# A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ωo…

Q: A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ω0. An external force F(t) proportional to cosωt (ω ≠ ω0) 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)