In the device shown in Fig, the block `m` is displaced down slightly and released. It starts oscillating. Pulleys are smooth and massless string and springs are also massless. Find time period of oscillations.

Options

A. `2pi s`
B. `4pi s`
C. `10 pi s`
D. `pi s`

Answer

C

Explanation

The given system is equivalent to

`K_(2)^(1) =(K_(2))/(4), K_(eff) = (K_(1)K_(2))/(K_(1)+K_(2)) ,T = 2pi sqrt((m)/(K_(eff)))`