Q: A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ω_{0}. An external force F(t) proportional to cosωt (ω ≠ ω_{0}) is applied to the oscillator. The maximum displacement of the oscillator will be proportional to

(a) $ \displaystyle \frac{m}{\omega_0^2 + \omega ^2} $

(b) $\displaystyle \frac{1}{m(\omega_0^2 – \omega ^2)} $

(c) $ \displaystyle \frac{1}{m(\omega_0^2 + \omega ^2)} $

(d)$\displaystyle \frac{m}{\omega_0^2 – \omega ^2} $

Ans: (b)