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A particle of mass (m) is attached to a ...

A particle of mass (m) is attached to a spring (of spring constant k) and has a natural angular frequency omega_(0). An external force `R(t)` proportional to cos omegat(omega!=omega)(0) is applied to the oscillator. The time displacement of the oscillator will be proportional to.

A

`(m)/(omega_(0)^(2)-omega^(2))`

B

`(1)/(m(omega_(0)^(2)-omega^(2)))`

C

`(1)/(m(omega_(0)^(2)+omega^(2)))`

D

`(m)/(omega_(0)^(2)+omega^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
For forced oscillation, the time displacement at any instant is given by
`x=(F_(0))/(m(omega_(0)^(2)-omega^(2)))cosomegat,xprop(1)/(m(omega_(0)^(2)-omega^(2)))`
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