Electromagnetic Induction and Alternating Current 7 Question 7

7. The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s, it will decrease to α times its original magnitude, where α equals (2013 Main)

(a) 0.7

(b) 0.81

(c) 0.729

(d) 0.6

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Answer:

Correct Answer: 7. (c)

Solution:

  1. Amplitude decreases exponentially. In 5s, it remains 0.9 times. Therefore, in total 15s it will remains (0.9)(0.9) (0.9)=0.729 times its original value.


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