MHT CET202015 Oct 2020Morning ShiftPhysicsOscillationsActual
A horizontal spring executes S.H.M. with amplitude 'A 1 ', when mass ' m ₁ ^ " is attached to it. When it passes through mean position another mass ' m ₂ ' is placed on it. Both masses move together with amplitude ' A₂ '. Therefore A₂: A₁ is
Options
- A[ m ₂ ~m ₁+ m ₂ ]^ 1 / 2
- B[ m _ 1+ m ₂ ~m ₁ ]^ 1 / 2
- C[ m ₁ ~m ₁+ m ₂ ]^ 1 / 2
- D[ m _ 1+ m ₂ ~m ₂ ]^ 1 / 2
Correct answer
C. [ m ₁ ~m ₁+ m ₂ ]^ 1 / 2
Step-by-step solution
U ₁= 1 2 kx ₁² x ₁= 2 U ₁ k U ₂= 1 2 kx ₂² x ₂= 2 U ₂ k U = 1 2 k ( x ₁+ x ₂ )² x ₁+ x ₂= 2 U k 2 U ₁ k + 2 U ₂ k = 2 U k U = U ₁ + U ₂