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A block (B) is attached to two unstretched springs \( S_{1} \) and \( S_{2} \) with spring constants \( \mathrm{k} \) and \( 4 \mathrm{k} \), respectively (see figure I). The other ends are attached to identical supports \( M_{1} \) and \( M_{2} \) not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block \( B \) is displaced towards wall 1 by a small distance \( x \) (figure II) and released. The block returns and moves a maximum distance \( y \) towards wall 2. Displacements \( x \) and \( y \) are measured with respect to the equilibrium position of the block \( B \). The ratio \( \frac{y}{x} \) is
[IIT-JEE 2008]
(a) 4
(b) 2
(c) \( 1 / 2 \)
(d) \( 1 / 4 \)
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