set 5 MCQ Questions & Answers Detailed Explanation

Question : 1

A particle oscillates in one dimension about the equilibrium position subject to a force $F_x$(x) that has an associated potential energy U(x). If k is the force constant, which one of the following relations is true?

a) U(x) = $1/2$kx

b) $F_{x}(x) = –kx$

c) $F_{x}(x) = –kx^2$

d) U(x) =$1/2k^2x$

Question : 2

If the earth stops rotating about its axis, the acceleration due to gravity will remain unchanged at

a) latitutde 60°

b) latitude 45°

c) equator

d) poles

Question : 3

If suddenly the gravitational force of attraction between the earth and a satellite revolving around it becomes zero, then the satellite will

a) become stationary in its orbit

b) move tangentially to the original orbit with same speed

c) continue to move in its orbit with same speed

d) move towards the earth

Question : 4

Statement A :
While walking on ice, one should take small steps to avoid slipping.
Statement B :
This is because smaller steps ensure smaller friction.

a) Both statements are correct.

b) Statement B is correct.

c) Statement A is correct.

d) Both statements are incorrect.

Question : 5

Consider the following statements :

1. A body can have constant velocity and still have varying speed.
2. A body falls freely from a height with uniform acceleration.

a) 1 and 2 both

b) 1 only

c) 2 only

d) None

Question : 6

There is no atmosphere on the moon because

a) escape velocity of gas molecules is greater than their root mean square velocity.

b) it is too for from the sun and has very low pressure in its outer surface.

c) it is closer to the earth and also it has the inactive inert gases in it.

d) escape velocity of gas molecules is less than their root mean square velocity.