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Question

One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance x0 from the block. The spring is then compressed by 2x0 and released. The time taken to strike the wall is

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Solution

The correct option is **C**

The total time from A to C

=tAC=tAB+tBC=(T4)+tBC

where T = time period of oscillation of spring - mass system

tBC can be obtained from, BC=ABsin(2πT)tBC

putting BCAB=12 we obtain tBC=T12⇒tAC=T4+T12=2π3√mk

The total time from A to C

=tAC=tAB+tBC=(T4)+tBC

where T = time period of oscillation of spring - mass system

tBC can be obtained from, BC=ABsin(2πT)tBC

putting BCAB=12 we obtain tBC=T12⇒tAC=T4+T12=2π3√mk

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