A body of mass \( m \) hangs from three springs, each of spring constant \( k \) as shown in...

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A body of mass \( m \) hangs from three springs, each of spring constant \( k \) as shown in the figure. If the mass is slightly displaced and let go, the system will oscillate with time period
(a) \( 2 \pi \sqrt{\frac{m}{3 k}} \)
(b) \( 2 \pi \sqrt{\frac{3 m}{2 k}} \)
(c) \( 2 \pi \sqrt{\frac{2 m}{3 k}} \)
(d) \( 2 \pi \sqrt{\frac{3 k}{m}} \)
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