MHT CET202020 Oct 2020Evening ShiftPhysicsOscillationsActual
A body performs linear S.H.M. with amplitude 'a'. When it is at a distance a 3 from extreme position, the magnitude of velocity is 1 3 times the magnitude of acceleration. The period of S.H.M. is
Options
- A3 2 5 ~s
- B5 3 5 ~s
- C2 3 5 ~s
- D3 5 ~s
Correct answer
C. 2 3 5 ~s
Step-by-step solution
a= amplitude x=a- a 3 = 2 a 3 a_ p = ² x= ² 2 a 3 v_ p = a²-x² = a²- 4 a² 9 = 5 a² 9 = 5 a 3 3 v_ p =a_ p v_ p a_ p = 1 3 = 5 a / 3 ² 2 a 3 = 5 2 3= 2 5 = 2 5 2 T T = 4 3 5