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