MHT CET202019 Oct 2020Evening ShiftPhysicsOscillationsActual
Two bodies ' A ' and 'B' of equal mass are suspended from two separate massless springs of force constant ' k ₁ ' and ^ k ₂ ' respectively. The bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitudes of body A to that of body B is
Options
- Ak ₂ k ₁
- Bk ₁ k ₂
- Ck ₁ k ₂
- Dk ₂ k ₁
Correct answer
A. k ₂ k ₁
Step-by-step solution
(A) If their maximum velocities are equal then their total energy is same. If A₁, A₂ are their amplitudes, then aligned & 1 2 ~K ₁ ~A ₁²= 1 2 ~K ₂ ~A ₂² & A ₁ ~A ₂ = K ₂ ~K ₁ aligned