A uniform chain of length $2$ m is kept on a table such that a length of $60$ cm hangs freely from the edge of the table. The total mass of the chain is $4$ kg. What is the work done in pulling the entire chain on the table?

7.2

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3.6

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120

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1200

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Solution

The correct option is B $3.6$ J
$\begin{matrix} F r a c t i o n o f l e n g t h o f t h e c h a i n h a n g i n g f r o m t h e t a b l e - = \frac{1}{n} = \frac{60 c m}{200 c m} = \frac{3}{10} n = \frac{10}{3} W o r k d o n e i n p u l l i n g t h e c h a i n o n t h e t a b l e - W = \frac{m g l}{2 n^{2}} = \frac{4 \times 10 \times 2}{2 \times {⎛ ⎝ \frac{10}{3} ⎞ ⎠}^{2}} = 3.6 J \end{matrix}$
Hence,
option $(B)$ is correct answer.

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