Four massless springs whose force constants are \( 2 \mathrm{k}, 2 \mathrm{k}, k \) and \( 2 \ma...

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Four massless springs whose force constants are \( 2 \mathrm{k}, 2 \mathrm{k}, k \) and \( 2 \mathrm{k} \) respectively are attached to a
mass \( M \) kept on a frictionless plane (as shown in Fig. \( 14(\mathrm{CF}) .11 \). If the mass \( M \) is displaced in the horizontal direction a little and left, then the frequency of the system is
(A) \( \frac{1}{2 \pi} \sqrt{\frac{k}{4 M}} \)
(B) \( \frac{1}{2 \pi} \sqrt{\frac{4 \mathrm{k}}{\mathrm{M}}} \)
(C) \( \frac{1}{2 \pi} \sqrt{\frac{k}{7 \mathrm{M}}} \)
(D) \( \frac{1}{2 \pi} \sqrt{\frac{7 k}{M}} \)
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