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Question: A uniform chain of length 2m is held on a smooth horizontal table so that half of it hangs over the ...

A uniform chain of length 2m is held on a smooth horizontal table so that half of it hangs over the edge. If it is released from rest, the velocity with which it leaves the table will be nearest to

A

2 m/s

B

4 m/s

C

6 m/s

D

8 m/s

Answer

4 m/s

Explanation

Solution

v=gL(1−1n2)v = \sqrt { g L \left( 1 - \frac { 1 } { n ^ { 2 } } \right) } =10×2(1−1(2)2)= \sqrt { 10 \times 2 \left( 1 - \frac { 1 } { ( 2 ) ^ { 2 } } \right) } =15=3.87= \sqrt { 15 } = 3.87 ≃ 4 m/s (approx.)