A block of mass \( m \) compresses a spring of stiffness \( \mathrm{k} \) through a distance \( ...

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A block of mass \( m \) compresses a spring of stiffness \( \mathrm{k} \) through a distance \( \ell / 2 \) as shown in the figure. If
\( \mathrm{P} \) the block is not fixed to the spring, the period of W motion of the block is :- (Assume that collision between block and verticle wall is perfectly elastic)
(1) \( 2 \pi \sqrt{m / k} \)
(2) \( (\pi+4) \sqrt{m / k} \)
(3) \( (1+\pi) \sqrt{\mathrm{m} / \mathrm{k}} \)
(4) None of these
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