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Two bodies M and N of equal masses arc suspended from two separate mass less springs of spring constants k1  and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitudes of M to that of N is

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a

k1 / k2

b

k1/k2

c

k2 / k1

d

k2/k1

answer is D.

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Detailed Solution

a1ω1=a2ω2=vmax ω1=k1m  and  ω2=k2m ∴ a1a2=ω2ω1=k2k1
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Two bodies M and N of equal masses arc suspended from two separate mass less springs of spring constants k1  and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitudes of M to that of N is