A smooth semicircular tube $AB$ of radius $R$ is fixed in a verticle plane and contain a heavy flexible chain of length $\pi R$ . Find the velocity $v$ with which it will emerge from the open end $'B'$ of' tube, when slightly displaced
A smooth semicircular tube $AB$ of radius $R$ is fixed in a verticle plane and contain a heavy flexible chain of length $\pi R$ . Find the velocity $v$ with which it will emerge from the open end $'B'$ of' tube, when slightly displaced
- A
$\sqrt {2gR\left( {2\pi \, + \,2/\pi } \right)} $
- B
$\sqrt {\frac{{gR}}{2}\left( {\frac{\pi }{4} + 4\pi } \right)} $
- C
$\sqrt {2gR\left( {\frac{2}{\pi } + \frac{\pi }{2}} \right)} $
- D
$\sqrt {gR\left( {\pi + \frac{1}{\pi }} \right)} $
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