Q.

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

answer is C.

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Detailed Solution

The total time from A to CtAC = tAB+tBC      = (T4)+tBCwhere T = time period of oscillation of spring mass systemtBC can be obtained from, BC = AB sin (2πT)tBCPutting BC AB = 12 we obtain tBC = T12⇒tAC = T4+T12 = 2π3mk.
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