.8
44.     Match List I (substances) with List II (processes) employed in the manufacture of the substances and select
        the correct option :
                              List I                                             List II
                       (Substances)                                         (Processes)
        (a)        Sulphuric acid                          (i)        Haber's process
        (b)        Steel                                   (ii)       Bessemer's process
        (c)        Sodium hydroxide                        (iii)      Leblanc process
        (d)        Ammonia                                 (iv)       Contact process
        (1) a - (i), b- (iv), c- (ii), d- (iii)            (2) a- (i), b- (ii), c- (iii), d- (iv)
        (3) a - (iv), b - (iii), c - (ii), d - (i)         (4) a- (iv), b - (ii), c - (iii), d - (i)
        Ans.       (4)
45.     When glycerol is treated with excess of HI, it produces :
        (1) 2-iodopropane                 (2) allyl iodide            (3) propene                    (4) glycerol triiodide
        Ans.       (1)
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Sol.
47.    The compound A on heating gives a colourless gas and a residue that is dissolved in water to obtain B.
       Excess of CO2 is bubbled through aqueous solution of B, C is formed which is recovered in the solid form.
       Solid C on gentle heating gives back A. The compound A is :
       (1) CaCO3                (2) Na2CO3             (3) K2CO3               (4) CaSO4.2H2O
       Ans.    (1)
Sol.   The reactions can be summarised as follows
       A 
            colourless gas + residue
                           excess CO 2
       Residue + H2O  B          C  A
                                          
                             
       This is possible only when A is CaCO3. The reactions are as follows :
               CaCO3 
                               CO2      +       CaO
                 (A)         (colourless gas)    (residue)
                                       CO 2
               CaO + H2O  Ca(OH)2       Ca(HCO )
                                    ( excess )      3 2  CaCO3
                                                         
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48.    Match the compounds given in List I with their characteristic reactions given in List II. Select the correct
       option.
                              List I                               List II
                     (Compounds)                             (Reactions)
       (a)        CH3(CH2)3NH2                    (i)   Alkaline hydrolysis
       (b)        CH3C  CH                       (ii)  With KOH (alcohol) and CHCl3 produces bad smell
       (c)        CH3CH2COOCH3                    (iii) Gives white ppt. with ammoniacal AgNO3
       (d)        CH3CH (OH)CH3                   (iv)  With Lucas reagent cloudiness appears after 5 minutes
       (1) a-(ii), b - (i), c - (iv), d- (iii)          (2) a - (iii), b - (ii), c - (i), d - (iv)
       (3) a - (ii), b - (iii), c - (i), d - (iv)       (4) a - (iv), b - (ii), c - (iii), d - (i)
       Ans.       (3)
                         KOH(alc.)
Sol.    CH3CH2CH2CH2NH2   CH3CH2CH2CH2NC + 3 KCl + 3 H2O
                                  CHCl3
                             Heat
        CH3CH2COOCH3 + NaOH  CH3CH2COONa + CH3OH
49. Which one of the following compounds will be most readily dehydrated?
        Ans.     (3)
Sol.    (3) : The ease of dehydration of the given compounds can be explained on the basis of the stability of the
        carbocation formed. In case of options (1), (2) and (4), a secondary carbocation is formed but the presence
        of an electron withdrawing > C = O group adjacent to the positively charged carbon, intensifies the charge
        and hence destabilies the species.
                                  (c)
                              (more stable)
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50.    The rate of reaction
       2 NO + Cl2  2 NOCl is given by the rate equation rate = k[NO]2 [Cl]2. The value the rate of constant can
       be increased by :
       (1) increasing the temperature                    (2) increasing the concentration of NO
       (3) increasing the concentration of the Cl2       (4) doing all of above
       Ans.     (1)
Sol.   Rate constant is independent of the initial concentration of the reactants. It has a constant value at fixed
       temperature. Hence the value of rate constant can be increased by increasing the temperature.
Sol.    [Ni(NH3)2Cl2] has tetrahedral geometry and thus, deos not exhibit isomerism due to presence of symmetry
        elements.
52. Which of the following conformers for ethylene glycol is most stable?
Ans. (4)
54.     Which of the following oxidation states is the most common among the lanthanoids?
        (1) 4                      (2) 2                   (3) 5                    (4) 3
        Ans.      (4)
Sol.    The common stable oxidation state of all the lanthanoids is + 3. The oxidation state of + 2 and + 4 are also
        exhibited by some of the elements. These oxidation states are only stable in those cases where stable 4f°,
        4f7 or 4f14 configuration are achieved.
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Sol.   P4O10 has the following structure :
56.     Some of the properties of the two species, NO–3 and H3O+ are described below. Which one of them is
        correct?
        (1) Dissimilar in hybridization for the central atom with different structures
        (2) Isostructural with same hybridization for the central atom
        (3) Isostructural with different hybridization for the central atom
        (4) Similar in hybridiation for the central atom with different structures
        Ans.     (1)
               –
Sol.    In NO 3,
                        1
                H=        [5  0  0  1]  3
                        2
        Thus, in NO–3, the central atom is sp2 hybridised and it has trigonal planar geometry.
        In H3O+,
                        1
                H=        [ 6  3  1  0]  4
                        2
        Thus, O is sp3 hybridised in H3O+ and H3O+ has pyramidal geometry due to the presence of one lone pair
        of electrons.
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Sol.   Given
       (I)     Fe2O3(s) + 3CO(g)  3Fe(s) + 3CO2(g)              ;       H = – 26.8 kJ
       (II)    FeO(s) + CO(g)  Fe(s) + CO2(g)                   ;       H = – 16.5 kJ
       On multiplying equation (II) with 2, we get
       (III)   2FeO(s) + 2CO(g)  2Fe(s) + 2CO2(g)               ;       H = – 33 kJ
       On substracting equation (IIII) from, I we get
               Fe2O3(s) + CO(g)  2FeO(s) + CO2(g)               ;       H = – 26.8 – (– 33) = + 6.2 kJ
       Which of the above compound (s), on being warmed with iodine solution and NaOH, will give iodoform?
       (1) (i), (iii) and (iv) (2) Only (ii)         (3) (i), (ii) and (iii)    (4) (i) and (ii)
       Ans.        (3)
Sol. Compounds having either group or CH3CHOH – group, give iodoform when warmed with I2 and
       NaOH.
       Thus,
       give iodoform when warmed with I2 and NaOH, (Remember, NaOI oxidises CH3CH2OH to CH3CHO, thus it
       gives positive iodoform test.)
Sol.
       Cornea is the transparent anterior portion of the outer coat of the vertebrate eye covering the iris and the
       pupil. It is avascular as it lacks lymphatic and blood vessels.
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                                          PART- C (BIOLOGY)
61.    Which one of the following is manoecious
       (1) Date palm            (2) Marchantia             (3) Cyas                  (4) Pinus
       Ans.     (4)
63.    Given below are four statements (A-D) each with one or two blanks. Select the option which correctly fills up
       the blanks in two.
       Statements :
       (A) Wings of butterfly and birds look alike and are the results of ..... (i)....., evolution
       (B) Miller showed that CH4, H2, NH3 and .... (i) ..., when exposed to electric discharge in a flask resulted in
       formation of ...... (ii).....
       (C) Vermiform appendix is a ...... (i)..... organ and an ...... (ii).... evidence of evolution.
       (D) According to Darwin evolution took place due to ...... (i).... and .......(ii)..... of the fittest.
       Options :
       (1) (C) – (i) vestigial, (ii) anatomical, (D) (i) mutations (ii) multiplication
       (2) (D) – (i) small variation, (ii) survival, (A) – (i) convergent
       (3) (A) – (i) convergent, (B) – (i) oxygen, (ii) nucleosides
       (4) (B) – (i) water vapour, (ii) amino acids, (C) – (i) rudimentary (ii) anatomical
Ans. (2)
64.    In eukaryotic cell transcription, RNA splicaing and RNA capping take place inside the
       (1) ER                     (2) Ribosomes           (3) Nucleus            (4) Dictyosomes
       Ans.    (3)
65.    Select the correct matching of a hormone, its source and function.
                Horm one                  Source                            Function
                                                             Regulates growth of m am mary
         1    Prolactin          Posterior pituitary
                                                             glands and milk form ation in females
         2    Vasopression       Posterior pituitary         Increases loss of water through urine
                                                             Increases heart beat, rate of
         3    Norepinephrine Adrenal m edulla
                                                             respiration and alertness
                                 Beta-cells of lslets
         4    Glucagon                                       Stim ulates glycogenolysis
                                 of langerhans
       Ans.    (3)
66.    A cross in which an organism showing a dominant phenotype crosed with the recessive parent in order to
       know its genotype is called
       (1) Dihybrid cross       (2) Monohybrid cross   (3) Back cross            (4) Test cross
       Ans.    (4)
67.    A person suffering from a disease caused by Plasmodium, experinces recurring chill and fever at the time
       when
       (1) The microgametocytes and megagametocytes are being destoryed by the WBCs.
       (2) The sporozoites released from RBCs are being rapidly killed and broken down inside spleen.
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       (3) The trophyzoitges reach maximum growth and give out certain toxins
       (4) The parasite after its rapid multiplicaiton inside RBCs ruptures them, releasing the stage to enter fresh
       RBCs.
       Ans.     (3)
68.     Select the correct combination of the statements (a-d) regarding the characteristics of certain organisms.
        (a) Methanogens are archaebacteria which produce methane in marshy areas
        (b) Notoc is a filamentous blue-green alga which fixes atmospheric nitrogen
        (c) Chemosynthetic autotrophic bacteria synthesize cellulose form glucose
        (d) Mycoplasma lack a cell wall and can survive wihout oxygen.
        The correct statemetns are
        (1) (a), (b), (d)         (2) (b), (c)             (3) (a), (b), (c)       (4) (b), (c), (d)
        Ans.      (1)
69.     Read the following four statements, A, B, C and D and select the right option having both correct statements.
        Statement :
        (A) Z scheme of light reaction takes place in presence of PSI only
        (B) Only PSI is functional in cyclic photophosphorylaiton.
        (C) Cyclic photophosphorylation results into synthesis of ATP and NADPH2
        (D) Stroma lamellae lack PSII as well as NADP.
        Options :
        (1) C and D               (2) B and D              (3) A and B                (4) B and C
        Ans.    (2)
70.     Which one of the following lechniques is safest for the detection of cancers
        (1) Histopathological studies                      (2) Magnetic resonance imaging (MRI)
        (3) Radiography (X-ray)                            (4) Computed tomography (CT)
        Ans.     (2)
71.     Select the answer with correct matching of the structure, its location and function.
                                                                           Controls respiration
                            3   Cerebellum              Mid brain
                                                                              and ganieie
                                                                             Controls Body
                                                                          temperature, urge for
                            4   Hypothalamus           Fore brain
                                                                           eating and drinking
Ans. (4)
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72.    Identify the components labelled A, B, C and D in the diagram below from the list (i) to (viii) given with.
        Components :
        (i) Cristae of mitochondria
        (ii) Inner membrane of mitochondria
        (iii) Cytoplasm
        (iv) Smooth endoplasmic reticulum
        (v) Rough endoplasmic reticulum
        (vi) Mitochondrial matrix
        (vii) Cell vacuole
        (viii) Nucleus
        The correct components are
                 A           B      C        D
        (1)      (v)         (i)    (iii)    (ii)
        (2)      (v)         (iv)   (viii)   (iii)
        (3)      (i)         (iv)   (viii)   (vi)
        (4)      (vi)        (v)    (iv)     (vii)
        Ans.     (2)
73.     Signals from fully developed foetus and placenta ultimately lead to parturition which requires the release of
        (1) Ralaxin from placenta                             (2) Estrogen from placenta
        (3) Oxytocin from maternal pituitary                  (4) Oxytocin from foetal pituitary
        Ans.     (3)
74.     Consider the following four statements A, B, C and D select the right option for two correct statements.
        Statements :
        (A) In vexillary aestivation, the large posteior petal is called-standard, two lateral ones are wings and two
        small anteior petals are termed keel.
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75.    The most apparent change during the evloutionary history of Homo sapiens is traced in
        (1) Remarkable increase in the brains size         (2) Loss of body hair
        (3) Walking upright                                (4) Shortening of the jaws
        Ans.     (1)
77.     Crocodile and Penguin are similar to Whale and Dogfish in which one of the following fetures
        (1) Have gill slits at some stage
        (2) Possess a solid single stranded central nerovous system
        (3) Lay eggs and guard them till they hatch
        (4) Possess bony skeleton.
        Ans.     (1)
78.     The Indian Rhinoceros is a natural inhabitant of which one of the Indian states
        (1) Assam                 (2) Uttarakhand          (3) Uttar Pradesh         (4) Himachal Pradesh
        Ans.     (1)
79.     In Antirrhinum two plants with pink flowers were hybridized. The F1 plants produced red, pink and white
        flowers in the proportion of 1 red, 2 pink and 1 white. What could be the genotype of the two plants used for
        hybridization? Red flower colour is determined by RR, and white by rr genes.
        (1) rr                    (2) rrr                  (3) RR                    (4) Rr
        Ans.     (4)
80.     Fastest distribution of some injectible material / medicine and with no risk of any kind can be achieved by
        injecting it into the
        (1) Lymph vessels         (2) Muscles              (3) Arteries              (4) Veins
        Ans.     (4)
83.     The fruit fly Drosophila melanogaster was found to be very suitbable for experimental verification of chromo-
        somal theory of inheritance by Morgan and his colleagues because
        (1) It completes life cycle in about two weeks
        (2) It reproduces parthenogenetically
        (3) A single mating produces two young flies
        (4) Smaller female is easily recognisable from larger male
        Ans.     (1)
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84.    Leguminous plants are able to fix atmospheric nitrogen through the process of symbiotic nitrogen fixation.
        Which one of the following statements is not correct during this process of nitrogen fixation
        (1) Nitrogenase is insensitive to oxygen
        (2) Leghaemoglobin scavenges oxygen and is pinkish in colour
        (3) Nodules act as sites nitrogen fixation
        (4) The enzyme nitrogenase catalyses the conversion of atmospheric N2 to NH3
        Ans.       (1)
85.     Which one of the following can not be used for preparation of vaccines against plague
        (1) Heat-Killed suspensions of virulent bacteria
        (2) Formalin-inactivated suspensions of virulent bacteria
        (3) Avirulent live baeteria
        (4) Synthetic capsular polysaccharide material
        Ans.       (1)
86.     One of the commonly used plant growth hormone in tea plantations is
        (1) Indole-3-acetic acid (2) Ethylene               (3) Abscisic acid           (4) Zeatin
        Ans.       (1)
87.     The haemoglobin content per 100 ml of blood of a normal healthy adult is
        (1) 12 - 16 g                 (2) 5 - 11 g          (3) 25 -30 g                (4) 17 - 20 g
        Ans.       (1)
91.     ABO blood grouping is controlled by gene I which has three alleles and show co-dominance. There are six
        genotypes. How many phenotypes in all are possible
        (1) Five                      (2) Six               (3) Three                   (4) Four
92.     Given below are four statements (a-d) regarding human blood circulatory system
        (a) Arteries are thick-walled and have narrow lumen as compared to veins
        (b) Angina is acute chest pain when the blood ciruclation of the brain is reduced
        (c) Persons with blood group AB can donate blood to any person with any blood group under ABO system
        (d) Calcium ions play a very important role in blood clotting
        Which two of the above statements are correct
        (1) (c) and (d)               (2) (a) and (d)       (3) (a) and (b)             (4) (b) and (c)
        Ans.       (2)
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93.    Vegetative propagation in Pistia occurs by
        (1) Sucker                 (2) Stolen                 (3) Offset                   (4) Runner
        Ans.        (3)
94.     Which one of the following pairs of structure is correctly matched with their correct description
               Structure s                              De scription
          1    Premolars and molars                –    20 in all and 3-rooted
          2    Tibia and fibula                    –    Both form parts of knee joint
          3    Cartilage and cornea                –    No blood supply but do require
                                                        oxygen for respiratory need
          4    Shoulder joint and elbow joint      –    Ball and socket type of joint
        Ans.        (3)
95.     Secretions from which one of the following are rich in fructose, calcium and some enzymes
        (1) Salivary glands                                   (2) Male accessory glands
        (3) Liver                                             (4) Pancreas
        Ans.        (2)
97.     Three of the following statements about enzymes are correct and one is wrong which one is wrong
        (1) Most enzymes are proteins but some are lipids
        (2) Enzymes require optimum pH for maximal activity
        (3) Enzymes are denatured at high temperatures but in certain exceptional organisms they are effective even
        at tempreatures 80°- 90°C
        (4) Enzymes are highly specific
        Ans.        (1)
99.     In which one of the following organisms its excretory organs are correctly stated
        (1) Frog          –        Kidneys, skin and buccal epithelium
        (2) Humans        –        Kidneys, sebaceous glands and tear glands
        (3) Earthworm     –        Pharyngeal, integumentary and septal nephridia
        (4) Cockroach     –        Malpighian tubules and enteric caeca
        Ans.        (3)
100.    If for some reason the pariental cells of the gut epithelium become partially nonfunctional, what is likely to
        happen.
        (1) Proteins will not be adequately hydrolysed by pepsin into proteoses and peptones
        (2) The pancreatic enzymes and specially the trypsin and lipase will not work efficiently
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       (3) The pH of stomach will fall abruptly
        (4) Steapsin will be more effective
        Ans.     (1)
101.    Which one of the following is now being commercially produced by biotechnological procedures
        (1) Insulin                (2) Nicotine             (3) Morphine              (4) Quinine
        Ans.     (1)
102.    The figure given below shows the conversion of a substrate into produced by an enzyme. In which one of the
        four option (1-4) the components of reaction labelled as A, B, C and D are identitied correctly.
        Options :
                        A                      B                C                            D
                Activation energy                      Activation energy
           1                      Transition state                       Potential energy
                with enzyme                            without enzym e
                                                       Activation energy
           2    Potential energy    Transition state                     Activation energy without enzyme
                                                       with enzym e
                                                       Activation energy
           3    Transition state    Potential energy                     Activation energy with enzyme
                                                       without enzym e
                                                       Activation energy
           4    Potential energy    Transition state                     Activation energy without enzyme
                                                       with enzym e
Ans. (3)
103.    An eleborate network of filamentous proteinaceous structures present in the cytoplasm which helps in the
        maintenance of cell shape is called.
        (1) Cytoskeleton                                    (2) Thylakoid
        (3) Endosplasmic Reticulum                                   (4) Plasmalemma
        Ans.     (1)
104.    Given below is the diagram of a stomatal apparatus. In which of the folloiwng all the four parts Labelled as A,
        B, C and D are correctly identified.
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                      A                   B                    C                 D
         1    Epidermal cell      Subsidiary cell      Stomatal aperture Guard cell
         2    Subsidiary cell     Epiderm al cell      Guard cell        Stomatal aperture
         3    Guard cell          Stomatal aperture    Subsidiary cell   Epidermal cell
         4    Epidermal cell      Guard cell           Stomatal aperture Subsidiary cell
Ans. (1)
105.   Which one of the following statements about the particular entity is true.
       (1) DNA consists of a core of eight histones
       (2) Centromere is found in animal cells, which produces aster during cell division
       (3) The gene for producing insulin is present in every body cell
       (4) Nucleosome is formed of nucleotides
       Ans.    (3)
                       A                  B                    C
         1    Carboxylation       Decarboxylation      Reduction
         2    Decarboxylaiton     Reduction            Regeneration
         3    Fixation            Transamination       Regeneration
         4    Fixation            Decrboxylaiton       Regeneration
Ans. (4)
107.   Which one of the following is a xerophytic plant in which the stem is modified into a flat, green and succulent
       structure
       (1) Acacia                (2) Opuntia               (3) Casuarina             (4) Hydrilla
       Ans.    (2)
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108.   Examine the figures A, B, C and D. In which one of the four options all the items, A, B, C and D are correct
Options:
        Opn.        A             B             C               D
         1     Funaria       Adinatum      Salvinia       Riccia
         2     Chara         Marchantia    Fucus          Pinus
         3     Equisetum     Ginkgo        Selaginella    Lycopodium
         4     Selaginella   Equisetum     Salvinia       Ginkgo
Ans. (4)
110.    Given below is the diagram of a bacteriophage. In which one of the options all the four parts A, B, C and D are
        correct.
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        Options :
                       A              B           C            D
              1   Collar        Tail fibres   Head       Sheath
              2   Tail fibres   Head          Sheath     Collar
              3   Sheath        Collar        Head       Tail fibres
              4   Head          Sheath        Collar     Tail fibres
        Ans.      (4)
111.    Which one of the following is the the correct description of a certain part of a normal human skeleton
        (1) Glenoid cavity is a depression to which the thigh bone articulates
        (2) Parietal bone and the temporal bone of the skull are joined by fibrous joint
        (3) First vertebra is axis which articulates with the occipital condyles
        (4) The 9th and 10th pairs of ribs are called the floating ribs
        Ans.      (2)
Ans. (1)
114.    Examine the figures (A-D) given below and select the right option out of 1-4, in which all the four structures
        A, B, C and D are identified correctly.
        Structures :
Options :
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                      A               B           C                 D
                                            Megaspore
         1     Sucker       Seta                             Gemma cup
                                            mother cell
         2     Rhizome      Sporangiophore Polar cell        Globule
         3     Runner       Archegoniophore Synergid         Antheridium
         4     Offset       Antheridiophore Antipodals       Oogonium
       Ans.     (4)
115. Which of the following representations shows the pyramid of number in a forest ecosystem
116.   Study the pedigree chart of a certain family given below and select the correct conclusion which can be
       drawn for the character.
119.   In genetic engineering, a DNA segment (gene) of interest, is transferred to the host cell through a vector.
       Consider the following four agents (A-D) in this regard and select the correct option about which one or more
       of these can be used as a vector/vectors:
       (A) a bacterium           (B) plasmid               (C) plasmodium             (D) bacteriophage
       Options :
       (1) (B) and (D) only      (2) (A), (B) and (D) only (3) (A) only               (4) (A) and (C) only
       Ans.     (1)
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AIPMT (MAINS)-2010
120.   Study the cycle shown below and select the option which gives correct words for all the four blanks A, B, C
       and D.
Options :
                       A                  B                C           D
           1   Denitrification   Nitrificaiton      Plants      Anim als
           2   Nitrification     Am m onification   Anim als    Plants
           3   Denitrification   Am m onification   Plants      Anim als
           4   Nitrification     Denitrification    Anim als    Plants
Ans. (3)
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