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A particle, with restoring force proport...

A particle, with restoring force proportional to displacement and resulting force proportional to velocity is subjected to a force `F sin omega t`. If the amplitude of the particle is maximum for `omega = omega_(1)`, and the energy of the particle is maximum for `omega=omega_(2)`, then

A

`omega_(1)=omega_(0) and omega_(2) ne omega_(0)`

B

`omega_(1)=omega_(0) and omega_(2)=omega_(0)`

C

`omega_(1) ne omega_(0) and omega_(2)=omega_(0)`

D

`omega_(1) ne omega_(0) and omega_(2) ne omega_(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since, energy of particle is maximum at resonant frequency i.e. `omega_(2)=omega_(0)`
For amplitude resonance-
`omega=sqrt(omega_(0)^(2)-((b)/(2m))^(2))implies omega_(1)ne omega_(0)`.
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