JEE Main2011PhysicsOscillationsActual
A mass M , attached to a horizontal spring, executes S.H.M. with amplitude A₁ . When the mass M passes through its mean position then a smaller mass m is placed over it and both of them move together with amplitude A₂ . The ratio of ( A₁ A₂ ) is :
Options
- AM+m M
- B( M M+m )^ 1 / 2
- C( M + m M )^ 1 / 2
- DM M+m
Correct answer
C. ( M + m M )^ 1 / 2
Step-by-step solution
Energy of simple harmonic oscillator is constant. aligned & 1 2 M ^2 A₁^2= 1 2 (m+M) ^2 A₂^2 & A₁^2 A₂^2 = M+m M & A₁ A₂ = M+m M aligned