MHT CET202013 Oct 2020Morning ShiftPhysicsOscillationsActual
A mass M attached to a horizontal spring executes S.H.M. of amplitude A ₁ . 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 A ₂ . The ratio of ( A ₁ ~A ₂ ) 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
M V=(M+m) V^ 1 2 (M+m) V^ 2 = 1 2 k A₂² 1 2 M V²= 1 2 k A₁² M+m M V^ 2 V² = A₂² A₁² M+m M ( M M+m )²= A₂² A₁² A₁² A₂² = M+m M A₁ A₂ = ( M+m M )^ 1 2