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JEE Main20198 Apr 2019Evening ShiftPhysicsOscillationsActual

A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to 1 1000 of the original amplitude is close to:

Options

  1. A50 s
  2. B100 s
  3. C20 s
  4. D10 s

Correct answer

C. 20 s

Step-by-step solution

f = 5 So, T = 1 5 Time taken for amplitude to drop to half: 10 T = 10 5 = 2 s Now, A 0 1000 = A 0 ( 2 ) t 2 ( 2 ) t 2 = 1000 t 2 l o g 2 = 3 t = 6 l o g 2 ≈ 20 s

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