MHT CET Medical202621 April 2026Evening ShiftPhysicsOscillationsActual
If the kinetic energy of simple pendulum is 1 4 of its total energy, then the displacement ( x ) and amplitude ( A ) are related as
Options
- Ax = A
- Bx = 2A
- Cx = 3 2 A
- Dx = 3 4 A
Correct answer
C. x = 3 2 A
Step-by-step solution
Total energy of a simple pendulum executing SHM is given by E = 1 2 m ^2 A^2 Kinetic energy at displacement x is given by K = 1 2 m ^2 (A^2 - x^2) Given that K = 1 4 E 1 2 m ^2 (A^2 - x^2) = 1 4 ( 1 2 m ^2 A^2 ) A^2 - x^2 = A^2 4 x^2 = A^2 - A^2 4 = 3A^2 4 x = 3 2 A Answer: x = 3 2 A