Electromagnetic Induction And Alternating Current Ques 107
- 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 $\quad$ (2013 Main)
0.7
(b) 0.81
(c) 0.729
0.6
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Answer:
Correct Answer: 107.(c)
Solution:
Formula:
Amplitude decreases exponentially. In $5 s$, it remains 0.9 times. Therefore, in total $15 s$ it will remain $(0.9)(0.9)(0.9)=0.729$ times its original value.