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Two blocks each of mass m are connected with springs each of force constant fr as shown in the Fig. Initially the springs are relaxed. The mass A is displaced to the left and ^B to the right by the same amount and released, then the time period of oscillation is:
 

a
2πmk
b
2πm2k
c
πmk
d
πm2k

detailed solution

Correct option is C

After collision the blocks come to rest as moving with equal velocities in opposite directions. So each mass complete half oscillation.T'=T2=πmk

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Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the-combination is given by:


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