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

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

Text Solution

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The correct Answer is:
A, C, D
The given distance on RHs 5cm is `(A)/(2)` and from `0` to `(A)/(2)` time taken is `(T)/(12)`.
`T = t_(LHS) + t_(RHS) = (T)/(2) + 2 ((T)/(12))`
`= (2)/(3)T = (2)/(3)(2pi)sqrt((m)/(k))`
`= (4pi)/(3)sqrt((0.1)/(100)) = 0.133 s`
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