Oscillations - Result Question 49

53. The amplitude of a pendulum executing simple harmonic motion falls to 1/3 the original value after 100 oscillations. The amplitude falls to S times the original value after 200 oscillations, where S is

(a) 1/9

(b) 1/2

(c) 2/3

(d) 1/6

[2002]

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Answer:

Correct Answer: 53. (a)

Solution:

  1. (a) In harmonic oscillator, amplitude falls exponentially.

After 100 oscillations amplitude falls to 13 times.

After next 100 oscillations i.e., after 200 oscillations amplitude falls to (13)2=19 times.



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