Four massless springs whose force constants are \( 2 k, 2 k \), \( k \) and \( 2 k \) respective...

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Four massless springs whose force constants are \( 2 k, 2 k \), \( k \) and \( 2 k \) respectively are attached to a mass \( M \) kept on a
\( \mathrm{P} \) frictionless plane (as shown in figure). If the mass \( M \) is displaced

W in the horizontal direction, then the frequency of the system.
(A) \( \frac{1}{2 \pi} \sqrt{\frac{k}{4 M}} \)
(B) \( \frac{1}{2 \pi} \sqrt{\frac{4 k}{M}} \)
(C) \( \frac{1}{2 \pi} \sqrt{\frac{k}{7 M}} \)
(D) \( \frac{1}{2 \pi} \sqrt{\frac{7 k}{M}} \)
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