Two springs with negligible masses and force constants `k_1=200(N)/(m)` and `K_2=160(N)/(m)` are attached to the block of mass `m=10kg ` as shown in the fig. Initially the block is at rest, at the equilibrium position which both springs are neither stretched nor compressed. At time `t=0`, sharp impulse of `50Ns` is given to the block with a hammer along the spring.

Options

A. Period of oscillations for the mass m is `pi/6` s
B. Maximum velocity of the mass m during its oscillation is `10 ms ^(-1)`
C. Data are insufficient to determine maximum velocity
D. Amplitude of oscillation is 0.83 m

Answer

D