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A particle of mass m is attached to a spring (of spring constant k ) and has a natural angular frequency ω_0. An external force F(t) proportional to…

JEE Main 2004 — Physics Waves & Oscillations

2004mcqhard

A particle of mass mmm is attached to a spring (of spring constant kkk ) and has a natural angular frequency ω0\omega_0ω0​. An external force F(t)F(t)F(t) proportional to cos⁡ωt(ω≠ω0)\cos \omega t\left(\omega \neq \omega_0\right)cosωt(ω=ω0​) is applied to the oscillator. The time displacement of the oscillator will be proportional to

Official previous-year question

Held on 30 Apr 2004 · Verified 6 Jul 2026.

Options

  1. A

    mω02−ω2\frac{\mathrm{m}}{\omega_0^2-\omega^2}ω02​−ω2m​

  2. B

    1m(ω02−ω2)\frac{1}{m\left(\omega_0^2-\omega^2\right)}m(ω02​−ω2)1​

  3. C

    1m(ω02+ω2)\frac{1}{m\left(\omega_0^2+\omega^2\right)}m(ω02​+ω2)1​

  4. D

    mω02+ω2\frac{m}{\omega_0^2+\omega^2}ω02​+ω2m​

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