MHT CET20225 Aug 2022Morning ShiftPhysicsOscillationsActual
The maximum speed of a particle in S.H.M. is V. The average speed is
Options
- AV
- B3 V
- C4 ~V
- D2 ~V
Correct answer
D. 2 ~V
Step-by-step solution
The correct option is (D). Concept: For SHM, a =- ( ^2 ) x is the necessary condition. A general solution for SHM can be written as, x = A ( t + ) where, x is the displacement from mean position, A is the amplitude, is the angular frequency and is the phase angle. On taking the first derivative, velocity can be written as v = dx dt =( A ) ( t + ) So, the maximum speed is ( A )= V . For average speed, over one-time interval T , the body undergoing SHM moves by distance 4A. Thus, the average speed is given by |v| = 4