1. A particle moves on a straight line with a uniform velocity. Its angular momentum

is always zero.

is zero about a point on the straight line.

is not zero about a point on the straight line.

about any given point remains constant.

2. Most of the UV radiation coming towards earth from the Sun is absorbed

by the ozone in the upper stratosphere

by the ozone in the mesosphere

by the ozone in the lower troposphere

by the greenhouse gases in the lower troposphere

3. Which of the following functions of x is an even function?

sin(x)

x

cos(x)

4x^3

4. The outer electronic structure of chromium is:

4s^1 3d^5

4s^2 3d^4

4s^o 3d^6

4s^2 3d^5

5. is the expression for

sech x

coth x

cosh x

Sinh x

6. Two containers, at the same temperature, are separately filled with argon gas and helium gas. Which molecule has higher rms speed?

argon

helium

they have the same speed

there is no such specific relation

7. The temperature at which the saturation vapour pressure is equal to the present vapour pressure is called

melting point

minimum temperature

dew point

triple point

8. The sum of the relative frequencies for all classes in a frequency distribution table will always equal to

the sample size

the number of classes

One

100

9. The measure of location which is the most likely to be influenced by extreme values in the data set is the

range

median

mode

mean

10. Intermolecular hydrogen bonding is not possible in

carboxylic acids

alcohols

water

ethers

11. Soap helps in cleaning clothes because

chemicals of soap change

it increases surface tension of the solution

it lowers the surface tension of the solution

it absorbs dirt

12. Which of the following can pass through 20 cm thickness of steel?

B-rays

y-rays

a-rays

None of the above

13. The measure of dispersion that is influenced most by extreme values is

the variance

the standard deviation

the range

the interquartile range

14. The energy generation in stars is due to

Fusion of light nuclei

Fusion of heavy nuclei

Chemical reactions

Fission of heavy nuclei

15. The half life period of Radium is 1600 years. Its average life time will be

3200 years

800 years

2309 years

4217 years

16. A sealed glass bottle at 27°C contains air at atmospheric pressure atm) and has a volume of 30 cm3. If the temperature of the air is increased up to 200°C without any volume changes of the bottle, the pressure inside the bottle will be

1atm

1.6 atm

0.625 atm

7.4 atm

17. Which one of the following compounds is the most acidic?

CH3COOH

CH3CH20H

CH2ClCOOH

CCl3COOH

18. Faraday constant

depends on the amount of the electrolyte

depends on the current of the electrolyte

depends on the amount of charge passed through the electrolyte

is a universal constant

19. A liquid can easily change its shape but a solid cannot, because

the atoms combine to form bigger molecules in a solid.

the density of the liquid is smaller than that of a solid.

the force between the molecules is stronger in solids than in liquids.

the average separation between the molecules is larger in solids.

20. A researcher says that he measured the acceleration of a particle to be non-zero while no force was acting on the particle.

It is not a true statement.

He might have used a non-inertial frame.

his clock may have run slow.

His meter scale might have been longer than the standard.

21. For water system when three phases are under equilibrium the system is:

univariant

bivariant

zero variant

unvariant

22. Which of the following compounds has a definite dipole moment?

CS2

H20

HgCl2

C2H2

23. The number of significant digits in the number 204.020050 is









24. A "periodic function" is given by a function which

has a period T 2n

satisfies f(t

has a period T 2n

satisfies f(C

25. The law which states that amount of gas dissolved is proportional to its partial pressure is

Boyle's law

Henry's law

Graham's law

Charle's law

26. A function y and its first derivative at x=2 are given as and The first-order Taylor polynomial is generated by y at x=2 is

1+3x





1-3x

27. The first law of thermodynamics is a statement of conservation of

work

heat

energy

momentum

28. Consider the following two statements:

Line spectra contain information about atoms

Band SpeCl"a contain information about molecules

Both and are correct.

Both and are wrong.

Only is correct.

Only is correct.

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

the mass of the satellite

radius of the orbit.

neither nor

both and

30. The engine of a train sounds a whistle at a frequency a. The frequency heard by the driver of 5 the engine is

a

a



1/a

31. Newton's law of cooling is a special case of

Wein's displacement law

Stefan's law

Plank's law

Kirchoff slow

32. For a function z x^2 the point is

a critical point, but not a local extremum

a critical point, and a local maximum

not a critical point

a critical point, and a local minimum

33. The primary precursor of tropospheric ozone formation are

VOCs and NOx

CO2 and NOx

NO and N02

SOx and VOCs

34. If 4x/x-3 then the following line is the vertical asymptote

x 12

x 3

x=l

x

35. A normal eye is not able to see the objects closer than 25 cm because

the eye is not able to decrease the distance between the eye-lens and retina beyond a limit.

the focal length of the eye is 25 cm

the eye is not able to decrease the focal length beyond a limit.

the distance of the retina from the eye-lens is 25 cm.

36. Integral 2^x dx (limits to is

0

2

4.328

2.164

37. The strength of photo-electric current depends on

Frequency of incident radiation

Intensity of incident radiation

Angle of incidence of radiation

Distance between anode and cathode

38. The iron present in haemoglobin is in

ferrous state

ferric state

metallic state

none of the above

39. The cofactors of 9 and 7 in the matrix A is

3 2 7
9 1 0
3 2

-11

-12&11

11

11&12

40. A vertical wire carries a current in upward direction. An electron beam sent horizontally towards the wire will be deflected

towards right

towards left

upwards

downwards

41. One of the following is not a greenhouse gas

carbon dioxide

methane

Argon

Ozone

42. In its standardized form, the normal distribution

has a mean of 0 and a standard deviation of 1.

has a variance 0 and mean 1

area under the curve is 0.50

mean, median and mode are equal to one

43. The frequency of radio waves is

between 500 kHz to about 1000 MHz

in Gigahertz range

between 10^19to 10^23 Hz

between 10^l4 to 10^15 Hz

44. A plane mirror produces a magnification of



Zero

Between 0 and +00



45. The average value of the function t^2 across is

2

5

13

3

46. Which of the following statements about ozone is true?

Ozone is a major constituent of photochemical smog

Ozone is high reactive

Ozone protects us from the harmful UV radiation of sun

All of the above

47. One of the following sequences, considered from left to right, cannot form the cold junction of a thermocouple. Identify.

constantan-bismuth

zinc-copper

gold-iron

aluminium-mercury

48. Which of the following is not a sugar?

Cane sugar

Lactose

Starch

Fructose

49. If z=cosa-+-jsina,

z 1/z 2cosa

z 1/z cosa

z 1/z =2j sina

z 1/z sina

50. When the rate of reaction, r the reaction is said to

first order with respect to B

second order with respect to A

third order overall

all of the above are correct

51. The process in which heat is neither allowed to enter nor allowed to leave the system but in which temperature change is known as

isothermal

adiabatic

exothermic

isobaric

52. lim cosx-1/x^2 equals to





0

1/2

53. A uniform sphere of mass 200 g rolls without slipping on a plane surface so that its centre moves at a speed of 2 cm/s. Its kinetic energy will be

5.6 X J

4.0 X J

1.6 X J

None of the above

54. Which of the following is NOT an important property of the electric charges?

Unlike charges attract one another.

Electric charge is not always conserved.

Charge is quantized.

The force between the charged particles vanes as the inverse square of their separation.

55. In an exothermic reaction, heat is

absorbed

converted to electric work

evolved

converted to mechanical work

56. Which of the following is a state function?

Enthalpy

Internal energy

Radioactive energy

Heat energy

57. The Mclaurin series for e^x is expressed as

<img src='./qimages/16035-57.jpg'>

58. The amount of salt present in 1 kg of sea water is:

35 g

3.5 g

35 mg

3.5 mg

59. Most abundant constituent of dry air in terms of volume is:

oxygen

nitrogen

carbon dioxide

ozone

60. A circuit provides a current of 20 A at an operating voltage of 120 V. How many 75-W bulbs can operate with this voltage source?

32

6

64

20

61. In a standing wave one of the following does not apply

all particles between two successive nodes reach their extreme positions together.

different particles move with different amplitudes.

all particles do not cross their mean positions together.

energy of one region is confined in that region

62. and CH2CI·CH2CI show which type of isomerism?

Functional

Chain

Position

Metamerism

63 Lct the matrices A is

1
2 0
8 3 and B is

2 0
1 then

AB is not defined

Both BA and AB are not defined.

Both AB and BA are defined, and are equal

BA is not defined.

64. When the data are skewed to the right, the measure of Skewness will be

negative

zero

positive

Three

65. Which of the following is the chemical formula for calcite?

CaC03

CaMgS04

FeC03

FeS2

66. A parallel beam of monochromatic light of wavelength 450 nm passes through a long slit of 0.2 mill. The angular divergence through which the light is diffracted is

4.5 X rad

2.25 X rad

4.444 X 10^6 rad

2.222 X 10^6 rad

67. A pendulum has a period of 3.0s in its inertial frame. Its period when measured by observer moving at speed of 0.95c with respect to the pendulum, where c is the speed of a light pulse is

3s

3.95 s

3/9.8 s

9.6s

68. The value of a correlation is reported by a statistician to be r -0.6. Which of the following statements is correct?

The x-variable explains 36% of the variability in the y-variable.

The x-variable explains 60% of the variability in the y-variable.

The x-variable explains of the variability in the y-variable.

The x-variable explains of the variability in the y-variable.

69. log2 14 equals

log10 14

log10 2

log10 14/log10 2

log10 2/log10 14

70. If the amplitude of a system moving in simple harmonic motion is doubled, which of the following does not change?

total energy

period

maximum acceleration

maximum speed

71. The light from the Sun has maximum intensity near 470 X m. Assuming that the surface of Sun emits as a black body, the temperature of the sun would be 6130 K following

Stefan-Boltzmann Law

Faraday's Law

Kirchoff sLaw

Wein' s displacement Law

72. A steam engine in London has a boiler that operates at 500 converting water into steam. The temperature of the exhaust is that of the outside air, about 300 K. The maximum thermal efficiency of the engine is

40%

4.8%

100%

138%

73. One of the following statements is FALSE. Identify.

Electromagnetic waves travel at the speed of light.

Electromagnetic waves are transverse waves.

Electromagnetic waves carry both energy and momentum.

The ratio of electric field to the magnetic filed in an electromagnetic wave equals half­ speed of light.

74. If a=3i-2j+k and then b-a is

5i-3j+6k

sqrt(70)

-5i+3j-6k

sqrt(14)

75. Jacobi's method is also known as

Displacement method

Simultaneous displacement method

Simultaneous method

Diagonal method

76. Mathematically, what is a differential?

Difference between two quantities.

A gear box on the back end of your car.

A method of directly relating how changes in an independent variable affect changes in a dependent variable.

A method of directly relating how changes in a dependent variable affect changes in an independent variable.

77. Does have an inflection point? If so, where is it located?

Yes, at

Yes, at

Yes, at

No

78. The 2nd derivative of a function at point P is and concavity is positive for values to the right of P. What must the concavity be to the left of P for P to be an inflection point?

The concavity must also be positive.

The concavity must be negative.

The concavity must be neutral

The concavity must be imaginary.

79. Newton forward interpolation formula is used for intervals.

open

unequal

equal

closed

80. If two equally likely events A and B are mutually exclusive, what is the probability that event A occurs?

0.50

1.00

0.0

0.25

81. lim is

72/1+sqrt(3)



Does not exist

0

82. Divergence of a the curl of a vector Y is

V

0

V^2

VV

83. The high reactivity of fluorine is due to

its high electro negativity

small size of fluorine atom

availability of d-orbitals

strong F bond

84. The physical quantity that has no dimensions

Angular Velocity

Angular momentum

Linear momentum

Strain

85. The mass of one Avogadro number of helium atom is

1.00 gr

4.00 gr

8.00gm

4x6.02x10^23gr

86. The points and represents the vertices of a triangle

Equilatertal

scalene

Right angled

Isosceles

87. The potential of a hydrogen electrode at pH 10 is

0.59 V

O.OOV

-0.59 V

-0.059 V

88. Determinant of n x n unit matrix is









89. If y x.sinx, then is

sinx -cosx

sinx cosx

1-cosx

sinx-xcosx/x^2

90. Which of the following molecules/ions does not contain unpaired electrons?



B2

N2+

O2

91. Keeping more extreme values in a distribution, the standard deviation will

reduce

increase

no affect

none

92. There is no atmosphere on the moon because

it is closer to the earth

it revolves round the earth

it gets light from the sun

the escape velocity of gas molecules is less than their root mean square velocity

93. A satellite is revolving around the sun in a circular orbit with uniform velocity v. If the 5 gravitational force suddenly disappears, the velocity of the satellite will be

zero

v

2v

infinity

94. The sum of the cubes of first 9 natural numbers is

45

2025

91125

13125

95. A cylinder rolls without slipping down an inclined plane, the number of degrees of freedom it has, is









96. Newton's first law of motion describes the following

Energy

Inertia

Work

Moment of inertia

97. The magnetic moment of a circular coil carrying current is

Directly proportional to the length of the wire in the coil

Directly proportional to the square of the length of the wire in the coil

Inversely proportional to the length of the wire in the coil

Inversely proportional to the square of the length of the wire in the coil

98. A separable solution for a partial differential equation for is a solution which is

a product of a function of x and a function of t

a sum of a function of x and a function oft

an infiminte sum of products of functions of x and functions of t

either a function only of x or a function only of t

99. Select the pair whose dimensions are same

Pressure and stress

Pressure and force

Stress and strain

Power and force

100. The convergence of which of the following method is sensitive to starting value?

False position

Gauss seidal method

Newton-Raphson method

All of these