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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 black. The spring is then compressed by 2x0  and released. The time taken to strike the wall is 

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a
16πkm
b
km
c
2π3mk
d
π4km

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detailed solution

Correct option is C

The total time from A to CtAc=tAB+tBC=(T/4)+tBCwhere T = time period of oscillation of spring mass system tBC  can be obtained from,  BC=ABsin(2π/T) tBCPutting BCAB=12  we obtain  tBC=T12⇒tAC=T4+T12=2π3mk.

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