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JEE Main 2026Physics Waves & Oscillations

hard
mcq
2026
Official previous-year question

Verified 30 May 2026.

Question

A spring-mass system oscillates with angular frequency $\omega$. If the mass is doubled and the spring constant is halved, the new angular frequency is:

Options

  1. A

    $\frac{\omega}{2}$

  2. B

    $\frac{\omega}{\sqrt{2}}$

  3. C

    $2\omega$

  4. D

    $\omega\sqrt{2}$

Solution

$\omega = \sqrt{\frac{k}{m}}$

$$\omega' = \sqrt{\frac{k/2}{2m}} = \sqrt{\frac{k}{4m}} = \frac{\omega}{2}$$

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