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Sample IIT JEE Worksheet Questions

1.

The compressibility factor (Z) of an ideal gas is always 

1.

0

2.

1

3.

>1

4.

<1

2.

A body is resting on the surface of earth. At this time the accelation experienced by the body is 

1.

0 because it is not in state of motion. 

2.

9.8 m/s^2 

3.

9.8 m/s^2 downward and this accelaration is the reason for the weight of the Body 

4.

The body experiences 9.8 m/s^2 accelartion upwards. 

3.

The radius vector of point x relative to origin varies with time as
r=a cos(kt)i+b sin(kt)j
Where a and b are constants and i and j are vectors along x and y axis. Which one of the following is the mean velocity vector?

1.
  1. [a cos(kt)- b sin(kt)j]/t
2.
  1. [a cos(kt)+ b sin(kt)j]
3.
  1. [a cos(kt)- b sin(kt)j]
4.
  1. [a cos(kt)+b sin(kt)j]/t
4.

When NaCl dissolved in water 

1.

Hydrolysed 

2.

Oxidised 

3.

Reduced 

4.

Hydrated

5.

Oxidation number of P in phosphorus acid is

1.

+3

2.

+4

3.

+5

4.

-3

6.

Reaction between sodium and water is a

1.

Redox reaction 

2.

Reduction 

3.

Oxidation 

4.

Neutralisation 

7.

The best and latest technique for isolation, purification and separation of organic compounds is:

1.

Crystallisation

2.

Distillation

3.

Sublimation

4.

Chromatography

8.

An object placed at rest at a distance 'r' from Sun will fall towards it with an acceleration: (r >>> radius of sun)

1.

v²/r, where v = orbital speed of earth and r is distance of earth/object from sun.

2.

GM/r², where G is universal constant of gravitation and M is mass of sun.

3.

GM/r, where G is universal constant of gravitation and M is mass of sun.

4.

independent of mass of the object.

9.

Length of a simple pendulum is 2m and mass of its bob is 0.2 kg. If the tension in the string exceeds 4N, it will break. If the bob is whirled in horizontal plane, the maximum angle the string can make with vertical during rotation is

1.

30 deg

2.

45 deg

3.

60 deg

4.

90 deg

10.

Two metal balls of equal mass (100 g) are separated by a distance (d). In state 1, shown in the figure, the left ball has a charge of +20 µC, while the right ball has a charge of –20 µC. In state 2, both balls have an identical charge of –40 µC.

An experimenter claims that he took the balls from state 1 to state 2 without causing them to contact anything other than each other. Which of the following statements provides correct evidence for the reasonability of this claim?

1.

The claim is not reasonable, because there was more net charge in the two-ball system in state 2 than in state 1.

2.

The claim is not reasonable, because there was identical charge on each ball in state 2.

3.

 The claim is reasonable, because in both states, each ball carried the same magnitude of charge as the other.

4.

The claim is reasonable, because the positive charge in state 1 could have been canceled out by the available negative charge.

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