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A 2 kg block moving with 10m//s strikes ...

A `2 kg` block moving with `10m//s` strikes a spring of constant `pi^(2)N//m` attached to `2Kg` block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be-

A

(a)`sqrt(2)s`

B

(b)`(1)/(sqrt(2))s`

C

(c)`1 s`

D

(d)`1/2 s`

Text Solution

Verified by Experts

The correct Answer is:
C
Both the blocks remains in contact unitl the spring is in compression. In this time system complete half oscillation. By reduced mass concept time period of system
`T = 2pisqrt((mu)/(k)) = 2pisqrt((1)/(pi^(2))) = 2s`
`rArr` Required time `= T/2 = 2/2 = 1s`
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