AP EAMCET202420 May 2024Morning ShiftPhysicsOscillationsActual
In a time of 2 s , the amplitude of a damped oscillator becomes 1 e times its initial amplitude A. In the next two seconds, the amplitude of the oscillator is
Options
- A1 2 e
- B2 e
- C1 e^2
- D2 e^2
Correct answer
C. 1 e^2
Step-by-step solution
t =2 ~s , ~A ^ = A e In damped oscillation, A ^ = A e ^ - ( b 2 M ) t A e = Ae e ^ - ( b 2 ~m ) 2 ~b 2 M = 1 2 A ^ = A ^ - t / 2 At. t=4 ~s , ~A ^ = Ae ^ -4 / 2 = A e ^2