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A block of mass 100 g attached to a spri...

A block of mass `100 g` attached to a spring of stiffness `100 N/m is` lying on a frictionless floor as shown. The block is moved to compress the spring by `10 cm` and released. If the collision with the wall is elastic then find the time period of oscillations.

A

0.2 s

B

0.1 s

C

0.15 s

D

0.132 s

Text Solution

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The correct Answer is:
D
(d) `T=2pisqrt((m)/(k))=2pisqrt((0.1)/(100))=0.198 s`
From `x=A"sin"omegat` or `5=10 "sin"omegat`
`omegat=(pi)/(6)` or `(2pi)/(T)t=(pi)/(6)` or `2t=(T)/(6)`
The desired time in the question will be `(T)/(2)+2t`
or `(T)/(2)+(T)/(6)=(2T)/(3)=((2)/(3))(0.198)=0.132 s`
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