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Two springs with negligible masses and f...


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.

A

Period of oscillations for the mass `m` is `(pi)/(3)s`.

B

Maximum velocity of the mass `m` during its oscillation is `5 ms^(-1)`.

C

Data are insufficient to determine maximum velocity.

D

Amplitude of oscillation is `0.42 m`.

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The correct Answer is:
A, B
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