26. The organic chloro compound, which shows complete stereochemical inversion during a SN2 reaction , is
(1) (CH3)3CCl (2) (CH3)2CHCl
(3) CH3Cl (4) (C2H5)2CHCl
Ans. [3]

27. The absolute configuration of
HO2C CO2H
HO H H
OH
is
(1) R, R (2) R, S (3) S, R (4) S, S
Ans. [1]

28. α-D-(+)-glucose and β-D-(+)-glucose are
(1) epimers (2) anomers
(3) enantiomers (4) conformers
Ans. [2]

29. The electrophile, E⊕ attacks the benzene ring to generate the intermediate σ-complex. Of the following,
which σ-complex is of lowest energy ?
(1)
H
+ E (2)
+
H
E
NO2
(3)
H
E
NO2
+ (4)
+
H E
NO2
Ans. [1]

30. Standard entropy of X2, Y2 and XY3 are 60, 40 and 50 J K–1 mol–1, respectively. For the reaction,
2
1 X2 +
2
3 Y2 → XY3 ΔH = – 30 kJ, to be at equilibrium, the temperature will be
(1) 500 K (2) 750 K
(3) 1000 K (4) 1250 K
Ans. [2]

31. For the following three reactions a, b and c, equilibrium constants are given:
(1) CO(g) + H2O(g) CO2(g) + H2(g); K1 (2) CH4(g) + H2O(g) CO(g) + 3H2(g); K2
(3) CH4(g) + 2H2O(g) CO2(g) + 4H2(g); K3
Which of the following relations is correct ?
(1) K2 K3 = K1 (2) K3 = K1K2
(3) K3 K2
3 = K1
2 (4) K1 K2 = K3
Ans. [2]

32. Bakelite is obtained from phenol by reacting with
(1) CH3CHO (2) CH3COCH3
(3) HCHO (4) (CH2OH)2
Ans. [3]

33. The equilibrium constants Kp1 and Kp2for the reactions X 2Y and Z P + Q, respectively are
in the ratio of 1 : 9. If the degree of dissociation of X and Z be equal then the ratio of total pressures at
these equilibria is
(1) 1 : 1 (2) 1 : 3
(3) 1 : 9 (4) 1 : 36
Ans. [4]

34. For a reaction
2
1 A → 2B, rate of disappearance of 'A' related to the rate of appearance of 'B' by the
expression
(1)
dt
d[B]
4
1
dt
− d[A] = (2)
dt
d[B]
dt
− d[A] =
(3)
dt
4 d[B]
dt
− d[A] = (4)
dt
d[B]
2
1
dt
− d[A] =
Ans. [1]

35. At 80º C , the vapour pressure of pure liquid 'A' is 520 mm Hg and that of pure liquid 'B' is 1000 mm Hg.
If a mixture solution of 'A' and 'B' boils at 80º C and 1 atm pressure, the amount of 'A' in the mixture is (1
atm = 760 mm Hg)
(1) 34 mol percent (2) 48 mol percent
(3) 50 mol percent (4) 52 mol percent
Ans. [3]

36. A body of mass m = 3.513 kg is moving along the x- axis with a speed of 5.00 ms–1. The magnitude of its
momentum is recorded as
(1) 17.565 kg ms–1 (2) 17.56 kg ms–1
(3) 17.57 kg ms–1 (4) 17.6 kg ms–1
Ans. [4]

37. Consider a uniform square plate of side 'a' and mass 'm'. The moment of inertia of this plate about an axis
perpendicular to its plane and passing through one of its corners is
(1)
12
1 ma2 (2)
12
7 ma2
(3)
3
2 ma2 (4)
6
5 ma2
Ans. [3]

38. The speed of sound in oxygen (O2) at a certain temperature is 460 ms–1. The speed of sound in helium
(He) at the same temperature will be (assume both gases to be ideal)
(1) 500 ms–1 (2) 650 ms–1
(3) 330 ms–1 (4) 460 ms–1
Ans. [BONUS]

39. A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following
graphs most closely represents the electric field E (r) produced by the shell in the range 0 ≤ r < ∞, where r
is the distance from the centre of the shell?
(1)
E(r)
r
O R
(2)
E(r)
r
O R
(3)
E(r)
r
O R
(4)
E(r)
r
O R
Ans. [4]

40. Relative permittivity and permeability of a material are εr and μr, respectively. Which of the following
values of these quantities are allowed for a diamagnetic material?
(1) εr = 1.5 , μr = 0.5 (2) εr = 0.5 , μr = 0.5
(3) εr = 1.5 , μr = 1.5 (4) εr = 0.5 , μr = 1.5
Ans. [1]

41. Suppose an electron is attracted towards the origin by a force
r
k where 'k' is a constant and 'r' is the
distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth
orbital of the electron is found to be 'rn' and the kinetic energy of the electron to be 'Tn'. Then which of the
following is true?
(1) Tn independent of n, rn ∝ n (2) Tn ∝
n
1 , rn ∝ n
 (3) Tn ∝
n
1 , rn ∝ n2 (4) Tn ∝ n2
1 , rn ∝ n2
Ans. [1]

42. A block of mass 0.50 kg is moving with a speed of 2.00 ms–1 on a smooth surface. It strikes another mass
of 1.00 kg and then they move together as a single body. The energy loss during the collision is
(1) 1.00 J (2) 0.67 J
(3) 0.34 J (4) 0.16 J
Ans. [2]

43. A wave travelling along the x- axis is described by the equation y(x,t) = 0.005 cos (αx –βt). If the
wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate
units are
(1) α =
π
0.08 , β =
π
2.0 (2) α =
π
0.04 , β =
π
1.0
(3) α = 12.50 π, β =
2.0
π
(4) α = 25.00π , β = π
Ans. [4]

44. A working transistor with its three legs marked P, Q and R is tested using a multimeter. No conduction is
found between P and Q. By connecting the common (negative) terminal of the multimeter to R and the
other (positive) terminal to P or Q, some resistance is seen on the multimeter. Which of following is true
for the transistor ?
(1) It is a pnp transistor with R as collector (2) It is a pnp transistor with R as emitter
(3) It is an npn transistor with R as collector (4) It is an npn transistor with R as base
Ans. [4]

45. A jar is filled with two non-mixing liquids 1 and 2 having densities ρ1 and ρ2, respectively. A solid ball,
made of a material of density ρ3, is dropped in the jar. It comes to equilibrium in the position shown in the
figure.
Liquid 1 ρ1
ρ3
Liquid 2 ρ2
Which of the following is true for ρ1, ρ2 and ρ3 ?
(1) ρ1 > ρ3 > ρ2 (2) ρ1 < ρ2 < ρ3
(3) ρ1 < ρ3 < ρ2 (4) ρ3 < ρ1 < ρ2
Ans. [3]

46. An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to
be in the range
(1) 2 × 105 J – 3 × 105 J (2) 20,000 J – 50,000 J
(3) 2,000 J – 5,000 J (4) 200 J – 500 J
Ans. [3]

47. A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its
plates is 'd'. The space between the plates is now filled with two dielectrics. One of the dielectrics has
dielectric constant k1 = 3 and thickness
3
d while the other one has dielectric constant k2 = 6 and thickness
3
2d . Capacitance of the capacitor is now
(1) 45 pF (2) 40.5 pF
(3) 20.25 pF (4) 1.8 pF
Ans. [2]

48. The dimension of magnetic field in M, L, T and C (Coulomb) is given as
(1) MT2C–2 (2) MT–1C–1
(3) MT–2C–1 (4) MLT–1C–1
Ans. [2]

49. A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration.
At the same instant another body passes through x = 0 moving in the positive x-direction with a constant
speed. The position of the first body is given by x1(t) after time 't' and that of second body by x2(t) after the
same time interval. Which of the following graphs correctly describes (x1 – x2) as a function of time 't' ?
(1)
(x1 – x2)
O
t (2)
(x1 – x2)
O
t
 (3)
(x1 – x2)
O
t
(4)
(x1 – x2)
O
t
Ans. [1]

50. In the circuit below, A and B represent two inputs and C represents the output.
A
B
C
The circuit represents
(1) AND gate (2) NAND gate
(3) OR gate (4) NOR gate
Ans. [3]

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