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Question

Two bodies M and W of equal masses are suspended from two separate massless springs of force constants k1 and k2respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude M to that of N is

A
k1k2
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B
k1k2
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C
k2k1
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D
k2k1
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Solution

The correct option is D k2k1
maximavelocityintheoscillationisgivenasVmax=AwVmax1=Vmax2A1w1=A2w2A1A2=w2w1k1=mw21,k2=mw21A1A2=   k2mk1m=k2k1Hence,theoptionDisthecorrectanswer.

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