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Test consist of 60 questions and the marking system is +3 for right and -1 for wrong answer.

60 Question

1.

A.

B.

C.

D.

2.
Which of the following equations can be dimensionally incorrect.( Symbol have their usual notations.)

A.

B.

C.

D.

3.
A wire can support a maximum load of W. If the wire is cut in 2 equal parts and joined in parallel, what is the maximum load it can now support.

A.
W

B.
2W

C.
W/2

D.
4W

4.

A.
0.004 cm

B.
0.001 cm

C.
0

D.
0.002 cm

5.

A.
1/3sec

B.
2/3 sec

C.
3/2 sec

D.
never

6.
A trolley is accelerating down an incline of angle q with acceleration g sinq. Which of the following is correct. (a is the angle made by the string with vertical).

A.
a = q

B.

C.
Tension in the string, T = mg

D.
Tension in the string, T = mg sec q

7.
The mass of the body that was moving faster before the collision is ________ that of other body.

A.
greater than

B.
less than

C.
equal to

D.
greater or less than

8.
Equal volumes of two immiscible liquids of densities r and 2r are

A.

B.

C.

D.

9.
A train of sound waves is propagated along a wide pipe and it is reflected from an open end. If the amplitude of the wave is 0.002 cm, the frequency 1000 Hz and the wavelength 40 cm, the amplitude of vibration at a point distance 10 cm from open and inside the pipe will be

A.
0.004 cm

B.
0.001 cm

C.
0

D.
0.002 cm

10.
Which of the following is correct about kinetic friction?

A.
Always acts in opposite direction of the applied force.

B.
total work done by this force on the system may be zero.

C.
direction of friction is always apposite to direction of velocity.

D.
it can increase velocity.

11.
A block of mass m sliding down an incline at constant speed is initially at a height h above the ground, as shown in the figure above. The coefficient of kinetic friction between  the mass and the incline is m. If the mass continues to slide down the incline at a constant speed, how much energy is dissipated by friction  by the time the mass reaches the bottom of the incline?

A.
mgh/m

B.
mgh

C.
mmgh/sinq

D.
mgh sinq

12.

A.

B.

C.

D.
0

13.
The average acceleration of the body from t = 0 to t = 15 s is

A.

B.

C.

D.

14.
In the figure shown, the speed of the truck is v to the right. The speed with which the block is moving up at q = 60° is

A.
v

B.
2v/3

C.
3v/3

D.
none

15.
Which of the following forces cannot be a resultant of 5N force and 7N force?

A.
2N

B.
10N

C.
14N

D.
5N

16.
A uniform wire of length L and mass M is stretched between two fixed points, keeping a tension F. A sound of frequency m is impressed on it. Then the maximum vibrational energy is existing in the wire when m=

A.

B.

C.

D.

17.

A.
3

B.
2

C.
1:2

D.
1:3

18.
If P is the pressure of a gas and r is its density, then dimension of velocity is given by

A.

B.

C.

D.

19.
A pipe open at both ends has a fundamental resonant frequency = f. One-third length of the pipe is now immersed in a dense liquid, while the upper end is kept open. The new fundamental frequency of the air column in the pipe will be

A.
3f

B.
2f/3

C.
f/3

D.
3f/4

20.
A uniform rod having length L, is made of material having density r and young's modulus Y. It is placed between two vertical walls having separation L and coefficient of friction m. What  minimum thermal strain should be generated in the rod by heating it so that it does not falls down on releasing.

A.

B.

C.

D.
None

21.
The wavelength of spectral line for an electronic transition is inversely related to:

A.
number of electrons undergoing transition.

B.
nuclear charge of the atom.

C.
the velocity of electron undergoing transition.

D.
the difference in energy levels involved in the transition.

22.

A.
x = y

B.

C.
x = 2y

D.
None of these

23.
Ketones do not reduce Fehling’s solution and Tollen’s reagent, but fructose with a keto group reduces both of them. This is due to
Lobry de Bruyn-Van Ekenstein rearrangement.

A.
1, 2

B.
3, 4

C.
1, 2, 3

D.
2, 3

24.

The product (D) obtained from the given reaction sequence is

A.

B.

C.

D.

25.

A.

B.

C.

D.

26.
An ideal monoatomic gas is taken round the cycle ABCDA as shown in figure. The work done during the cycle is

A.
–PV

B.
–2PV

C.

D.
Zero

27.
Which of the following ions has maximum magnetic moment?

A.

B.

C.

D.

28.

A.
0

B.
1

C.
1.5

D.
2

29.

A.

B.

C.

D.

30.
Which of the following compounds does not give nitrogen on heating?

A.

B.

C.

D.

31.
The vapour pressure of two pure liquids (A) and (B) are 100 and 80 torr respectively.The total pressure of solution obtained by mixing 2 mole of (A) and 3 mole of (B) would be

A.
120 torr

B.
36 torr

C.
88 torr

D.
180 torr

32.
How many six fold axis of symmetry does a hyexagonal closed packing have

A.
2

B.
3

C.
1

D.
4

33.

A.

B.

C.

D.

34.
In NaCl the centres of two nearest like-charged ions are at a distance of from each other

A.

B.

C.

D.

35.

A.

B.

C.

D.

36.
Which of the following solution would acts as the best buffer?

A.

B.

C.

D.

37.
The end product (major) in the following reaction is

A.

B.

C.

D.

38.
Rectified spirit obtained by fermentation process contains 4.5% of water. In order to remove water, rectified spirit is mixed with a suitable quantity of benzene and then heated. Benzene helps because

A.
it is dehydrating agent and so removes water.

B.
it forms the lower layer which retains all the water so that alcohol can be distilled off.

C.
it forms an azeotropic mixture with water having high boiling point and thus allows the alcohol to distill over.

D.
it forms a low boiling azeotropic mixture with water which distills over, leaving behind pure alcohol which can then be distilled.

39.
Which of the following methods can be used for resolution?

A.
Distillation

B.
fractional crystallisation

C.
Both of these

D.
None of these

40.

A.

B.

C.

D.
both (b) and (c)

41.

A.

B.

C.

D.

42.

A.
(10,10)

B.

C.
(-10,0)

D.

43.

A.

B.
(–1, 0)

C.

D.

(–1, 2)

44.

A.
symmetric matrix

B.
skew symmetric matrix

C.
orthogonal matrix

D.
unit matrix

45.

A.

B.

C.

D.

46.

A.
1000

B.

C.
800

D.
none of these

47.

A.

B.
5

C.
11

D.
13

48.

A.
( 1, 6 )

B.
( 2, 6 )

C.
( 1, 1 )

D.
( 2, 1 )

49.

A.
3

B.
1

C.
2

D.
4

50.

A.

B.

C.

D.
none of these

51.

A.
4

B.

C.
0

D.
-4

52.

A.

B.

C.
both (a) and (b) correct

D.
none of these

53.

A.

B.

C.

D.

54.

A.
2

B.
3

C.
4

D.
0

55.

A.

B.

C.

D.
none of these

56.

A.

B.

C.

D.
none of the above

57.

A.

B.

C.

D.
none of these

58.

A.

B.

C.

D.

59.

A.

B.

C.

D.

60.
Three different dice are rolled three times. The probability that they show different numbers only two times is

A.

B.

C.

D.

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