A particle of mass m is attached to three identical springs A, B and C each of force constant k a shown in figure.

Q: A particle of mass m is attached to three identical springs A, B and C each of force constant k a 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

Numerical

(a) $ \displaystyle 2\pi \sqrt{\frac{2 m}{k}} $

(b) $ \displaystyle 2\pi \sqrt{\frac{ m}{2 k}} $

(c) $ \displaystyle 2\pi \sqrt{\frac{ m}{k}} $

(d) $ \displaystyle 2\pi \sqrt{\frac{ m}{3 k}} $

Ans: (b)