MHT CET202523 Apr 2025Morning ShiftPhysicsOscillationsActual
A particle performs S.H.M. of amplitude 'A' and wavelength ' ', Then the velocity of the wave ( V ) and the maximum particle velocity ( ) are related as
Options
- A( = v 4 A )
- B( V = 4 ~A )
- Cv= 2 A V
- DV= 2 A v
Correct answer
C. v= 2 A V
Step-by-step solution
Velocity and wavelength are related by V = f . The angular frequency is = 2 f , while for a particle in S.H.M. with amplitude A , the maximum particle velocity is = A . Substituting f = V into the angular frequency gives = 2 V . Inserting this into the particle velocity yields = A 2 V = 2 A V . This matches option C .