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The amplitude of a damped oscillator bec...

The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minutes will be `(1)/(x)` time the original, where x is……………

A

`2xx3`

B

`2^(3)`

C

`3^(2)`

D

`3xx2^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The amplitude decreases exponentially with time and becomes half in 1 minute. Amplitude after 3 minutes = `((1)/(2))^(3)` of the original value. Thus, `x=2^(3)`
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