Mains roll no. are out -IV

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...........................

(~ represents approximate value )

0.81 0.729 ~0.9 ~0.983 0.3 0.27

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1 solution

Spandan Senapati
Mar 14, 2017

Use A = A ( o ) e ( b t / 2 m ) A=A(o)e^(-bt/2m) .The given time being 3 3 times the amplitude falls ( 9 / 10 ) 3 = 729 / 1000 (9/10)^3=729/1000 times

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