Question

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant k₁ and k₂, 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

(a) K₁/K₂

(b) √K₁/K₂

(c) K₂/K₁

(d) √K₂/K₁

Answer 1

The correct option is (d) √K₂/K₁.

Explanation:

Since, maximum velocity is same, so maximum KE i.e., It would be same, Also. maximum PE would also  be same. Let A₁ and A₂ be the amplitudes of two bodies A and B, respectively.

Then,