# (Paper) AIEEE 2008 EXAMINATION PAPER : Code-A6 (Paper -2)

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**AIEEE 2008 EXAMINATION
PAPER (Code-A6)**

**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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