1.

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5 s. In another 10 s it will decrease to alpha times its original magnitude, where alpha equals :

Answer»

0.81
0.729
0.6
0.7

Solution :For DAMPED oscillator amplitude at any time is
`A=A_(0)e^(-kt)`
`IMPLIES""0.9A_(0)=A_(0)e^(-5K)`
and `""A_(0)=A_(0)e^(-15k)`
solving `impliesalpha=0.739`
So, CORRECT choice is (b).


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