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Sample IIT JEE Worksheet Questions

1.

1. The largest integer $n$ for which $n+5$ divides $n^5+5$ is

1.

3115

2.

3120

3.

3125

4.

3130

2.

In which Mode of expression, the concentration of a solution remain independent of temperature

1.

Molarity

2.

Normality

3.

formality

4.

Molality

3.

Volume of 20g of Hydrogen gas at NTP is ?

1.

22.4L

2.

224L

3.

11.2L

4.

112L

4.

Which has maximum number of atoms ?

1.

24g of c(12)

2.

56g of Fe(56)

3.

27g of Al(27)

4.

108g of Ag(108)

5.

if velocity of fluid is zero accleration of fluid is also zero

1. True 2. False
6.

what is the x-component of reaction and y-component of reaction for force F1

1.

F1cos25& F1sine 25

2.

F1sin25 & F1cos 25

3.

F1cos50& F2sine 50

4.

zero

7.

For the circuit shown, which of the following statements is true?

1.

With S1 closed, V1 = 15 V, V2 = 20V

2.

With S3 closed, V1 = V2 = 25V

3.

With S1 and S2 closed, V1 = V2 = 0

4.

With S1 and S3 closed, V1 = 30 V, V2 = 20 V

8.

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.

1.

a potential difference appears between the two cylinders when a charge density is given to the inner cylinder

2.

a potential difference appears between the two cylinders when a charge density is given to the outer cylinder

3.

no potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders

4.

no potential difference appears between the two cylinders when same charge density is given to both the cylinders.

9.

Two equal negative charges –q are fixed at points (0, -a) and (0, a) on y-axis. A positive charge Q is released from rest at the point (2a, 0) on the x-axis. The charge Q will:

1.

execute simple harmonic motion about the origin

2.

move to the origin and remain at rest

3.

move to infinity

4.

execute oscillatory but not simple harmonic motion

10.

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10V. The potential at the centre of the sphere is:

1.

zero

2.

10 V

3.

same as at a point 5 cm away from the surface

4.

same as at a point 25 cm away from the surface

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