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The displacement of a harmonic oscillato...

The displacement of a harmonic oscillator is given by `x=alpha sin omegat+beta cosomegat`. Then the amplitude of the oscillator is,

A

`alpha`

B

`beta`

C

`alpha+beta`

D

`(alpha^(2)+beta^(2))^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`R=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosalpha_(1)-alpha_(2))`
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