In forced oscillation of a particle the amplitude is maximum for a frequency ω1 of the force, while the energy is maximum for a frequency ω2 of the force, then

Question

In forced oscillation of a particle the amplitude is maximum for a frequency ω1 of the force, while the energy is maximum for a frequency ω2 of the force, then (A) ω1 = ω2 (B) ω1 > ω2 (C) ω1 < ω2 when damping is small and ω1 > ω2 when damping is large (D) ω1 < ω2

Tardigrade Admin · Accepted Answer

For the amplitude of oscillation and energy to be maximum, the frequency of force must be equal to the initial frequency and this is only possible in resonance. In resonance state ω1=ω2.

Q. In forced oscillation of a particle the amplitude is maximum for a frequency $ω_{1}$ of the force, while the energy is maximum for a frequency $ω_{2}$ of the force, then

$ω_{1} = ω_{2}$

$ω_{1} > ω_{2}$

$ω_{1} < ω_{2}$ when damping is small and $ω_{1} > ω_{2}$ when damping is large

$ω_{1} < ω_{2}$

For the amplitude of oscillation and energy to be maximum, the frequency of force must be equal to the initial frequency and this is only possible in resonance. In resonance state $ω_{1} = ω_{2}$ .

Q. In forced oscillation of a particle the amplitude is maximum for a frequency ω1​ of the force, while the energy is maximum for a frequency ω2​ of the force, then

ω1​=ω2​

ω1​>ω2​

ω1​<ω2​ when damping is small and ω1​>ω2​ when damping is large

ω1​<ω2​