A particle of mass \( m \) is attached to three identical springs \...

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A particle of mass \( m \) is attached to three identical springs \( A, B \) and \( C \) each of force constant \( k \) a shown
\( \mathrm{P} \) in figure. If the particle of mass \( m \) is pushed slightly

W against the spring \( A \) and released then the time period of oscillations is -
(1) \( 2 \pi \sqrt{\frac{2 m}{k}} \)
(2) \( 2 \pi \sqrt{\frac{m}{2 k}} \)
(3) \( 2 \pi \sqrt{\frac{m}{k}} \)
(4) \( 2 \pi \sqrt{\frac{m}{3 k}} \)
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