Correct option (a) damping force is small
Explanation:
If m be mass of a particle, then forced vibration equation is given as
where F0 is magnitude of applied force of frequency p . Dividing equation (i) by m, we get
When steady state has been attained the oscillator has settled down to oscillate with forcing frequency p/2π and a constant amplitude. Let solution of equation (i) be given as x = A sin (pt −θ )
where θ is phase difference between the applied force and displacement of the oscillator. Solution can be written as
At resonance frequency amplitude is given as
Sharpness is a measure of the rate of fall of amplitude from its maximum value at resonance frequency on either side of it. The sharper the fall in amplitude, the sharper the resonance.
