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AIPMT MAINS2011Physics-Circular Motion

AIPMT MAINS 2011 Physics Kinetic Energy MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will

Question diagram
A

Increase by a factor of 4

B

Decrease by a factor of 2

C

Remain constant

D

Increase by a factor of 2

Correct Answer

Option A

Detailed Explanation

The kinetic energy is proportional to the square of the velocity. As the radius decreases by a factor of 2, the velocity doubles, leading to an increase in kinetic energy by a factor of 4.

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