Two Bodies M and N of Equal Masses Are Suspended From Two Separate Springs Of Force Constants k1 and k2 respectively. If They Oscillate With Equal Maximum Velocities, The Amplitudes Of M and N will Be The Ratio Of

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Question

Two bodies M and N of equal masses are suspended from two separate springs of force constants k1 and k2 respectively. If they oscillate with equal maximum velocities, the amplitudes of M and N will be the ratio of

Solution

Correct option is

 

The angular frequencies of the simple harmonic motions of M and Nrespectively are

                         

The maximum velocities of M and N respectively are, V1 = A1ω1 and V2 =A2ω2V1 = V2 if A1ω1 = A2ω2, or

                       

From (i) and (ii) we get  .

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