MHT CET202123 Sep 2021Morning ShiftPhysicsOscillationsActual
A body is executing S.H.M. under the action of force having maximum magnitude 50 ~N . When its energy is half kinetic and half potential, the magnitude of the force acting on the particle is
Options
- A25 2 ~N
- B50 ~N
- C25 ~N
- D25 2 ~N
Correct answer
D. 25 2 ~N
Step-by-step solution
Potential energy is a half of the total energy aligned & 1 2 ~m ^2 x ^2= 1 2 [ 1 2 ~m ^2 ~A ^2 ] & x ^2= A ^2 2 or x = A 2 aligned Maximum force F_m=m ^2 A Force at a distance x , F ^ = m ^2 x aligned & F^ F_m = x A = 1 2 & F^ = F_m 2 = 50 2 =25 2 N aligned