JEE Main202313 Apr 2023Evening ShiftPhysicsOscillationsActual
A particle executes SHM of amplitude A . The distance from the mean position when its kinetic energy becomes equal to its potential energy is:
Options
- A1 2 A
- B2 A
- C2 A
- D1 2 A
Correct answer
A. 1 2 A
Step-by-step solution
The potential energy is given by U = m ω 2 x 2 2 The kinetic energy is given by K = m ω 2 ( A 2 - x 2 ) 2 . Using the condition that K = U , 1 2 m ω 2 A 2 - x 2 = 1 2 m ω 2 x 2 ⇒ x = A 2