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A uniform chain of length l and mass m...

A uniform chain of length `l` and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :

A

`1/4 m gl`

B

`1/8 m gl`

C

`1/16 m gl`

D

`1/32 mgl`

Text Solution

Verified by Experts

The correct Answer is:
D
Work done = increase in potential energy of the hanging part = `m/4 cdot g cdot l/8 = (m gl)/(32)`.
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