MHT CET202620 April 2026Evening ShiftPhysicsOscillationsActual
A particle is performing S.H.M. about x = 0 , with an amplitude a and time period T . The speed of the particle at x = a 3 will be
Options
- A2 a T
- B4 a 3T
- C3 ^2 a 2T
- D4 2 a 3T
Correct answer
D. 4 2 a 3T
Step-by-step solution
The velocity of a particle in S.H.M. at a distance x from the mean position is given by v = a^2 - x^2 Substituting = 2 T and x = a 3 v = 2 T a^2 - ( a 3 )^2 v = 2 T a^2 - a^2 9 v = 2 T 8a^2 9 v = 2 T ( 2 2 a 3 ) v = 4 2 a 3T Answer: 4 2 a 3T