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15

Two bodies **A** and **B** of equal mass are suspended from two separate massless springs of spring constant k_{1} and k_{2} respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of **A** to that of **B** is

The maximum velocity is aω in the S.H.M.

Let for body **A**, the amplitude is and the angular frequency

And for the body **B** the amplitude is and the angular frequency

Since it is given that the maximum velocities are equal.

So we can write,

Hence,

1