CUSAT CAT 2018 Question Paper B.Tech Final

Subject Code : 101 Section Code : -Select- Difficulty: 1

Subject Answer
Q Id Questions
Code Key

(A) reflexive
101 2701 (D)
(B) symmetric

(C) transitive

(D) neither reflexive nor symmetric

(A) f is one-one and onto
101 2702 (A)
(B) f is onto but not one-one

(C) f is one-one but not onto

(D) f is neither one-one nor onto

(A)

(B)
101 2703 (A)

(C)

(D)

(A) commutative
101 2704 (D)
(B) associative

(C) commutative and associative

(D) neither commutative nor associative

101 2705 (D)

(A) 10

(B) 16

(C) 20

(D) 8

(A)

(B)

101 2706 (C)

(C)

(D)

(A)

(B)
101 2707 (B)

(C)

(D)

(A) π
101 2708 (C)
(B) 0

(C) π/2

(D) π/4

101 2709 (D)

(A)

(B)

(C)

(D)

101 2710 (A) y = 2x (A)

(B) y = –2x

(C) y = x

(D) y = –x

101 2711 (A)
(A) λ = 1

(B) λ = –1

(C) λ= 2

(D) λ= –2

(A) AB = BA ≠I
101 2712 (D)
(B) AB = BA = 0

(C) AB = 0, BA = I

(D) AB = BA=I

101 2713 (A)

(A) 1

(B) 2

(C) –1

(D) 0

(A) 2 units
101 2714 (C)
(B) 4 units

(C) 3 units

(D) 7 units

(A)

(B)
101 2715 (D)

(C)

(D)

101 2716 (A) x − iy (B)
(B) x + iy

(C) 2 x

(D) − 2 iy

(A) 9
101 2717 (A)
(B) –9

(C) 16

(D) 32

101 2718 (C)

(A) 2

(B) 0

(C) –1

(D) 1

(A) 2
101 2719 (B)
(B) 9/4

(C) 9/3

(D) 9/2

101 2720 (A) cos x + x sin x (B)

(B) x sin x

(C) x cos x

(D) sin x + x cos x

101 2721 (A) ex (B)

(B) log x

(C) 1/ x

(D) e-x

(A)

(B)
101 2722 (B)

(C)

(D)

(A) –1
101 2723 (C)
(B) 1

(C) 1/3

(D) 3

101 2724 (A)

(A) (1, 2)

(B) (2, 1)

(C) (1, –2)

(D) (–1, 2)

101 2725 (C)
(A) 0.06 x3 m3

(B) 0.6 x3 m3

(C) 0.09 x3 m3

(D) 0.9 x3 m3

101 2726 (A) (–1/3, –3) (B)

(B) (1/3, 1)

(C) (–1/3, 3)

(D) (1/3, –3)

(A) (0, 0)

(B) (2, 2)
101 2727 (C)
(C)

(D)

101 2728 (D)

(A)

(B)

(C)

(D)

101 2729 (B)
(A) 2

(B) 1

(C) 3

(D) 5

101 2730 (A)

(A) (0, 0, – 4)

(B) (1, 0, 0)

(C) (0, 2, 0)

(D) (1, 2, 2)

(A)

(B)
101 2731 (D)

(C)

(D)

101 2732 (C)

(A)

(B)

(C)

(D)

(A) perpendicular
101 2733 (B)
(B) parallel

(C) intersect on y-axis

(D) passing through (0,0, 5/4)

(A) 3 a2 –26 a +55 = 0
101 2734 (B)
(B) 3 a2 –32 a +84 = 0

(C) 3 a2 –34 a +91 = 0

(D) 3 a2 –23 a +44 = 0

101 2735 (A) 1/16 (D)

(B) 9/16

(C) 3/4

(D) 15/16

101 2736 (B)
(A) 3/4

(B) 1/3

(C) 1/4

(D) 1/2

101 2737 (D)

(A) 0

(B) 1/3

(C) 1/12

(D) 1/36

(A)

(B)
101 2738 (A)

(C)

(D)

(A) 2
101 2739 (B)
(B) –2

(C) 4

(D) –4

(A)

101 2740 (B) (D)

(C)

(D)

101 2741 (A)

(A)

(B)

(C)

(D)

(A)

101 2742 (B) (A)

(C)

(D)

(A)

(B)
101 2743 (A)

(C)

(D)

101 2744 (C)

(A)

(B)

(C)

(D)

(A) –2
101 2745 (B)
(B) 8

(C) –2, 8

(D) 4

101 2746 (A) 3 (B)

(B) 4

(C) 6

(D) 2

(A)

101 2747 (B) (D)

(C)

(D)

(A)

(B)
101 2748 (C)

(C)

(D)

101 2749 (B)

(A) 1

(B) 0

(C) i

(D)

101 2750 (A) a circle (C)

(B) a straight line

(C) a hyperbola

(D) an ellipse

101 2751 (A) 4 (B)

(B) –4

(C) 2

(D) –2

(A)

(B)
101 2752 (A)

(C)

(D)

101 2753 (B)

(A)

(B)

(C)

(D)

(A) a straight line
101 2754 (A)
(B) a circle

(C) an ellipse

(D) a pair of straight lines

(A)

101 2755 (B)
(B)

(C)

(D)

(A)

101 2756 (B) (C)

(C)

(D)

101 2757 (C)

(A)

(B)

(C)

(D)

101 2758 (B)

(A) 0

(B) 1

(C) –1

(D) 2

(A)
101 2759 (A)

(B)

(C)

(D)

101 2760 (A) i (B)

(B) i–1

(C) – i

(D) 0

101 2761 (A)

(A) AP

(B) GP

(C) HP

(D) None of the above

101 2762 (D)

(A) 96

(B) 60

(C) 54

(D) 49

101 2763 (A) – 4 (B)

(B) – 12

(C) 12

(D) 1

(A)

(B)

101 2764 (A)

(C)

(D)

101 2765 (A)

(A)

(B)

(C)

(D)

101 2766 (A) 16 abc (A)

(B) 4 abc

(C) 8 abc

(D) 3 abc

(A) 9
101 2767 (A)
(B) 10

(C) 16

(D) 5

(A)

(B)
101 2768 (C)

(C)

(D)

101 2769 (A) 3 (C)

(B) 1

(C) 0

(D) infinite

101 2770 (C)

(A)

(B)

(C)

(D)

101 2771 (A) 0 (A)

(B) 5

(C) – 5

(D) 10

101 2772 (A) 0, 81 (A)

(B) 0, 36

(C) – 10, 3

(D) 10, – 3

(A) real
101 2773 (A)
(B) purely imaginary

(C) complex

(D) one rational and other irrational

101 2774 (B)

(A) – 5, – 30

(B) – 5, 30

(C) 5, 30

(D) 5, –30

(A) 10
101 2775 (C)
(B) 30

(C) 20

(D) 5

(A) one
101 2776 (C)
(B) two

(C) zero

(D) infinite

101 2777 (A) 0 and 4 (D)
(B) 0 and 1

(C) 0.1 and 4

(D) 1 and 4

(A)

(B)
101 2778 (B)

(C)

(D)

101 2779 (C)

(A)

(B)

(C)

(D)

(A)

101 2780 (B) (C)

(C)

(D)

(A) 60
101 2781 (D)
(B) 20

(C) 4

(D) 5

(A) 4
101 2782 (A)
(B) 8

(C) 10

(D) 3

(A) 15
101 2783 (C)
(B) 14

(C) 13

(D) 12

(A) 72
101 2784 (C)
(B) 71

(C) 36

(D) 84

101 2785 (A)

(A) 126

(B) 84

(C) 210

(D) 96

(A)

(B)

101 2786 (B)

(C)

(D)

(A)

(B)
101 2787 (A)

(C)

(D)

101 2788 (A) 1 (D)
(B) 2

(C) 3

(D) 4

101 2789 (B)

(A) 2

(B) 1

(C) 0

(D) 8

(A)

101 2790 (D)
(B)

(C)

(D)

101 2791 (A) –20 (A)
(B) 20

(C) 30

(D) – 30

(A) 2
101 2792 (B) 1 (D)

(C) 0

(D)

(A) A and B are non-singular
101 2793 (D)
(B) B is non-singular

(C) A is non-singular

(D) A and B are singular

101 2794 (D)

(A)

(B)

(C)

(D)

101 2795 (D)
(A) 0

(B)

(C) 2

(D) 4

(A)

(B)

101 2796 (D)

(C)

(D)

101 2797 (D)

(A) 3 I

(B) I

(C) – I

(D) 2 I

101 2798 (D)
(A) 27 A

(B) 81 A

(C) 243 A

(D) 729 A

(A)

101 2799 (C)

(B)

(C)

(D)

101 2800 (C)
(A) AP

(B) HP

(C) GP

(D) None of the above

101 2801 (A)

(A)

(B)

(C)

(D)

(A)

101 2802 (B) (A)

(C)

(D)

(A)

101 2803 (B) (D)

(C)

(D)

101 2804 (D)

(A)

(B)

(C)

(D)

(A) 7
101 2805 (A)
(B) 9

(C) 10

(D) 12

(A)

(B)
101 2806 (B)

(C)

(D)

(A)

101 2807 (B) (D)

(C)

(D)

101 2808 (D)

(A)

(B)

(C)

(D)

(A)

101 2809 (C)

(B)

(C)

(D)

(A)

(B)

101 2810 (C)

(C)

(D)

101 2811 (C)

(A)

(B)

(C)

(D)

A box contains 3 red and 5 blue balls. The probability, that two balls are drawn in which 2nd ball drawn is blue
without replacement, is

(A)

(B)
101 2812 (C)

(C)

(D)

(A)

101 2813 (B) (D)

(C)

(D)

101 2814 (D)

(A) 2

(B) 0

(C) 3

(D) 1

(A)

(B)

101 2815 (B)

(C)

(D)

(A)

(B)

101 2816 (A)

(C)

(D)

101 2817 (C)

(A)

(B)

(C)

(D)

(A)

(B)

101 2818 (A)

(C)

(D)

101 2819 (A) – 1 (B)

(B) – 3

(C) 3

(D) 1

(A)

101 2820 (B) (B)

(C)

(D)

101 2821 (D)

(A)

(B)

(C)

(D)

101 2822 (A) 3 (B)

(B) 9

(C) 1

(D) 5

(A)

101 2823 (B)
(B)

(C)

(D)

101 2824 (C)

(A)

(B)

(C)

(D)

(A) 1

101 2825 (B) 2 (B)
(C) 3

(D)

A car starts from rest to cover a distance s. The coefficient of friction between the road and the tyres is µ. The
minimum time in which the car can cover the distance is proportional to

(A) µ

(B) 1/ µ
101 2826 (D)
(C)

(D)

The diameter of a circle is 2.486 m. Its area with due regard to significant figures is (Given π = 3.142)

(A) 4.85454 m2

101 2827 (B) 4.8545 m2 (D)

(C) 4.584 m2

(D) 4.855 m2

An athlete completes one round of a circular track of radius R in 40 s. What will be his displacement at the end
of 2 minutes 20 seconds?

(A) 7R
101 2828 (B)
(B) 2R

(C) 2πR

(D) 7πR

101 2829 Vectors A and B have same magnitude. In addition, the magnitude of their resultant is also equal to the (A)
magnitude of either of them. Then A and B are at an angle

(A) 120o

(B) 60o

(C) 90o

(D) 45o

In a tug of war contest, two men pull on a horizontal rope from opposite sides. The winner will be the man who

(A) exerts greater force on the rope

101 2830 (B) exerts greater force on the ground (B)

(C) exerts force on the rope which is greater than the tension in the rope

(D) makes a smaller angle with the vertical

Which one of the following is not a conservative force?

(A) gravitational force

101 2831 (B) electromagnetic force between two charges (D)

(C) magnetic force between two magnetic dipoles

(D) frictional force

The center of mass of a system of particles does not depend on

(A) mass of the particles

101 2832 (B) position of particles (C)

(C) forces on the particles

(D) relative distance between the particles

If the separation between carbon and oxygen in CO molecule is 0.12 nm, then the distance of the center of mass
from the carbon atom is

(A) 0.03 nm
101 2833 (B)
(B) 0.068 nm

(C) 0.05 nm

(D) 0.06 nm

Which one of the following is an evidence to show that there must be a force acting on earth and directed
towards sun?

(A) deviation of the falling bodies towards east
101 2834 (B)
(B) revolution of the earth round the sun

(C) phenomenon of day and night

(D) expanding universe

Kepler’s second law regarding constancy of aerial velocity of a planet is a consequence of conservation of

(A) energy

101 2835 (B) distance (D)

(C) linear momentum

(D) angular momentum

Glass is a

(A) Crystalline solid

101 2836 (B) Amorphous solid (B)

(C) Liquid crystalline material

(D) Polymeric material

101 2837 A certain planet is at a distance d from the sun. Then the temperature of the planet is (D)

(A) proportional to d

(B) inversely proportional to d

(C) inversely proportional to √d

(D) inversely proportional to d2

The velocity of sound in air is independent of change in

(A) temperature

101 2838 (B) density (C)

(C) pressure

(D) humidity

A parallel plate condenser is charged and isolated. When a sheet of glass is interposed between the plates

(A) the charges on the plates will be reduced

101 2839 (B) the potential difference between the plates will be reduced (C)

(C) the potential difference between the plates will be increased

(D) the charges on the plates will be increased

Two wires carrying the same current in the same direction and placed 1 cm apart will experience

(A) a mutually attractive force

101 2840 (B) a mutually repulsive force (A)

(C) no force at all

(D) attractive as well as repulsive force

Eddy currents developed on a conductor moving in a magnetic field will tend to

(A) speed up the motion

101 2841 (B) slow down the motion (B)

(C) rotate the conductor

(D) oscillate the conductor

Two coils of inductances L1 and L2 are linked such that their mutual inductance is M. Then,

(A) M = L1 – L2

(B) M = L1 + L2
101 2842 (D)
(C) M = (L1 + L2)/2

(D)

Two monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible
intensities in the resulting beam are

(A) 5 I and I
101 2843 (D)
(B) 5 I and 3 I

(C) 9 I and I

(D) 9 I and 3 I

101 2844 The penetrating powers of a, b and g radiations, in decreasing order, are (D)

(A) α,β,γ

(B) γ,α,β

(C) β,γ,α

(D) γ,β,α

If orbits of n greater than 4 are not allowed, the maximum number of elements in nature would be

(A) 78

101 2845 (B) 60 (B)

(C) 106

(D) 32

Fermi level in the case of intrinsic semiconductor lies

(A) close to the conduction band

101 2846 (B) close to the valence band (C)

(C) in the middle of the forbidden energy gap

(D) above the conduction band

A certain npn transistor has a forward current gain β of 99. The current amplification factor α of the transistor is

(A) 0.66

101 2847 (B) 0.99 (B)

(C) 0.98

(D) 9.9

101 2848 (D)

(A) NAND

(B) OR

(C) NOR

(D) XOR

Optical fibers transmit light signals from one place to another place by

(A) internal conical refraction

101 2849 (B) double refraction (D)

(C) interference of light signals

(D) total internal reflection

101 2850 Numerical aperture of an optical fiber is a measure of (C)

(A) attenuation of light signals in the fiber

(B) difference between the refractive indices of core and the cladding

(C) light gathering power of the fiber

(D) signal distortion in the fiber

In a sample of radioactive material, what percentage of initial number of active nuclei will decay during one
mean life?

(A) 37%
101 2851 (B)
(B) 63%

(C) 50%

(D) 69.3%

The frequency of radio waves from a certain radio station is 600 KHz. Its wavelength is

(A) 5 m

101 2852 (B) 500 m (B)

(C) 0.6 m

(D) 6 m

Blue colour of the sky is due to

(A) Raman scattering

101 2853 (B) Tyndall scattering (C)

(C) Raleigh scattering

(D) Mie scattering

In a parallel LCR circuit, the current at resonance will be

(A) maximum

101 2854 (B) zero (B)

(C) minimum

(D) infinity

The time period of an earth-satellite in circular orbit is independent of

(A) mass of the satellite

101 2855 (B) radius of the orbit (A)

(C) both of them

(D) none of them

The kinetic energy of a body of moment of inertia I and angular momentum L is

(A) L 2 /I

101 2856 (B) L 2 /2I (B)

(C) L/2I

(D) IL 2

101 2857 The phase difference between the displacement and velocity of a particle executing simple harmonic motion is (A)

(A) π/2

(B) π

(C) π/4

(D) zero

Which physical phenomenon is responsible for spherical shape of the rain drop?

(A) Viscosity

101 2858 (B) Buoyancy (D)

(C) Friction

(D) Surface tension

Bernoulli’s principle is a consequence of

(A) conservation of energy alone

101 2859 (B) conservation of energy and momentum (A)

(C) conservation of momentum alone

(D) conservation of angular momentum

At what temperature do the Fahrenheit and Celcius scales of temperature coincide?

(A) 0o C

101 2860 (B) – 40o C (B)

(C) – 273o C

(D) 32oF

When the source and the listener move in the same direction with a speed equal to the half of the speed of
sound, the change in frequency of the sound is

(A) Zero
101 2861 (A)
(B) 25%

(C) 50%

(D) 75%

In Young’s double slit experiment, the fringe width is β. If the entire arrangement is now placed inside a liquid
of refractive index μ, the fringe width will become

(A) μβ
101 2862 (C)
(B) (μ+1) β

(C) β/μ

(D) β/(μ+1)

Formation of rainbow involves

(A) dispersion of sunlight

101 2863 (B) interference of sunlight (A)

(C) diffraction of sunlight

(D) polarization of sunlight

101 2864 Which one of the following distance-time graphs represent one dimensional uniform motion? (D)

(A)

(B)

(C)

(D)

At the top of the trajectory of a projectile, the acceleration is

(A) Zero

101 2865 (B) g (B)

(C) Maximum

(D) Minimum

In a uniform circular motion

stands for radius vector,
linear velocity and angular velocity respectively.
Then which of the following is true?

(A)

101 2866 (B)
(B)

(C)

(D)

Two balls of masses 2 g and 6 g are moving with a kinetic energy in the ratio 3:1. What is the ratio of their
linear momentum?

(A) 1:1
101 2867 (A)
(B) 2:1

(C) 1:2

(D) None of the above

(A) wood on wood
101 2868 (B)
(B) rubber tyre on dry concrete

(C) steel on steel

(D) rubber tyre on wet concrete

101 2869 If two electrons are forced to come closer to each other, the potential energy of the system of 2 electrons will (B)

(A) Becomes zero

(B) Increases

(C) Decreases

(D)

(A)

101 2870 (B) (A)

(C)

(D)

The total energy of the particle executing Simple Harmonic Motion is

(A) proportional to x

101 2871 (B) proportional to x2 (C)

(C) independent of x

(D) proportional to x3

Young’s modulus of a perfectly rigid body is

(A) zero

101 2872 (B) unity (C)

(C) infinity

(D) more than zero but less than infinity

(A)

101 2873 (B) (D)

(C)

(D)

101 2874 A hole is drilled along the diameter of the earth and a stone is dropped into it. Then the stone (C)

(A) reaches the centre of the earth and stops

(B) reaches the opposite end and stops

(C) executes simple harmonic motion about the centre of the earth

(D) reaches the opposite side and escapes earth

A car and a bus are moving with the same kinetic energy. They are brought to rest by applying brakes which
provide equal retarding forces. The distances covered by them before coming to rest will be

(A) Inversely proportional to the square of their masses
101 2875 (D)
(B) Inversely proportional to their masses

(C) Directly proportional to their masses

(D) Equal

A ring of radius r and mass m rotates about its central axis. The kinetic energy is

(A)

(B)

101 2876 (D)
(C)

(D)

Which waves are used in sonography?

(A) Microwaves

101 2877 (B) Infra-red waves (D)

(C) Sound waves

(D) Ultrasonic waves

[M‒1L‒2 T2 Q2] is dimensional formula of

(A) capacitance

101 2878 (B) resistance (A)

(C) inductance

(D) magnetic field

The value of gravitational constant G depends upon

(A) nature and size of bodies

101 2879 (B) the medium between two masses (D)

(C) the temperature of bodies

(D) None of the above

If 22 g of CO2 at 27oC is mixed with16 g of O2 at 37oC, the temperature of the mixture is

(A) 32oC

101 2880 (B) 27oC (A)

(C) 37oC

(D) 30.5oC

101 2881 A black body at high temperature emits radiations of (D)

(A) longer wavelength

(B) shorter wavelength

(C) one fixed wavelength

(D) all wavelength

Cloudy nights are usually warmer than clear ones, because clouds

(A) do not radiate heat

101 2882 (B) do not absorb heat (C)

(C) have low thermal conductivity

(D) have high thermal conductivity

In a container having water filled up to a height h, a hole is made in the bottom. The velocity of water flowing
out of the hole is

(A) proportional to h
101 2883 (C)
(B) proportional to h2

(C) proportional to h1/2

(D) independent of h

(A)

101 2884 (B) (A)

(C)

(D)

Two heater coils separately take 10 min and 5 min to boil a certain amount of water. If both the coils are
connected in series, the time taken to boil water is

(A) 2.5 min
101 2885 (D)
(B) 3.33 min

(C) 7.5 min

(D) 15 min

If a star emitting orange light moves away from the earth, its colour

(A) will appear red

101 2886 (B) will appear yellow (A)

(C) remain the same

(D) turns gradually blue

101 2887 A stretched string fixed at both ends has n nodes then the length of the string in terms of wavelength is (C)

(A)

(B)

(C)

(D)

Which of the following properties has low value for ferrites?

(A) Conductivity

101 2888 (B) Permeability (C)

(C) Magnetic susceptibility

(D) None of the above

In Carnot’s engine at the end of the cycle, the temperature of the working substance is

(A) less than initial temperature

101 2889 (B) greater than initial temperature (C)

(C) equal to initial temperature

(D) None of the above

Compressed air coming out of punctured football becomes cooler because of

(A) adiabatic expansion

101 2890 (B) Joule Thomson effect (A)

(C) isothermal expansion

(D) energy dissipation

Two identical samples of gas are allowed to expand (i) isothermally and (ii) adiabatically. The amount of work
done is then

(A) equal in both the cases
101 2891 (C)
(B) more for adiabatic expansion

(C) more for isothermal expansion

(D) None of the above

The thermodynamic process in which the pressure of the system remains constant is called

(A) Isochoric

101 2892 (B) Adiabatic (D)

(C) Isothermal

(D) Isobaric

The internal energy of a perfect gas does not change during

(A) adiabatic process

101 2893 (B) isothermal process (B)

(C) isobaric process

(D) isochoric process

101 2894 The process of superimposing a signal frequency on the carrier wave is known as (B)

(A) transmission

(B) reception

(C) modulation

(D) detection

Which one of the following statements is wrong?

(A) Ultra-violet rays have a wavelength longer than infra red rays

101 2895 (B) infra red rays travel with the same velocity as visible light (A)

(C) infra red ray can be focused by a lens and can be reflected by a mirror just as visible light

(D) Infra red rays have more heating power than visible light rays

When a diamagnetic substance is brought near the north or south pole of a bar magnet, it is

(A) attracted by the poles

101 2896 (B) repelled by the poles (B)

(C) attracted by north pole and repelled by south pole

(D) repelled by north pole and attracted by south pole

How will an image produced by a lens change if half the lens is wrapped in black paper?

(A) there will be no effect

101 2897 (B) the size of image will be reduced to one half (D)

(C) the image will disappear

(D) the brightness of the image will be reduced

The diode is used as

(A) an amplifier

101 2898 (B) an oscillator (C)

(C) a rectifier

(D) a modulator

Which of the following interactions is the weakest?

(A) Gravitational

101 2899 (B) Electrostatic (A)

(C) Nuclear

(D) Electromagnetic

(A) a neutron
101 2900 (B)
(B) a neutrino

(C) an electron

(D) a proton

101 2901 Total number of electrons in sub shells is calculated by (A)

(A) 2(21+1)

(B) 2n2

(C) 3(21+1)

(D) 2(2n+1)

The order of ionization energy

(A) s < p < d < f

101 2902 (B) s > p > d > f (B)

(C) s > d > p > f

(D) s < d < p < f

Sulphuric acid is

(A) an oxidizing agent

101 2903 (B) a dehydrating agent (C)

(C) Both (A) and (B)

(D) Neither (A) nor (B)

Which is reduced in the following reaction (a) 2 KI (aq) + (b) Cl2 (aq) → 2KCl + I2(aq)

(A) (a) and (b)

101 2904 (B) (a) (C)

(C) (b)

(D) None of the above

The common isotopes of carbon are 12C and 13C. The average mass of carbon is 12.01115 amu. What is the
abundance of the 13C isotope?

(A) 1.115%
101 2905 (A)
(B) 98.885%

(C) 0.480%

(D) 99.52%

Which of the following sets of ions represent the collection of isoelectronic species?

(A) K+, Ca2+, Sc3+, Cl–

101 2906 (B) Na+, Mg2+, Al3+, Cl– (A)

(C) K+, Cl–, Mg2+, Sc3+

(D) Na+, Ca2+, Sc3+, F–

Which of the following molecule does not have a net dipole moment?

(A) H2O

101 2907 (B) NH3 (C)

(C) BF3

(D) BrF5

101 2908 Which of the following ions has a magnetic moment of 5.93 BM? (At.no. V = 23, Cr = 24, Mn = 25, Fe = 26) (A)

(A) Mn2

(B) Fe2+

(C) Cr2+

(D) V3+

The purple colour of permanganate ion is due to

(A) L to M charge transfer

101 2909 (B) M to L charge transfer (A)

(C) d-d transition

(D) f-f transition

Among the following, shortest bond length is found in

(A) C2

101 2910 (B) N2 (B)

(C) O2

(D) F2

The acid which has peroxy linkage is

(A) Dithonic acid

101 2911 (B) Sulphurous acid (C)

(C) Caro’s acid

(D) Pyrosulphuric acid

Bond angle of NH3, PH3, AsH3 and SbH3 is in the order

(A) PH3 > AsH3 > SbH3 > NH3

101 2912 (B) SbH3 > AsH3 > PH3 > NH3 (D)

(C) SbH3 > AsH3 > NH3 > PH3

(D) NH3 > PH3 > AsH3 > SbH3

Which one of the following octahedral complexes does not show geometrical isomerism? (A and B are
monodentate ligands)

(A) [MA2B4]

101 2913 (B) [MA3B3] (D)

(C) [MA4B2]

(D) [MA5B]

(A) (1) and (2)
101 2914 (B)
(B) (1) and (4)

(C) (2) and (4)

(D) (1) and (3)

101 2915 Among the noble gases, which is used for cancer treatment? (D)

(A) He

(B) Ne

(C) Ar

(D) Rn

Zone refining is used for the purification of

(A) Au

101 2916 (B) Ge (B)

(C) Ag

(D) Cu

Sulphide ores are generally concentrated by

(A) Froth flotation

101 2917 (B) Roasting (A)

(C) Magnetic separation

(D) Carbon reduction

0.177g of a monobasic acid required 30ml of N/10 NaOH solution for complete neutralization. Its molecular
weight will be

(A) 49
101 2918 (B)
(B) 59

(C) 69

(D) 79

Which statement is true?

(A) Resonance hybrids are inherently unstable

101 2919 (B) Resonance hybrids are more stable than any individual resonance form (D)

(C) Resonance hybrids are averages of all resonance forms resembling the less stable forms

(D) Resonance hybrids are averages of all resonance forms resembling the more stable forms

A meso compound

(A) is an achiral molecule which contains chiral carbons

101 2920 (B) contains a plane of symmetry or a center of symmetry (D)

(C) is optically inactive

(D) is characterized by all of the above

Ethers are kept in brown bottles because

(A) Brown bottles are cheaper than colorless clear bottles

101 2921 (B) Ethers absorb moisture (D)

(C) Ethers evaporate readily

(D) Ethers are oxidized to explosive peroxides

101 2922 Acetone undergoes reduction with hydrazine in the presence of NaOH to form propane. This reaction is known (B)
as,

(A) Clemmensen reduction

(B) Wolf-Kishner reduction

(C) Rosenmund reduction

(D) Reformatsky reaction

The self-condensation reaction of one molecule of 5-hydroxyhexanoic acid gives

(A) an anhydride

101 2923 (B) a lactone (B)

(C) a ketone

(D) a lactam

The Zwitter ion structure is shown by

(A) Sulphanilic acid

101 2924 (B) Acetanilide (A)

(C) Sulphanilamide

(D) p-phenylene diamine

The IUPAC name of C2(CN)4 is

(A) 2,3-Dicyano butanedinitrile

101 2925 (B) 2,3-Dicyano-2-butenedinitrile (B)

(C) 1,1,2,2- Tetracyanoethane

(D) 1,1,2,2-Tetracyanoethene

Which effect best explains that o-nitrophenol is insoluble in water?

(A) Inductive effect

101 2926 (B) Intermolecular H-bonding (C)

(C) Intramolecular H-bonding

(D) Resonance effect

Cannizzaro reaction involves migration of which species

(A) Proton

101 2927 (B) Carbene (C)

(C) Hydride ion

(D) Carbanion

Bromination of 2-methyl propane gives preferentially

(A) 2-Bromo-2-methyl propane

101 2928 (B) 1-Bromo-2-methyl propane (A)

(C) 2-Bromobutane

(D) 1-Bromobutane

Which of the following method may be used to distinguish between primary, secondary and tertiary alcohols?

(A) Lucas test

101 2929 (B) Oxidation test (D)

(C) Victor-Meyer test

(D) All of the above

101 2930 Reaction of benzaldehyde with acetic anhydride in the presence of base is known as…………. and the product (D)
is ………….

(A) Claisen reaction, Cinnamaldehyde

(B) Perkin reaction, Cinnamaldehyde

(C) Knovenagel reaction, Cinnamic acid

(D) Perkin reaction, Cinnamic acid

Which of the following is not a true aromatic compound?

(A) Acetophenone

101 2931 (B) Hydroquinone (C)

(C) p-Benzoquinone

(D) Phenyl acetaldehyde

Which one of the following are called pseudo acids?

(A) Alkyl nitrites

101 2932 (B) Primary nitro compounds (B)

(C) Tertiary nitro compounds

(D) Alkyl sulphonic acids

Rapid inter conversion of α-D-Glucose and β-D-Glucose in solution is known as

(A) Racemization

101 2933 (B) Asymmetric induction (D)

(C) Fluxional isomerisation

(D) Mutarotation

The Birch reduction of benzoic acid gives

(A)

(B)

101 2934 (A)

(C)

(D)

101 2935 The hydrogen ion concentration of a solution with pH value 3.69 is given by (A)

(A)

(B)

(C)

(D)

The variation of physical adsorption with temperature is shown by

(A)

(B)

101 2936 (B)
(C)

(D)

A molecule of SO2 is two times heavier than a O2 molecule. At 298 K the average kinetic energy of SO2
molecule is

(A) two times that of O2 molecules
101 2937 (B) half that of O2 molecules (D)

(C) four times that of O2 molecules

(D) same as that of O2 molecules

(A) 500 K
101 2938 (A)
(B) 279 K

(C) 198.8 K

(D) 99.4 K

The thermodynamic condition for the process of adsorption is

(A) ∆G < 0; ∆S > 0; ∆H < 0

101 2939 (B) ∆G < 0; ∆S < 0; ∆H < 0 (A)

(C) ∆G > 0; ∆S > 0; ∆H < 0

(D) ∆G < 0; ∆S < 0; ∆H > 0

101 2940 For a linear plot of log (x/m) versus log p in a Freundlich adsorption isotherm, the correct statement is (k and n (C)
are constants)

(A) Both k and 1/n appear in the slope term

(B) 1/n appears as the intercept

(C) Only 1/n appears as the slope

(D) log (1/n) appears as the intercept

In diamond, the coordination number of carbon is

(A) 4 and its unit cell has 8 carbon atoms

101 2941 (B) 4 and its unit cell has 6 carbon atoms (A)

(C) 6 and its unit cell has 4 carbon atoms

(D) 4 and its unit cell has 4 carbon atoms

The Miller indices of a crystal plane which cuts through the crystal axes at (2a, 3b, c) are

(A) 2, 3, 1

101 2942 (B) 4, 6, 2 (C)

(C) 3, 2, 6

(D) 1/2, 1/3, 1

If the radius of metal atom is 1.0 Å and its crystal structure is simple cubic, the volume of the unit cell is

(A) 8 x10–28 cc

101 2943 (B) 4x10–30 m3 (C)

(C) 8 x 10–30 m3

(D) 2 x 10–24 cc

0.5 M glucose solution has density 1.21 g cm–3. The molality of the solution is

(A) 0.246

101 2944 (B) 0.346 (C)

(C) 0.446

(D) 0.0546

The boiling point of an azeotropic mixture of water-ethanol is less than that of both water and ethanol. This
means that the mixture

(A) shows negative deviation from Raoult’s law
101 2945 (B)
(B) shows positive deviation from Raoult’s law

(C) shows no deviation from Raoult’s law

(D) is not a true solution

The molar conductances at infinite dilution for sodium formate, hydrochloric acid and sodium chloride are 91.0,
426.2 and 126.5 S cm2 mol-1 respectively at 298 K. The molar conductance of acetic acid at infinite dilution
would be

(A) 335.2 cm2 mol–1
101 2946 (D)
(B) 461.7 cm2 mol–1

(C) 217.5 cm2 mol–1

(D) 390.7 S cm2 mol–1

101 2947 The position of some metals in the electrochemical series in decreasing electropositive character is Mg > Al > (D)

Zn > Cu > Ag. The change expected on stirring the solution of aluminium nitrate with copper spoon is

(A) the spoon gets coated with aluminium

(B) any alloy of aluminium and copper is formed

(C) the solution starts turning blue

(D) no reaction occurs

(A)

101 2948 (A)
(B)

(C)

(D)

(A)

(B)
101 2949 (C)

(C)

(D)

The half life of a first order reaction is 12 min. Fraction of the reactant left behind after 1 hr from the beginning
is

(A)

(B)
101 2950 (B)

(C)

(D)