MHT CET202122 Sep 2021Evening ShiftPhysicsOscillationsActual
A body of mass ' m ' performs linear S.H.M. given by equation x = P t + Q ( t + 2 ) . The total energy of the particle at any instant is
Options
- A1 2 ~m ^2 PQ
- B1 2 m ^2 P ^2 Q ^2
- C1 2 ~m ^2 ( P ^2+ Q ^2 )
- D1 2 ~m ^2 P ^2 Q ^2
Correct answer
C. 1 2 ~m ^2 ( P ^2+ Q ^2 )
Step-by-step solution
x = P t + Q ( t + 2 ) It can be considered as composition of two S.H.M. of amplitudes P and Q having phase difference 2 . Resultant amplitude R = P ^2+ Q ^2 Total energy E= 1 2 m ^2 R^2 = 1 2 ~m ^2 ( P ^2+ Q ^2 )