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A particle of mass \( m \) is attached to three identical springs \( A, B \) and \( C \) each of force constant \( k \) as shown in figure. If the particle of mass \( m \) is pushed slightly against the spring \( A \) and released then the time period of oscillations is [WB-JEE 2010]
\( \mathrm{P} \)
(a) \( 2 \pi \sqrt{\frac{2 m}{k}} \)
(b) \( 2 \pi \sqrt{\frac{m}{2 k}} \)
(c) \( 2 \pi \sqrt{\frac{m}{k}} \)
(d) \( 2 \pi \sqrt{\frac{m}{3 k}} \)
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