The amplitude of a damped oscillator decreases to 09 times its original magnitude in 5s In another 10s it will decrease to times its original magnitude where equals physics 2013

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The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to α times its original magnitude, where α equals : - physics 2013

(1) 0.7 (2) 0.81 (3) 0.729 (4) 0.6 
 


By:milan-ransingh

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A=A0ekt
0.9A0=A0ekt
kt=ln(0.9)
5k=ln(0.9)=>15k=3ln(0.9)
A=A0e15k=A0eln(0.9)3

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