Solution
Solution
1950CMD303021250046 MD
PHYSICS
(1) 1µF
(2) 10 µF
(3) 50 µF
(4) 1.5
2) Three capacitors are connected as shown in fig. Then the charge on capacitor C1 is :-
(1) 6μC
(2) 12μC
(3) 18μC
(4) 24μC
3) Three dielectric are filled in a parallal plate capacitor as shown. What should be the net
capacitance –
(1)
(2)
(3)
(4)
4) A parallel plate capacitor has two layers of dielectric as shown in figure. This capacitor is
connected across a battery. The graph which shows the variation of electric field (E) & distance (x)
from left plate.
(1)
(2)
(3)
(4)
5) There are 50 turns of a wire in every cm length of a long solenoid. If 4 ampere current is flowing
in the solenoid, the approximate value of magnetic field along its axis at an internal point and at one
end will be respectively
6) Find the additional charge that flows from battery if the space between the plate is filled with
dielectric (see figure) :-
(1) 150 μC
(2) 300 μC
(3) 250 μC
(4) 100 μC
7) Find out equivalent capacitance between A and B if each capacitor has capacitance ‘C’.
(1)
(2)
(3)
(4) None
8) Two uncharged capacitors are charged with a battery of E volt. by shifting key from 1 to 2. The
(1) 1 : 2
(2) 2 : 1
(3) 4 : 1
(4) 1 : 1
9) Three identical capacitors are given a charge Q each and they are then allowed to discharge
through resistance R1, R2 and R3. Their charges as a function of time shown in the graph below. The
smallest of the three resistance is :-
(1) R3
(2) R2
(3) R1
(4) Cannot be predicted
10) The figure gives the electric potential V as a function of distance through five regions on x-axis.
Which of the following is true for the electric field E in these regions :-
11)
(1)
(2)
(3)
(4)
12) Two coaxial solenoids 1 and 2 of the same length are set so that one is inside the other. The
number of turns per unit length are n1 and n2. The current i1 and i2 are flowing in opposite directions.
The magnetic field inside the inner coil is zero. This is possible when :-
(1) i1 ≠ i2 and n1 = n2
(2) i1 = i2 and n1 ≠ n2
(3) i1 = i2 and n1 = n2
(4) None of these
13) Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out
of the plane of the paper as shown. The variation of magnetic field B along the line XX' is given by :
(1)
(2)
(3)
(4)
14) Current I is flowing in conductor shaped as shown in the figure. The radius of the curved part is
r and the length of straight portion is very large. The value of the magnetic field at the centre O will
be :
(1)
(2)
(3)
(4)
15) A long thin hollow metallic cylinder of radius 'R' has a current i ampere. The magnetic induction
'B'-away from the axis at a distance r from the axis varies as shown in
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
(1) [MLT–2A–1]
(2) [MT–2A–1]
(3) [ML2TA–2]
(4) [M2T–2A–1]
18) A uniform wire is bent in the form of a circle of radius R. A current I enters at A and leaves at C
as shown in the figure : If the length ABC is half of the length ADC, the magnetic field at the centre
O will be :-
(1) Zero
(2)
(3)
(4)
(1)
(2)
(3)
(4)
20) In the toroid, the number of tums per metre length is 500 and current through it is .
Mangetic field product inside (in weber/ } will be
(1)
(2)
(3)
(4)
21) A charged particle enters a magnetic field at right angles to the magnetic field. The field exists
for a lenght equal to 1.5 times the radius of the circular path of the particle. The particle will be
(1) 90°
(2)
(3) 30°
(4) 180°
22) Find the position of point from wire 'B' where net magnetic field is zero due to following current
distribution
(1)
(2)
(3)
(4)
23) A and B are two concentric circular conductors of center O and carrying currents i1 and i2 as
shown. If ratio of r1 : r2 is 1: 2 and ratio of flux densities at O due to A and B is 1 : 3, then the ratio of
i1 : i2 is
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
26) A point charge q is place at rest near current carring wire then -
(1)
(2)
(3)
(4)
28) Two wires with currents 2 A & 1 A are enclosed in circular loop. Another wire with current 3 A is
(1) μ0
(2) 3μ0
(3) 6μ0
(4) 2μ0
29) Rank the value of for the closed paths shown in figure from the smallest to largest.
(1) a, b, c, d
(2) a, c, d, b
(3) a, d, c, b
(4) a, c, b, d
30) Two identical long conducting wires AOB and COD are placed at right angle to each other, with
one above other such that ‘O’ is their common point for the two. The wires carry I1 and I2
currents respectively. Point ‘P’ is lying at distance ‘d’ from ‘O’ along a direction perpendicular to the
plane containing the wires. The magnetic field at the
point ‘P’ will be :-
(1)
(2)
(3)
(4)
Column-I Column-II
Magnetic field inside a
(A) (p) Not constant
long straight solenoid is
Magnetic field inside a
(B) (q) ZERO
toroidal solenoid is
Magnetic field inside a
conducting hollow pipe
(C) (r) Constant
having current parallel to
its axis
Magnetic field due to
(D) current carrying wire on (s) Maximum
its surface is
(1) A→p, B→s, C→q, D→r
(2) A→s, B→r, C→q,s, D→p
(3) A→r, B→p, C→s, D→(q,r)
(4) A→r, B→p, C→(q,r), D→s
32) A toroid with mean radius r0, diameter 2a has N turns carrying current I. What is the magnetic
field B outside the toroid :-
(1)
(2)
(3)
(4) Zero
33) A charge having q/m equal to 108 C/kg and with velocity 3 × 105 m/s enters into a uniform
magnetic field B = 0.3 tesla at an angle 30° with direction of field. Then radius of curvature will be:-
(1) 0.01 cm
(2) 0.5 cm
(3) 1 cm
(4) 2 cm
34) A 2C charge of mass 50g, is moving in a magnetic field with velocity . Find
out pitch of its path :-
(1) π × 10–2 m
(2) 10–2 m
(3) 2π × 10–2 m
(4) π cm
35) A positive change particle of mass m and change q is projected with velocity v as shown. If
radius of change particle is greater than d then find the time spent by the change particle in
magnetic field.
(1)
(2)
(3)
(4)
36) A rod of length L and mass M0 is bent to form a semicircular ring as shown. The M.I. about X'X is
:-
(1)
(2)
(3)
(4)
37) Three-point masses, each m, are placed at the vertices of an equilateral triangle of side 'a'
moment of inertia of the system about the axis COD which passes through the mass at O and lies in
(1) ma2
(2)
(3)
(4)
38) One quarter section is cut from a uniform circular disc of radius R. This section has a mass M. It
is made to rotate about a line perpendicular to its plane and passing through the centre of the
original disc. It moment of inertia about the axis of rotation is
(1)
(2)
(3)
(4)
39) M.I. of uniform solid sphere about axis passing through center.
(1)
(2)
(3)
(4)
40) Two spheres of same mass and radius are in contact with each other. If the moment of inertia of
a sphere about its diameter is I, then the moment of inertia of both the spheres about the tangent at
their common point would be
(1) 3I
(2) 7I
(3) 4I
(4) 5I
41) The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing
(1) I1 + I2
(2) I2 + I3
(3) I1 + I3
(4) All of the above
42) Four solid rigid balls each of mass m and radius r are fixed on a rigid-ring of radius 2r and mass
2m. The system is whirled about ‘O’ as shown. The radius of gyration of the system is :-
(1)
r
(2)
(3)
(4)
43) A thin uniform disc has mass 9m and radius R. A hole of radius R/3 is cut from it as shown in the
figure. The moment of inertia of the remaining part about an axis passing through the centre O of
(1) 8mR2
(2) 4mR2
(3)
(4)
44) Four similar point masses (each of mass m) are placed on the circumference of a disc of mass M
and radius R. The M.I. of the system about normal axis through the centre O will be -
(2)
MR2 + 4mR2
(3)
MR2 + mR2
(4) None of these
45) Four thin rods of same mass M and same length ℓ form a square as shown in figure. Moment of
inertia of this system about an axis through centre O and perpendicular to its plane is :-
(1)
Mℓ2
(2)
(3)
(4)
Mℓ2
CHEMISTRY
1) Given:
The potential for the cell
cr | cr3+ (0.1 M) || Fe2+ (0.01 M) | Fe, is:
(1) 0.339V
(2) –0.339V
(3) –0.26V
(4) 0.26V
(1) C2 > C1
(2) C1 > C2
(3) C1 = C2
(4) unpredictable
(1) –1.20V
(2) +1.20V
(3) +0.32V
(4) –0.32V
4) Standard emf of 0.59 V of galvanic cell in which 3 mole electron taking part in redox reaction. So
for such reaction find out value of equilibrium constant ?
(1) 1025
(2) 1020
(3) 1015
(4) 1030
(1) 0.59 V
(2) 0.00 V
(3) –0.59 V
(4) –0.059 V
6) Standard electrode potential of three metals x, y and z are –1.2 V, +0.5 V and –3.0 V. The order of
reducing agent of three metals are….
7) The molar conductances of and CH3COONa at infinite dilution are 126.45, 426.16 and
respectively. The molar conductance of CH3COOH at infinite dilution is
(1)
(2)
(3)
(4)
8) What happens to the voltage in a galvanic cell when the salt bridge is removed?
(1) Increases
(2) Decreases
(3) Remains same
(4) Firstly increases and then decreases
(1) An increase in pH
(2) A decrease in pH
(3) Either decrease or increase
(4) None
(1) < 1
(2) 0
(3) = 0
(4) > 1
13) The variation of equivalent conductance of strong electrolyte with concentration is correctly
shown in which figure?
(1)
(2)
(3)
(4)
14) A cell, with cell constant 0.4 cm–1 has the resistance of 40 ohm of a 0.01 M solution of an
electrolyte. Then the molar conductivity in ohm–1 cm2 mol–1 will be :
(1) 104
(2) 103
(3) 102
(4) 101
+ –
(1) velocity of K is greater than that of NO 3
– +
(2) velocity of NO 3 is greater than that of K
+ –
(3) velocity of both K and NO 3 are nearly the same
(4) KNO3 is highly soluble in water
, , ,
(1) is the strongest oxidizing agent and Mg is the strongest reducing agent.
4+
(2) Sn + 2I– → Sn2+ + I2 is a spontaneous reaction
(3) Mg2+ + Sn2+ → Mg + Sn4+ is a spontaneous reaction
(4) Here, weakest oxidizing agent is Sn4+ and weakest reducing agent is Mn2+
18) The standard EMF of Daniel cell is 1.10 volt. The maximum electrical work obtained from the
Daniel cell is :
(1) 212.3 kJ
(2) 175.4 kJ
(3) 106.15 kJ
(4) 53.07 kJ
(1) I and II
(2) I and III
(3) I and IV
(4) II and IV
(1) E1 = E2
(2) E2 = O ≠ E1
(3) E1 > E2
(4) E1 < E2
(1)
(2)
(3)
(4)
23) If the standard reduction potential, Eo for four divalent elements, X, Y, Z, W are –1.46V, –0.36 V,
–0.15 V and –1.24 V respectively, then:
24) Which of the following will increase the voltage of the cell :-
Sn(s) + 2Ag+(aq) Sn2+ (aq) + 2 Ag (s)-
(1) –0.414 V
(2) 0.828 V
(3) 0.414 V
(4) 0.0414 V
26)
(1)
(2)
(3) CH3–NH–CHO
(4)
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4) CH3–CH=CH–CH3
(1) a
(2) b
(3) c
(4) d
(1)
(2)
(3)
(4)
33) Out of the following series, the one containing only electrophiles is :
(1)
(2)
(3)
(1)
both
(2)
both
(3)
and
(4)
and
35) ;
Y is :-
(1)
(2)
(3)
(4)
products
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4) None
39) P, [Major] P is :-
(1)
(2)
(1) 1,6-Dimethylcyclohexene
(2) 1,2-Dimethylcyclohex-2-ene
(3) 1,2-Dimethylcyclohex-2-ene
(4) 2,3-Dimethylcyclohexene
41)
IUPAC name of is :-
42) How many carbon atoms are present in principle carbon chain of following compound ?
(1) 4
(2) 6
(3) 5
(4) 7
Column-
Column-II
I
Column-I Column-II
45) Given :
E°(Cu2+/Cu) = 0.337 V and E°(Sn2+/Sn) = –0.136 V.
Which of the following statements is correct ?
2+
(1) Cu ions can be reduced by H2(g)
(2) Cu can be oxidized by H+
2+
(3) Sn ions can be reduced by H2 (g)
(4) Cu can reduce Sn+2
BIOLOGY
1)
Which of the following pedigree depicts unaffected parents with affected male child?
(1)
(2)
(3)
(4)
2)
Given pedigree chart represent autosomal recessive disease. What is the probability of 5th child
inheriting this disease :-
(1) 25%
(2) 75%
(3) 50%
(4) 100%
3) A colour blind girl is rare because she will be born only when :
(1) Her mother and maternal grand father were colour blind
(2) Her father and maternal grand father were colour blind
(3) Her mother is colour blind and father has normal vision
(4) Parents have normal vision but grand parents were colour blind
5) In a certain taxon of insects, some have 17 chromosomes and the others have 18 chromosome.
The 17 and 18 chromosome-bearing organisms are
6)
The inheritance pattern of a gene over generations among humans is studied by the pedigree
analysis. Character studied in the pedigree analysis is equivalent to
Column-I Column-II
Klinefelter's
C (iii) Few feminine characters
syndrome
8) Refer to the given figure which is followed by few statements. Choose the incorrect statement
9) Which one of the following symbols and its representation, used in human pedigree analysis is
correct?
(1)
= unaffected female
(2)
= male affected
(3)
= mating between relatives
(4)
= unaffected male
(1) Gynaecomastia
(2) Broad Palm
(3) Presence of Barr body
(4) Rudimentary ovaries
12) Drones do not have (i) and thus cannot have (ii) , but have a (iii) , and can have (iv) ,
The correct words for (i), (ii), (iii) and (iv) respectively are
13) A couple has four daughter's, the probability of fifth child being son is
(1) 50 %
(2) 25%
(3) 75%
(4) 100%
15) Choose the correct option with respect to ploidy and chromosomal number of male honey bees ?
(1) 2n = 32
(2) n = 32
(3) n = 16
(4) 2n = 16
16) The weight of fruit in a plant is determined by the number of dominant alleles of a certain
number of genes. If seven weight categories are noticed, how many gene sites would be involved?
(1) Two
(2) Three
(3) Four
(4) Five
(1) If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
(2) If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.
(3) If Assertion is True but the Reason is False.
(4) If both Assertion & Reason are False.
18) If both parents are affected by thalassemia, what are the chances of pregnancy resulting in
a normal child?
(1) 25%
(2) 75%
(3) 100%
(4) 0%
19) Blue eye colour is recessive to brown eye colour in human. The expected children of a marriage
between a blue-eyed woman and a brown eyed man who had a blue-eyed mother will be-
20) If parents are carrier for albinism, then what will be the possibility in the children?
21) Which of the following pedigrees is not possible for autosomal dominant disease?
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
(1) 1/4
(2) 1/2
(3) 1/16
(4) 1/8
27) Which of the following disease is not applicable for pedigree analysis:-
28) Which of the following statement is correct about the diagram given below:-
(1) A & D
(2) A & B
(3) B & D
(4) C & D
(1) Four
(2) One
(3) Two
(4) Three
36) Read the following statements and find out correct statements.
(I) Bulliform cells are found in dorsiventral leaves and help in photosynthesis.
(II) Bulliform cells in isobilateral leaves help in minimizing water loss.
38) Which of the following is not correct statement about the dicotyledonous stem?
41) Read the given statements and give the answer from the options which include only the correct
combinations.
(A) Both monocot and dicot roots have casparian strips.
(B) In stems both collateral open and collateral closed conditions may be present
(C) Bulliform cell may be present in both monocot stem and monocot roots
(D) Vascular cambium and cork cambium both are secondary meristems.
(1) A, C, D
(2) A, B, D
(3) A, B, C
(4) A, B, C and D
42) In dorsiventral leaf, what is true regarding the number of stomata?
43)
(1) a, c, d and e
(2) a, b, c, d and e
(3) b, c, d and e
(4) a, b, d and e
45) Statement-I :- In dicotyledonous stem (eg. sunflower stem), pericycle is present on the inner
side of endodermis located just overhead to phloem bundles in the form of semilunar patches of
sclerenchyma
Statement-II :- In conjoint vascular bundles phloem usually located on the exterior to xylem.
46) Forecoming generations are less adaptive than their parental generation due to :-
47) Darwin in his 'Natural Selection Theory' did not believe in any role of which one of the following
in organic evolution :-
48)
49)
50)
51)
52)
Which type of selection is industrial melanism observed in moth, Biston betularia?
(1) Stabilising
(2) Directional
(3) Disruptive
(4) Artificial
53)
55) Which of the following statements is /are correct regarding special creation theory.
(1) The first cellular form of life did not possibly originate till about 2000 million years ago
(2) All living species or types of organisms that we see today were created as such
(3) Existing living forms share similarities to varying degrees among themselves
(4) The first form of life arose slowly through evolutionary forces from non-living molecules
(1) Two
(2) One
(3) Four
(4) Three
59) The original birds were_____, from which the various Darwin's finches arose:
(1) Insectivorous
(2) Cactus eating
(3) Carnivores
(4) Seed eating
61) An isolated population with equal number of blue-eyed and brown-eyed individuals was
decimated by earthquake only a few brown-eyed individuals survived to form next generation. The
change in gene pool is:
62) Statement-I : Crocodiles, Birds and Dinosaurs have common ancestor i.e. Thecodonts.
Statement-II : Turtles, Lizards, Snakes and Tuataras have common ancestor i.e Sauropsids.
64)
A & B is :-
65) Which of the following is the correct sequence of events depicting Darwin's theory for evolution?
I. Natural selection
II. Struggle for existence
III. Variations
IV. Overproduction.
(1) I – II – III – IV
(2) IV – II – III – I
(3) IV – I – II – III
(4) II – III – IV – I
66) Which plants were present but they all fell to form coal deposits slowly-
(1) Monocots
(2) Gymnosperms
(3) Giant ferns
(4) Dicots
67) Hugo de Vries mutations are A while Darwinian variations are B . Options
68) Which of the following evidences does not favour the Lamarckian concept ?
70) The diagrammatic representation of operation of natural selection is shown. Which of the
following option indicates 'directional selection' ?
(1)
(2)
(3)
(4)
Column-A Column-B
A. Invertebrates formed i. 65 MYA
B. Jawless fish evolved ii. 200 MYA
C. Dinosaurs disappeared iii. 500 MYA
D. Ichthyosaurs evolved iv. 350 MYA
(1) A-iii, B-iv, C-ii, D-i
(2) A-iii, B-iv, C-i, D-ii
(3) A-iv, B-i, C-ii, D-iii
(4) A-iv, B-iii, C-i, D-ii
(1) Lymphatics
(2) Portal vein
(3) Thoracic duct
(4) Lacteals
74) When heart muscles are suddenly damaged by an inadequate blood supply, this condition called
as:
77) Match the excretory functions of section I with the part of the excretory system in section II.
Choose the correct combination from among the option given :-
Section-I Section - II
(Function) (Parts of excretory systems)
(1) Glucosuria
(2) Proteinuria
(3) Ketonuria
(4) Glucosuria and ketonuria (both)
(1) Actin
(2) Myosin
(3) Troponin
(4) Tropomyosin
84) Match column-I with column-II and choose the correct answer from the options given below :-
Column-I Column-II
85) Read the following statements and find out the incorrect statement.
a. The CNS is the site of information processing and control.
b. The somatic neural system relays impulses from the CNS to the involuntary organs and smooth
muscles of the body.
c. The autonomic neural system transmits impulses from the CNS to skeletal muscles.
d. The autonomic neural system is further classified into sympathetic and parasympathetic neural
system.
(1) a and b
(2) b and c
(3) c and d
(4) a and d
87) In the presence of Ca2+ channel blockers, which of the following will be true ?
(1) Neurotransmitter is released but Na+ channel of post-synaptic neuron will not open
(2) Neurotransmitter is not released but Na+ channel of post-synaptic neuron will open up
(3) Neurotransmitter is released but K+ channel of post-synaptic neuron open up
(4) Neither neurotransmitter is released nor the Na+ channel of post-synaptic neuron open up
88)
(1) Prolactin
(2) FSH
(3) LH
(4) GH
90) Which hormone act on both pancreas and gall bladder and stimulate secretion of pancreatic
enzymes and bile juice :-
(1) Gastrin
(2) Cholecystokinin
(3) Gastric inhibitory peptide (GIP)
(4) Duocrinin
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. 1 1 3 1 3 1 1 2 3 2 3 3 1 1 1 2 2 1 2 2
Q. 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
A. 4 3 1 2 3 3 1 1 2 4 4 4 2 3 3 1 4 1 2 2
Q. 41 42 43 44 45
A. 4 3 2 2 1
CHEMISTRY
Q. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65
A. 4 2 3 4 3 3 4 1 3 1 2 4 2 2 3 3 1 1 3 1
Q. 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
A. 3 1 4 2 4 2 2 3 3 4 2 3 3 3 3 3 2 2 2 1
Q. 86 87 88 89 90
A. 4 2 3 3 1
BIOLOGY
Q. 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110
A. 4 1 2 3 1 2 4 1 3 4 3 4 1 2 3 2 1 4 4 1
Q. 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
A. 1 1 2 2 3 2 4 3 3 3 2 2 1 1 4 2 1 2 1 3
Q. 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150
A. 2 2 1 2 1 2 4 3 2 2 4 2 2 4 2 2 3 3 4 2
Q. 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170
A. 3 1 3 4 2 3 3 3 2 3 2 3 4 2 4 3 1 4 3 4
Q. 171 172 173 174 175 176 177 178 179 180
A. 1 2 2 1 2 4 4 1 3 2
SOLUTIONS
PHYSICS
1)
Concept :
Combine capacitors using series and parallel rules, and simplify the circuit systematically to
find net capacitance between two terminals.
Formula
• Series:
• Parallel:
Calculation:
The given circuit can be redraws as follows
On further solving the network in similar manner equivalent capacitance obtained between A
and B will be 1μF.
Answer Option -1
2)
2(6 – x) + 4 (0 – x) + 2 (6 – x) = 0
12 – 2x – 4x + 12 – 2x = 0
24 = 8x ∴ x = 3V
∴ qC1 = 2 (6 – 3) = 6 μC
3)
Ans is -
4)
Ans -
6)
Ans - 150 μC
7)
8)
9) Slope
0
At t =0, Slope = i =
Q Slope 1 > Slope2 > Slope3
∴ R1 < R2 < R3
concept:
Magnetic field due to current elements Biot-savart law.
Formula:
Calculation:
The straight segment along the z-axis contributes a magnetic field in directions
Final answer: 3
12) Explanation :
Two coaxial solenoids have same length & different turn densities n1 & n2. They carry currents
i, & i2 opposite directions and the MF inside the inner solenoid is zero. We need to determine
this condition.
Concept :
Superposition of magnetic fields and the magnetic field due to solenoid.
Formula :
Bsolenoid = Honi
Calculation :
For net B = O
B1 → MF due to one solenoid B1 = H0 n1 i1
B2 → MF due to other solenoid B2 = H0 n2 i2
Net B1 – B2 = 0
H0n1i1 – H0n2i2 =
n1i1 = n2 i2
Now we check each option
Option (3)
13)
Towards left of both wires direction of B is downward and at mid point between two wires,
magnetic field is zero.
...(iii)
15) Magnetic field inside the hollow metallic cylinder and magnetic field outside it
16)
17)
Ans - [MT–2A–1]
18)
Zero
19) 1. Problem Explanation: Find the magnetic field at point O due to the straight wire PQ.
2. Concept Used: Biot-Savart Law (for a finite wire).
3. Formulas Used:
We use the absolute value here because direction doesn't matter for the multiple-choice
options, and we've already oriented our angles.
Where:
• μ0 is the permeability of free space
• I is the current
• r is the perpendicular distance from point O to the wire
• θ1 and q2 are the angles made by the lines joining the ends of the wire ( P and Q ) to point O,
measured with respect to the perpendicular to the wire.
4. Calculation:
1. Identify the angles:
• (angle between the line connecting O to P and the perpendicular)
• (angle between the line connecting O to Q and the perpendicular)
2. Apply the formula:
20)
Ans -
21)
Ans - 180°
22)
Suppose P is the point between the conductors where net magnetic field is zero.
So at P | Magnetic field due to conductor
1| = |Magnetic field due to conductor 2|
i.e.,
23)
B=
i ∝ Br
24)
Barc =
Bst.wire =
Barc ⊥ Bst.wire
0
B =
25)
Ans -
26)
27)
Ans -
28)
= 2 – 1 = 1A
= μo
30)
Ans -
31)
By theory
33)
r=
34)
pitch = Vcosθ × T
= V11 × T = 2 ×
=
= 2π × 10–2 m
sinθ =
θ = sin–1 =
36)
For the complete ring, M.I. of the ring about diameter . For the semi-circular ring.
37)
Ans -
38)
Ans -
39)
Ans -
40)
Ans - 7I
41)
I = 2m(2r)2 + 4x
= 8mr2 + 4
I=
For radius of gyration I = (6m)K2
⇒ 6mK2 = mr2
44)
45) Moment of inertia of rod AB about point P and perendicular to the plane =
MI. of rod AB about point
'O' = by using parallel axis theorem but the system consist of four side
CHEMISTRY
46)
Ecell =
47)
C1 > C2
48)
+0.32V
49)
Ans - 1030
50)
Ans - –0.59 V
51)
z>x>y
52)
53)
54)
55)
Increases
56) A decrease in PH
57) For feasible cell reaction → ΔG = –ve and acceleration to ΔG° = –2.303 RT log KC
If (KC > 1) → (positive) then ΔG° = (negative)
59)
Ans - 103
60)
61)
62) is the strongest oxidizing agent and Mg is the strongest reducing agent.
63)
212.3 kJ
64)
I and IV
65)
3x2 – 2x1
66)
E1 > E2
67)
68)
69)
70)
0.0414 V
71)
lone pair of 'N' is localized.
72) is least stable due to less number of covalent bond (incomplete octet of O) and
+ve charge on more EN atom.
73)
Acidic strength(A.s/ka)→III>I>IV>II
pKa → II > IV>I>III
74) Carbanion does not show hyperconjugation so does not show hyperconjugation.
75)
78)
A) Question explanation: Identify the series containing only electrophiles (electron pair
acceptors).
D) Answer Explanation:
E) Final Answer: Series 3 (BF₃, SO₃, NO₂⁺) contains only electrophiles. This corresponds to
option 3.
79)
Ans - and
80)
Ans -
81)
Ans -
82)
[More stable C⊕]
83)
84)
Ans -
85)
1,6-Dimethylcyclohexene
86)
Ethanoic anhydride
87)
Ans is 6
88)
F2 + 2e⊝ → 2F–
Li+ + e⊝ → Li
89)
90)
BIOLOGY
91)
Ans
92)
Ans - 25%
93)
94)
96)
Mendelian trait
97)
98)
100)
Rudimentary ovaries
101)
102)
107)
If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
108)
Ans 0%
109)
110)
111)
Ans -
113)
Carrier female
114)
Ans -
115)
Ans- 1/16
116)
Turner's syndrome
117)
AIDS
118)
This genetic disorder is due to the presence of an additional copy of the chromosome number
21
119)
Nondisjunction of chromosome
120)
NCERT-XII, Pg. # 76
121)
NCERT-XII, Pg. # 76
122)
123)
NCERT (XIth) Pg. # 85
124)
125)
Three
133)
above → overhead
outer side - exterior to
In NCERT Page No. 90
The conjoint vascular bundles usually have the phloem located only on the outer side of xylem.
136) Mutations are random changes in the genetic material, and while they can introduce new
genetic variations, they can also lead to harmful or less adaptive traits. In some cases, the
accumulation of mutations over generations can result in a decrease in the population's overall
adaptability, particularly if the mutations are mostly neutral or detrimental rather than
beneficial.
So, the correct answer would be:
2. Mutation : Mutations introduce genetic changes, but if the mutations are harmful or not
beneficial, they can reduce the overall adaptability of subsequent generations.
137)
A. Charles Darwin's theory of Natural Selection emphasized the gradual accumulation of small,
continuous variations over generations as the key to evolution.
B. He believed that continuous variations (small differences among individuals) were heritable
and could be selected for in nature.These variations contribute to adaptation and survival in a
changing environment.
However, Darwin did not believe that discontinuous variations (sudden, large changes or mutations)
played a major role in evolution.
The correct answer is 4. Discontinuous variations.
138)
139)
140)
141)
Mesozoic era
142)
143)
A. False : because Fitness is the end result of the ability to adapt and get selected by nature.
A. True: Natural selection is the process where nature "selects" for traits that increase an
organism's fitness. Individuals with higher fitness (i.e., those better suited to their
environment) are more likely to survive and reproduce, passing their advantageous traits to
the next generation.
A. False: The first forms of life on Earth are estimated to have appeared around 3.5-3.8 billion
years ago, not 2000 million years ago (which is 2 billion years ago).
144)
145)
All living species or types of organisms that we see today were created as such
146)
147)
Four
148)
A is true, R is false.
149)
Seed eating
150)
Saltation
151)
Bottleneck effect
152)
154)
155)
IV – II – III – I
157)
161)
163)
Lacteals
165)
Joint diastole
167)
NCERT - Pg. No.# 295
171)
172)
173)
A. Actin filaments move towards the H-zone: This is a key feature of the sliding filament
theory. Actin filaments slide past myosin filaments, pulling them towards the center of
the sarcomere.
B. Decreased length of sarcomere: As the actin and myosin filaments slide past each other,
the distance between the Z-lines (the boundaries of the sarcomere) decreases, resulting
in a shorter sarcomere.
C. Length of A-band remains unchanged: The A-band is the region of the sarcomere that
contains the myosin filaments. During contraction, the A-band does not change in length
because the myosin filaments themselves do not shorten.
Therefore, the length of the myosin filament does not decrease during muscle contraction.
175)
b and c
176)
Na+ will be in excess in intracellular fluid
177)
Neither neurotransmitter is released nor the Na+ channel of post-synaptic neuron open up
179)
ANS - LH
180)
Cholecystokinin