1.

The amplitude of damped oscillator becomes half in one minute. The amplitude after 3 minutes will be `1//x` times the original, where x isA. 8B. 2C. 3D. 4

Answer» Correct Answer - A
The variation in amplitude of damped harmonic oscilator with time is given by
`A=A_(0)e^(-bt)`
`A_(0)`=Initial amplitude, b=damping factor
It is given that after 1 minute, `A_(1)=A_(0)//2=A_(0)e^(-bt)`
`:. 2=e^(b)`
`:.` after 3 minutes, `A_(3)=A_(0)//x=A_(0)e^(-3b)`
`:. x=2^(3)`


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