Solution
Solution
1016CMD303085250003 MD
PHYSICS
1) Three bodies each of mass 2kg are arranged as shown in figure. The coefficient of kinetic friction
between B & C is 0.4 and between C and ground is 0.1. Then choose the correct option(s) :
2)
The ratio of acceleration of blocks A placed on smooth incline with block B placed on rough incline is
2 : 1. The coefficient of kinetic friction between block B and incline is :-
(1) 0.5
(2) 0.75
(3) 0.57
(4) None of these
3) For the figure shown mA = 10 kg, mB = 15 kg and F = 90 N. Find the accelerations of the blocks
4) The mass of a lift is 600 kg and it is moving upwards with a uniform acceleration of 2 m/s2. Then
the tension in the cable of the lift is :-
(1) 7080 N
(2) 5880 N
(3) 4680 N
(4) Zero
5) A truck starts from rest and accelerates uniformly with 5 m/s2. The minimum value of coefficient
of static friction between surface of truck and a box placed on it such that box does not slip back,
will be :-
(1) 0.4
(2) 0.6
(3) 0.5
(4) 0.2
6) With what minimum acceleration can a fireman slides down a rope while breaking strength of the
(1)
g
(2) g
(3)
g
(4) Zero
7) A uniform rope of length ℓ lies on a table. If the coefficient of friction is μ, then the maximum
length ℓ1 of the part of this rope which can overhang from the edge of the table without sliding down
is
(1)
(2)
(3)
(4)
(1) 36 N
(2) 32 N
(3) 24 N
(4) 12 N
9) For the arrangement shown in the figure, the tension in the string is : –
(1) 6N
(2) 6.4 N
(3) 0.4 N
(4) Zero
10) A block of mass 5 kg is kept on a rough horizontal floor. It is given a velocity 33 m/s towards
right. A force of N continuously acts on the block as shown in the figure. If the coefficient of
friction between block and floor is 0.5 the velocity of block after 3 seconds is (g = 10 m/s2)
(1) 2 m/s
(2) Zero
(3) 33/12 m/s
(4) None of above
11) A smooth cylinder of mass m and radius R is resting on two corner edges A and B as shown in
(1)
(2)
(3)
(4)
12) Two bodies of mass 6 kg and 4 kg are tied to a string as shown in the adjoining figure. If the
table is smooth and pulley is frictionless, then acceleration of mass 6 kg will be : (g = 10 ms–2)
(1) 60 ms–2
(2) 40 ms–2
(3) 6 ms–2
(4) 4 ms–2
13) Two blocks of masses 3 kg and 5 kg are connected to a pulley as shown. What will be their
acceleration if the pulley is set free ?
(g = acceleration due to gravity)
(1) g
(2) g/2
(3) g/3
(4) g/4
14) A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of
the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively.
The average speed of the particle during this motion is :-
15) A man walk 40 m along north direction then he walk 30 m along east direction and finally
m along s-w direction then its displacement is :-
16) A body is moving with constant speed of 5m/s on a circular path of radius 5m. The magnitude of
average velocity of the body after 7π secs is :-
(1) 5 m/s
(2)
(3)
(4) 0 m/s
17) The displacement of a body along x-axis depends on time as . Then the velocity of
body:-
18)
The position vector of a particle is given as . The time after which the
velocity vector and acceleration vector becomes perpendicular to each other is equal to :-
(1) 1 sec.
(2) 2 sec.
(3) 1.5 sec.
(4) 5 sec.
19) The position x of a particle with respect to time t along x-axis is given by: x = 9t2 – t3, where x is
in metres and t in second. What will be the position of this particle when it achieves maximum speed
along the +x direction?
(1) 54 m
(2) 81 m
(3) 24 m
(4) 32 m
20) A body is moving along a straight line according to the equation of motion x = t2 – 3t + 4, where
x is in meter and t is in second. What is the acceleration of the body when it comes to rest ?
(1) Zero
(2) 2m/s2
(3)
(4) 1m/s2
21) A car is moving with speed 15 m/s. Suddenly the driver sees an obstruction on the road and
takes 0.4 sec to apply the brake, which cause a deacceleration of 5 m/s2. Then distance travelled by
car before stopping-
(1) 22.5 m
(2) 24.5 m
(3) 26.5 m
(4) 28.5 m
22) A particle is moving with velocity 50 m/s & acceleration 25 m/s2 is acting opposite to velocity
then find distance travelled by it in t = 0 to t = 4 sec :-
(1) 0
(2) 2s
(3) 50
(4) 100 m
23) A thin walled metal tank of surface area 5m2 is filled with water and contains an immersion
heater dissipating 1kW. The tank is covered with 4 cm thick layer of insulation whose thermal
conductivity is 0.2 watt/ m-K. The outer face of the insulation is at 25°C. The temperature of the
tank in the steady state is -
(1) –15°C
(2) 65°C
(3) 20°C
(4) 90°C
24) Two rods with the same dimensions have thermal conductivities in the ratio 1 : 2. They are
arranged between heat reservoirs with the same temperature difference, in two different
configurations, A and B. The rates of heat flow in A and B are IA and IB respectively. The ratio IA/IB is
equal to:-
(1) 1:2
(2) 1:3
(3) 2:5
(4) 2:9
25) The temperature gradient in a rod of 0.5 m long is 80°C/m. If the temperature of hotter end of
the rod is 30°C, then the temperature of the cooler end is
(1) 40°C
(2) –10°C
(3) 10°C
(4) 0°C
26) The emission spectra of a body at temperature 327°C and 627°C is shown. If A1 and A2 be the
area under the two curves, the ratio of (A2/A1) :-
(1) 81/16
(2) 9/4
(3) 27/8
(4) 16/81
27) Suppose the sun expands so that its radius becomes 100 times its present radius and its surface
temperature becomes half of its present value. The total energy emitted by it will becomes:
28) A pan filled with hot food cools from 94°C to 86°C in 2 minutes when the room temperature is at
20°C. How long will it take to cool from 71°C to 69°C ?
(1) 48 sec.
(2) 42 sec.
(3) 60 sec.
(4) 72 sec.
29) The power emitted per unit area of a black body is R watt/m2. At what wavelength will the power
radiated by the black body be maximum, If the stefan's constant is σ and Wein's constant is b, then:-
(1)
(2)
(3)
(4)
30) A rigid tank contains 35 kg of nitrogen at 6 atm. Sufficient quantity of oxygen is supplied to
increase the pressure to 9 atm, while the temperature remains constant. Amount of oxygen supplied
to the tank is :
(1) 5 kg
(2) 10 kg
(3) 20 kg
(4) 40 kg
31) Fig. shows graphs of pressure vs density for an ideal gas at two temperatures T1 and T2 :
(1) T1 > T2
(2) T1 = T2
(3) T1 < T2
(4) any of the three is possible
32) The temperature of an ideal gas is increased from 27°C to 927°C the rms speed of its molecules
becomes :-
(1) twice
(2) half
(3) four times
(4) one-fourth
33) The temperature of a gas at –68°C. At what temperature will the average kinetic energy of its
molecules be twice that of at –68°C.
(1) 137°C
(2) 127°C
(3) 100°C
(4) 105°C
34) The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C
to 50°C when no work is done is :
(1) 250 R
(2) 750 R
(3) 175 R
(4) 500 R
35) The P-V diagram of a thermodynamic system is as shown, then work done by gas from D to E to
F will be -
(1) –450 J
(2) 450 J
(3) 900 J
(4) 135 J
(1)
(2)
(3)
(4)
38) A diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between
temperature and volume of this process is TVx = constant then X is-
(1)
(2)
(3)
(4)
39) A particle executes-simple harmonic motion according to equation . Its angular
frequency of oscillation is
(1)
(2)
(3)
(4)
41) Assertion : Acceleration is proportional to the displacement; this condition is not sufficient for
motion in simple harmonic.
Reason : In simple harmonic motion, direction of displacement is also considered.
(1) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(2) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(3) Assertion is true but Reason is false.
(4) Assertion is false but Reason is true.
y1 = 6 cos ,
y2 = 3 ; then
43) Out of the following functions representing motion of a particle which represents SHM :
(A) y = sin ωt – cos ωt
(B) y = sin3ωt
(C) y = 5cos
(D) y = 1 + ωt + ω2t2
Which functions represent SHM ?
45) The radius of circle, the period of revolution initial position and sense of revolution, are indicated
(1)
(2)
(3)
(4)
CHEMISTRY
–3 –3 n+ 3+
1) 6 × 10 mole K2Cr2O7 reacts completely with 9 × 10 mole X to give and Cr . The value of
n is :-
(1) 1
(2) 2
(3) 3
(4) None of these
2) Which of the following chemical reaction depicts the oxidising behaviour of H2SO4?
(1)
(2)
(3)
(4)
3)
4) What is the volume (in ml) of 0.1M potassium permanganate solution required to completely
oxidize 100ml of 0.5 M ferrous sulphate solution in acidic medium ?
(1) 20 ml
(2) 200 ml
(3) 100 ml
(4) 50 ml
5) 2 mole of N2H4 loses 20 mole of electrons determine final oxidation number of Nitrogen
(1) +2
(2) +3
(3) +5
(4) –3
(1) 6, 3, 7
(2) 7, 3, 6
(3) 3, 6, 7
(4) 1, 2, 7
(1)
(2)
(3)
(4)
8)
List-I List-II
(Reaction) (Type of Redox Reaction)
(A) N2 + O2 → 2NO (I) Decomposition redox reaction
(1) SO2
(2) Cl2O3
(3) NO2
(4) CO2
10) A compound containing x, y and z atoms oxidation no of x is +3, y is –5 and z is +1 then the
possible formula of compound is :-
(1) xyz
(2) xyz2
(3) x2yz
(4) (xy)2z
11) For a given reaction, the overall enthalpy change is +100 kJ/mol and activation energy of the
reverse reaction is +200 kJ/mol. The activation energy for the forward reaction would be :-
12) In a gaseous phase reaction, A2(g) → 1/2 B(g) + C(g), the increase in pressure of B(g) from 100 mm to
120 mm is noticed in 5 minute. The rate of disappearance of A2 in mm min–1 is :-
(1) 4
(2) 8
(3) 16
(4) 2
13) For which of the following reaction temperature gradient or the effect of temperature change
upon rate of reaction is highest?
(1) A → Product (Ea = 10)
(2) B → Product (Ea = 100)
(3) C → Product (Ea = 1000)
(4) D → Product (Ea = 50)
A B Activation Energy
A C Activation Energy
If Ea2 = 2Ea1 then k1 and k2 are releated
(1)
(2)
(3)
(4)
16) According to the following figure, the magnitude of the enthalpy change of the reaction A +
(1) 20
(2) 45
(3) 15
(4) 65
17) If the temperature of a reaction is increased from 10 °C to 100 °C then how many times rate of
reaction will become?
(1) 28 times
(2) 29 times
(3) 210 times
(4) 211 times
18) The energy of activation for forward and backward change for an endothermic reaction : x → y
are Ef and Eb respectively. Which of the following is correct?
(1) Eb < Ef
(2) Eb > Ef
(3) Eb = Ef
(4) No relation between them
(1) A only
(2) B, C and D only
(3) D only
(4) A, B and C only
20) Assertion : The probability that more than three molecules taking part in a reaction can collide
and react simultaneously is very small.
Reason : For complex reaction, molecularity has no meaning.
(1) Both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
(2) Both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.
(3) Assertion is True but Reason is False.
(4) Both Assertion & Reason are False.
21) The following data were obtained during the first order gaseous reaction at constant volume :
(starting with A only)
2A(g) → 2B(g) + C(g)
1. 0 2
2. 100 2.5
Calculate the rate constant.
(1) 8 × 10–2 s–1
(2) 7.5 × 10–4 s–1
(3) 6.93 × 10–3 s–1
(4) 6.2 × 10–2 s–1
Column-I Column-II
Second
(iii) (R)
order
(iv) (S)
23) If rate constant is numerically the same for the three reactions of first, second and third order
respectively. Assume all the reactions of the kind 'A → products'. Which of the following is correct :
(1)
(2)
(3)
(4)
(1) Be(OH)2
(2) KOH
(3) H3PO4
(4) P4O6
(1) MnO2
(2) As2O3
(3) TiO2
(4) SiO2
–
(1) N (g) → N(g)
–
(2) Be (g) → Be(g)
–
(3) Ne (g) → Ne(g)
(4) None of the above
30) The compound X–O–H is likely to act as a base, if compared to Hydrogen, X has
(1) A, B
(2) A, B, D
(3) A, B, D, E
(4) A, B, C, D, E
(1) b > a
(2) c > d
(3) a > d
(4) b > c
(1)
(2)
(3)
(4)
37) Choose the molecules in which exist in the ground state of central atom
(i) BCl3 (ii) NH3 (iii) PCl3 (iv) BeF2
The correct answer is -
(1) i, ii, iv
(2) i, ii, iii
(3) ii, iii
(4) iii, iv
38) In which of the following pair of compounds pπ-pπ bonds are present?
39) Which of the following combination of orbitals does not from covalent bond (x-axis is
internuclear axis):-
(1) px + dxz
(2) py + py
(3) dxz + dxz
(4) dyz + dyz
(1) XeF2
(2) PCl3F2
(3) PCl5
(4) SF4
Column-I Column-II
(Bond) (Bond energy (kJ/mol))
42) The atomic orbitals used by 'As' atom in the formation of 'AsF5' are :-
(1)
(2) dxy , s, px, py, pz
(3) s, px, py, pz, dz 2
43) In which of the following compound ionic, covalent and coordinate bond is present?
(1) H2SO4
(2) HNO3
(3) CaCO3
(4) KI3
44) Which reaction involves a change in hybridisation in the under lined element ?
– –
(1) BF3 + F → BF4
+ +
(2) NH3 + H → NH4
(3) 2 SO2 + O2 → 2 SO3
+ +
(4) H2O + H → H3O
45) A σ-bonded molecule MX3 is T-shaped. The number of lone pairs of electrons around M is :-
(1) Zero
(2) 2
(3) 1
(4) Unpredictable
BIOLOGY
2) How many pairs of cranial nerves arise from the brain of frog ?
(1) 12 pairs
(2) 10 pairs
(3) 8 pairs
(4) 9 pairs
Column-I Column-II
4) Which one of the following is common in both male and female frog ?
6) Male frog can be distinguished from female frog due to the presence of :-
(1) Presence of vocal sacs and copulatory pad on the first digit of the forelimb.
(2) A neck and tail is absent.
(3) Five digits in hind limbs
(4) Eyes are bulged and covered by the nictitating membrane.
7) The frog is :-
11) In frog, the medulla oblongata passes out through the.....(a).... and continues into .....(b)... (a) and
(b) are respectively-
Kidney is compact, light red and bean shape structures situated a little posteriorly in the body
(1)
cavity on only one sides of vertebral column
Food is captured by the trilobed tongue. Digestion of food takes place by the action of HCl and
(2)
gastric juices secreted from the walls of the stomach
Male frogs can be distinguished by the presence of sound producing vocal sacs and also a
(3)
copulatory pad on the second digit of the fore limbs which are absent in female frogs
They have the ability of change the colour to hide them from their enemies. This protective
(4)
coloration is called mimicry.
13) Match the column-I and column-II and select the correct option.
Column-I Column-II
Sensory
(a) (p) Hearing
Papillae
Nasal
(b) (q) Touch
epithelium
(1) I and II
(2) III and IV
(3) I and IV
(4) All of these
(1) Two
(2) Three
(3) Four
(4) One
16) In the given four statements, select the options which includes all the correct ones :-
(a) Secretory duct is present in endocrine glands and secretes hormones
(b) Mammary glands are exocrine glands
(c) Sweat gland is exocrine gland
(d) Bone has no collagen fibres
Option :-
(1) a, b, c
(2) b, c
(3) a, c, d
(4) b, d
(iii) Mast cell (c) Cart wheel cell (3) Vaso constrictor
(1) A, C & D
(2) B and D
(3) C and D
(4) Only D
Squamous
(1)
epithelium
(1) 1
(2) 2
(3) 3
(4) 4
(1) Columnar
(2) Cuboidal
(3) Flat
(4) Squamous
(1) Vasodialation
(2) Lowering B.P.
(3) Regulation of B.P.
(4) All of these
(1) Epiglottis
(2) Ear pinna
(3) Larynx
(4) Eustachian tube
(1) B = columnar epithelium - for protection and cover the dry surface of the skin
(2) B = squamous epithelium - found in tubular part of nephron
(3) A = squamous epithelium - found in wall of blood vessels
(4) A = cuboidal epithelium - found in air sac of lungs
26) How many of the following has compound epithelium-stomach, Alveoli, Bowman's capsule, inner
lining of buccal cavity, secretory duct of sweat gland.
(1) one
(2) two
(3) three
(4) four
30) The epithelium found in walls of blood vessels and air sacs is :-
31) If the inner lining of cheeks are scratched with forcep, then which type of cells are visible in
microscope ?
(1) Cuboidal
(2) Columnar
(3) Squamous
(4) Ciliated squamous
32)
A B C
Areolar
(1) connective Ligament Tendon
tissue
Areolar
(2) connective Tendon Tendon
tissue
Adipose
(3) connective Tendon Ligament
tissue
Areolar
(4) connective Tendon Ligament
tissue
(1) 1
(2) 2
(3) 3
(4) 4
(1) B, C and D
(2) A, B, C and D
(3) A, B and D
(4) A, B, D and E
34) Identify the type of epithelial tissue shown below as well as the related right place of its
occurrence in our body along with its correct function and select the correct option for the two
together ?
- Found in wall of
blood vessels and air
Simple squamous
(1) sacs of lungs.
Epithelium
- Function-forming a
diffusion boundary
- Found in wall of
Simple cuboidal ducts of gland
(2)
epithelium - Function-diffusion
and excretion
- Found in wall of
nephrones and wall
Simple columnar
(3) of ducts of glands
epithelium
- Function-secretion
and Absorption
- Found in wall of
Simple squamous stomach and intestine
(4)
epithelium - Function-absorption
and secretion
(1) 1
(2) 2
(3) 3
(4) 4
35) In cockroach a ring of 6-8 blind tubules called hepatic or gastric caeca is present at the junction
of :-
(1) Titillator
(2) Phallomeres
(3) Collateral glands
(4) Pseudopenis
(1) Sclerites
(2) wall of gizzard
(3) ventral septum and connect the septum with heart and legs.
(4) tracheal chamber
(1) A, B, C and D
(2) B, C, D and E
(3) A, B and C
(4) A, B and D
42)
In the diagram given below, identify the parts labelled as A, B, C & D and select the right option
about them.
43) Statement-I :- In frog, eyes and internal ears are well organised structures.
Statement-II :- Sensory papillae, taste buds and nasal epithelium are cellular aggregation around
nerve endings.
44) Statement - I : Cockroach eyes consist of several ommatidia. So they receive several images of
an object.
Statement - II : Mosaic vision is present in cockroach with more sensitivity but less resolution.
45) Statement-I : Connective tissue which is found in tendon have fibroblasts present in rows
between many parallel bundles of fibers
Statement-II : In dense regular connect tissue fibers and fibroblasts are oriented differently
Select the correct option –
46)
Multicellular chlorophyll bearing, autotrophic, simple thalloid mostly aquatic organism are placed in
:
(1) Algae
(2) Bryophyta
(3) Pteridophyta
(4) Angiosperm
(1) Unicellular
(2) Green non photosynthetic
(3) Observed in Marchantia
(4) Sexual bud
55) Statement A: Spore producing gametophyte is the main plant body of bryophytes
Statement B: Main plant body of Bryophyta produces spore by the mitosis
56) Study the following diagram carefully and identify the structure which produces spores by
meiosis:
(1) A: Capsule
(2) B: Seta
(3) C: Stem
(4) B: capsule
(1) Selaginella
(2) Salvia
(3) Salvinia
(4) Adiantum
58) The leaves of Pteridophyta are microphylls as in ...a...or macrophylls as in ….b..
(1) Polysiphonia
(2) Chara
(3) Porphyra
(4) Marchantia
62) Few stages of life cycle of moss is given below. Arrange these events in correct order starting
from sex organ bearing structure and select the correct option from option given below
A: Protonema B: Leafy gametophyte
C: Spore formation D: Spore germination
E: Fertilization F: Sporophyte
(1) B → A → C → D → E → F
(2) B → E → D → C → A → F
(3) A → B → E → F → C → D
(4) B → E → F → C → D → A
Column I Column II
A. Cedrus P. Gymnosperm
B. Polytrichum Q. Bryophyta
C. Psilotum R. Pteridophyta
D. Chara S. Algae
(1) A: P; B: Q; C: R; D: S
(2) A: S; B: P; C: R; D: Q
(3) A: Q; B: S; C: R; D: P
(4) A: R; B: Q; C: P; D: S
64) Prothallus is
a. Multicellular
b. Gametophyte
c. Usually heterotrophic
d. Usually dioecious
(1) a and c
(2) a and b
(3) a and d
(4) b and c
(1) Ginkgo
(2) Funaria
(3) Pteris
(4) Polytrichum
(1) Water
(2) Air
(3) Pollen tube
(4) All of the above
68) Which of the following is not associated with naked seed plant?
(1) Marchantia
(2) Funaria
(3) Sphagnum
(4) Pteris
71) Assertion (A) : Cycas is a dioecius plant while Pinus is a monoecius plant
Reason (R) : Male cone and female cone are present on same tree in Pinus while male cone and
female cone is present on different tree in Cycas
72) Study the following table carefully and identify the correct match and select the correct option
from options given below :
(1) Gymnosperms are usually herb and medium to large sized tree
One cell of nucellus modifies in megaspore mother cell and produce megaspore tetrad after
(2)
mitosis
(3) Two or more archegonia is present in female gametophyte present inside the ovule
(4) Male and female gametophyte have their independent existence
74) Match the column I with column II and select the correct option from options given below :
Column I Column II
A. Sphagnum P. Agar-agar
B. Gracillaria Q. Food
(1) Cycas
(2) Cedrus
(3) Gingko
(4) 1 and 3 both
(1) Adiantum
(2) Funaria
(3) Fucus
(4) Gracillaria
(1) Archegonia
(2) Endopserm
(3) Microsporangia
(4) Megasporangia
(1) Zoospore
(2) Aplanospore
(3) Zygote
(4) Antherozoid
(1) Bryophyta
(2) Bryophyta and Pteridophyta
(3) Bryophyta, Pteridophyta and Gymnosperm
(4) Pteridophyta, Gymnosperm and Angiosperm
(1) Bryophyta
(2) Pteridophyta
(3) Gymnosperm
(4) Algae
87) Antheridium and archegonium in Bryophyta and Pteridophyta are present on:
(1) Eight
(2) Seven
(3) Nine
(4) Four
89) The female gametophytes are retained on parental sporophyte for variable time period in :
(1) Equisetum
(2) Marchantia
(3) Selaginella
(4) Chara
(1) Cycas
(2) Pinus
(3) Cedrus
(4) Gingko
ANSWER KEYS
PHYSICS
Q. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
A. 2 1 1 1 3 3 3 3 4 2 4 3 4 1 1 3 1 1 1 2
Q. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
A. 4 4 2 4 2 1 2 2 4 3 1 1 1 4 2 2 3 2 2 2
Q. 41 42 43 44 45
A. 1 1 3 1 3
CHEMISTRY
Q. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65
A. 1 2 2 3 2 1 2 1 4 2 1 2 3 2 3 2 2 1 1 2
Q. 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
A. 3 3 4 2 3 2 4 3 2 2 4 1 4 2 1 3 3 3 1 1
Q. 86 87 88 89 90
A. 3 3 4 1 2
BIOLOGY
Q. 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110
A. 1 2 3 3 4 1 1 2 2 2 3 4 1 4 4 2 1 3 1 3
Q. 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
A. 2 4 3 3 3 2 2 4 2 2 3 4 2 1 3 3 3 1 1 1
Q. 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150
A. 3 3 4 4 1 1 3 3 1 2 1 3 2 3 1 1 3 3 2 4
Q. 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170
A. 1 4 1 2 1 3 4 1 2 1 2 4 3 2 3 2 3 1 4 4
Q. 171 172 173 174 175 176 177 178 179 180
A. 1 1 2 4 2 2 3 1 3 1
SOLUTIONS
PHYSICS
1) For A & B
20 – T = 2a
T – 8 = 2a
⇒ a = 3 m/s2
For C f1 = 8N
f1 – f2 = ma1 f2 = 4N
8 – 4 = 2a1
⇒ a1 = 2 m/s2
2) , θ = 45°
= ⇒ µ = 0.5
Hence option (1)
Since 90 N > 50N, net unbalanced forces appear and hence movement begins.
Step 2: Assuming that both the blocks move together, their combined acceleration is
Draw the FBD of block A (on which externally applied force does not act).
The force required is f1 = mAaC = 10 × 1.6 = 16 N
5) ma = μsmg
μs = 0.5
6) If man slides down with some acceleration then its apparent weight decreases. For critical
condition rope can bear only 2/3 of his weight. If a is the minimum acceleration then, Tension
in the rope = m(g – a) = Breaking strength
⇒ m(g – a) = mg ⇒ a = g –
8) 1. Question Explanation
A block is subjected to frictional force when an external force is applied. Given different values
for friction force, we need to determine the correct force acting on the block
2. Concept-Based
The problem is based on frictional force, which opposes motion. The friction force is given by
Friction = Normal Force x Coefficient of Friction (static or kinetic, depending on motion).
3. Formula Used:
Where: Ff = Friction force =Coefficient of friction N = Normal force (mg) for a horizontal
surface 4. Calculation:
N = 6g = 60N
So limiting friction Ff = s N = 0.6 x 60 = 36
∵ Applied force is less than limiting f, so block will not move and friction will equal to applied
force
so, f = 24 N
Correct answer (3)
9)
10)
N = 5g + = 70
fℓ = μN = 0.5 × 70 = 35 N
as
thus the block remains at rest.
11)
NA sin 60° = NBsin30°
NA . = NB
12)
6g – T = 6a ...(i)
T = 4a ...(ii)
∴ 6g = (6 + 4)a
∴a=
13) a =
14)
15)
∴ Displacement = 10 m, North
16)
∵ 2πr × N = v × t
∴ 2π × 5 × N = 7π × 5
∴ N = 3.5 rev.
So,
17)
18)
4t – 8 + 4t = 0
t = 1 sec
19) x = 9t2 – t3
Position when maximum speed means acceleration is zero.
V= = 18t – 3t2
a= = 18 – 6t
For a = 0, 18 – 6t = 0, t = 3
At t = 3 s speed is maximum
then position x = 9 × 32 – 33 = 54 m
20)
x = t2 - 3t + 4
for rest
V=0
2t - 3 = 0
t = 3/2 sec
∴ s = (15)(0.4) + = 28.5 m
22)
v = u + at
0 = 50 – 25 t
t = 2 sec
∴ d = = 100 m
23)
T = 65°C
24) Explanation :
We need to determine the ratio of heat flow IA / IB for two rods with thermal conductivities in
the ratio 1:2 in the following configurations:
● Configuration A: The rods are in series (Rod of conductivity K and rod of conductivity 2 K).
● Configuration B: The rods are in parallel (Rod of conductivity K and rod of conductivity 2 K).
Concept
Based on Thermal Conductivity in Series and Parallel Heat Flow
Formula Used
● For series connection
Calculation
● For series configuration A :
● For parallel configuration B :
Alternative solution:
⇒
For two rods (dimensions being same)
If RA = R,
In first combination
In second combination
⇒ Req2 =
Heat flow
Heat flow
25) ⇒
80 =
T2 = – 10°C
26)
∴
27) Q = σAT4t
Q ∝ R2T4
28)
4 = K(70) ...(1)
and
or
= 42 sec.
29) E = σT4
30) PV = μRT
V & T are constant
= constant
µ2 =
= 20 × 103 gm = 20 kg
31)
y = mx
Slope ∝ T
m1 > m2 ⇒ T1 > T2
32) Vr.m.s. ∝
v2 = 2v1
33) E ∝ T(k)
T = 410 k
= 137º
=
= 500 R
37) First of all, the air is compressed adiabatically, it is represented by curve ab in the figure.
bc represents the isothermal expansion to its original volume. It is to be noted that the
adiabatic curve is steeper than the isothermal curve.
40)
y = a sin(2ω∈)
= 2ω
SHM
41)
42) y1 = 6 cos
A1 = 6 & ω1 = 6π
y2 = 3
⇒ A2 = 6 & ω2 = 3π
CHEMISTRY
46)
6 × 10–3 × 6 = (5 – n) × 9 × 10–3
47)
49)
V = 100 ML
52) n = [1 + 5 × 2]
Eq. weight of
56) Explaining : The activation energy for forward reaction is asked when the overall
enthalpy change and activation energy of reverse reaction is given.
Concept : This Question is based on Collision theory.
Solution : ΔH = 100 KJ/mol Ea(f) = ?
Ea(b) = 200 KJ/mol
Ea(f) – Ea(b) = ΔH
Ea(f) = 100 + 200
= 300 KJ/mol
Final Answer : (1)
57) Asking :
Rate of disapperance
Concept :
Rate law exp.
Solution :
RB = =
or
RC = 2RB = 2 × 4 = 8 mm/min
59)
60)
⇒
61)
ΔH = Ep – ER = y
So y = +45 kJ/mol
62)
= 29 times
64) (B) Area under the curve for the plot of fraction of molecules versus kinetic energy of gas
molecules remains the same with temperature.
(C) In the Arrhenius equation the factor e–Ea/RT corresponds to fraction of molecules that have
kinetic energy greater than activation energy.
(D) Activation energy of reaction does not depends upon temperature.
65)
Reason is correct because molecularity is defined only for simple reaction but not explained
assertion.
66)
2A → 2B + C
t=0 2atm 0 0
t = 100s 2–2x 2x x
total pressure = 2–2x + 2x + x
2.5 = 2+x
x = 0.5 atm
= 0.693 × 10–2
k = 6.93 × 10–3 s–1
67) A: Question Explanation
Match kinetics graphs/formulas with the correct order or equation.
B: Concept
Order of reaction and Arrhenius equation
C: Reasoning
(i) t₁/₂ vs 1/a: For a second-order reaction, t₁/₂ = 1/(k·a), where a is the initial concentration.
This shows that t₁/₂ is directly proportional to 1/a, matching the linear graph through the
origin. So, (i) matches with (R)
(ii) Rate ∝ [A]¹) is the definition of a first-order reaction. So, (ii) matches with (Q)
(iii) [A] vs t: The integrated rate law for a zero-order reaction is [A] = -kt + [A]º. This is the
equation of a straight line (y = mx + c) for a plot of [A] vs. t with a negative slope (-k). So,
(iii) matches with (P)(iv) K vs T: The graph shows that the rate constant (K) increases
exponentially as temperature (T) increases. This relationship is described by the Arrhenius
equation, K = Ae(-Ea/RT). So, (iv) matches with (S).
D: Final Answer
(i) → R, (ii) → Q, (iii) → P, (iv) → S
⇒ Option 3
1
68) r1 = K[A]
r2 = K[A]2
r3 = [A]3
CASE-1 [A] = 1 CASE-2 [A] < 1 CASE-3 [A] > 1
r1 = r2 = r3 r3 < r2 < r1 r3 > r2 > r1
69)
NCERT Pg No # 82
Catalyst use only for spontaneous reaction
70)
71)
72)
SeO2 → acidic
73)
In process Ne– → Ne
maximum energy is absorbed
74) Valency of W = 3, Valency of X = 2
77)
78)
80)
81) Explanation -
The question asks which of the given compounds (PCl5, SF6, BF3, ClF3) are hypervalent,
meaning they have more than an octet of electrons.
Concept - (Octet Rule)
Hypervalent compounds exceed the octet rule, having more than eight electrons around the
central atom. PCl5, SF6, and ClF3 all exhibit this characteristic. BF3, conversely, is hypovalent,
possessing fewer than eight electrons. Therefore, the hypervalent compounds are (i) PCl5, (ii)
SF6, and (iv) ClF3.
Final Answer : (3)
82)
83)
Explanation
A. Isostructural compounds have the same shape and arrangement of atoms (same
molecular geometry), regardless of the elements involved. This is determined by the
number of bond pairs and lone pairs of electrons around the central atom (VSEPR
theory).
Concept
A. CO₂: Central C has 2 bond pairs and 0 lone pairs → Linear shape.
B. SO₂: Central S has 2 bond pairs and 1 lone pair → Bent (V-shaped) shape.
C. Not isostructural.
A. SiF₄: Central Si has 4 bond pairs and 0 lone pairs → Tetrahedral shape.
B. SF₄: Central S has 4 bond pairs and 1 lone pair → See-saw shape (distorted
tetrahedron).
C. Not isostructural.
A. XeF₂: Central Xe has 2 bond pairs and 3 lone pairs → Linear shape.
B. I₃⁻: Central I has 2 bond pairs and 3 lone pairs → Linear shape.
C. Isostructural.
A. SF₆: Central S has 6 bond pairs and 0 lone pairs → Octahedral shape.
B. XeF₆: Central Xe has 6 bond pairs and 1 lone pair → Distorted octahedral (or
capped octahedron) shape.
C. Not isostructural.
Answer option 3, (XeF₂ and I₃⁻).
84) Explanation
● Covalent bonds form by the overlap of atomic orbitals. For a sigma (σ) bond, the overlap is
along the internuclear axis. For a pi (π) bond, the overlap is perpendicular to the internuclear
axis.
Concept
● s + py: The s orbital is spherical. The py orbital has lobes along the y-axis. With the x-axis as
the internuclear axis, there will be no net overlap leading to bond formation. The positive and
negative overlaps will cancel out.
● py + py: With the x-axis as the internuclear axis, the py orbitals will overlap sideways,
forming a pi (π) bond.
● dxz + dxz: With the x-axis as the internuclear axis, the dxz orbitals can overlap sideways,
forming a pi (π) bond.
● px + px: With the x-axis as the internuclear axis, the px orbitals will overlap head-on,
forming a sigma (σ) bond.
Answer option 1, (s + py).
87)
88)
90)
MX3 - T shape
(3σ + 2ℓp)
sp3d
BIOLOGY
92) 10 pairs of cranial nerves emerge, each serving specific sensory and motor functions.
These nerves are responsible for various activities like vision, hearing, taste, smell, and muscle
control.ans-2
93)
NCERT Pg#80,81
94) Cloaca: The cloaca is a single opening used for excretion, reproduction, and elimination of
waste in both males and females.ans-3
96)
97)
98)
100)
101)
102)
103)
104)
109)
111)
112)
113)
115)
118)
119) The correct answer is 2. modified white fibrous connective tissue. • Tendons:
These are tough, rope-like structures that connect muscles to bones. • Composition:
Tendons are primarily composed of dense regular connective tissue, which is a type of white
fibrous connective tissue. This tissue is characterized by a high density of collagen fibers
arranged in parallel bundles, providing great tensile strength in the direction of the fibers.
120)
121)
122) • Tissue A: This tissue is located beneath the skin and appears to be areolar connective
tissue.
• Tissue B: This tissue connects muscle to bone. This is a defining characteristic of a tendon.
• Tissue C: This tissue connects bone to bone. This is a defining characteristic of a ligament.
Therefore, the correct answer is Option 4
123)
124)
125)
128)
131)
135)
NCERT Pg # 103
136) NCERT XI PAGE 24
141) NCERT XI 29
146) NCERT XI 28
147) NCERT XI 32
150) NCERT XI 29
152) NCERT XI Pg 30
156) NCERT XI 33
158) NCERTXI 33
161) NCERT-XI, Pg # 33
165) NCERT XI 23
166) NCERT XI 30
168) NCERT XI 32
169) NCERT XI 28
170) NCERT XI 33
173) NCERT XI 26
174) NCERT XI 31,33,34
176) NCERT XI 32
179) NCERT XI 32
180) NCERT XI 32