WBJEE PYQs for Waves and Oscillations with Solutions: Practice WBJEE Previous Year Questions

Updated on - Dec 31, 2025

Waves and Oscillations is an important topic in the Physics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.

This article gives you a full set of WBJEE PYQs for Waves and Oscillations with explanations for effective preparation. Practice of WBJEE Physics PYQs including Waves and Oscillations questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.

WBJEE PYQs for Waves and Oscillations with Solutions

1.
Two springs are joined and attached to a mass of $16\, kg$. The system is then suspended vertically from a rigid support. The spring constant of the two springs are $ {{k}_{1}} $ and $ {{k}_{2}} $ respectively. The period of vertical oscillations of the system will be
- $ \frac{1}{8\pi }\sqrt{{{k}_{1}}+{{k}_{2}}} $
- $ 8\pi \sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{{{k}_{1}}{{k}_{2}}}} $
- $ \frac{\pi }{2}\sqrt{{{k}_{1}}-{{k}_{2}}} $
- $ \frac{\pi }{2}\sqrt{\frac{{{k}_{1}}}{{{k}_{2}}}} $
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2.
A particle of mass $ m $ moves in one dimension under the action of a conservative force whose potential energy has the form $ U(x) = \frac{\alpha x}{x^2 + \beta^2} $, where $ \alpha $ and $ \beta $ are dimensional parameters. The angular frequency $ \omega $ of the oscillation is proportional to:
- $\sqrt{\frac{\alpha^3}{m \beta^4}}$
- $\sqrt{\frac{\alpha}{m \beta^4}}$
- $\sqrt{\frac{\alpha}{m \beta^3}}$
- $\sqrt{\frac{\alpha}{m \beta^6}}$
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3.
A simple pendulum of length $L$ swings in a vertical plane. The tension of the string when it makes an angle $\theta$ with the vertical and the bob of mass m moves with a speed $v$ is ($g$ is the gravitational acceleration
- $mv^2/L$
- $mg\, cos$$\theta$ + $mv^2/L$
- $mg\, cos$$\theta$ - $mv^2/L$
- $mg \,cos$$\theta$
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4.
The bob of a pendulum of mass �$m$�, suspended by a inextensible string of length �$L$� as shown in the figure carries a small charge �$q$�. An infinite horizontal plane conductor with uniform surface charge density $�\sigma�$ is placed below it. What will be the time period of the pendulum for small amplitude oscillations ?
- $2\pi \sqrt{\frac{L}{\left(g- \frac{mq}{ \varepsilon_{0 } \sigma}\right)}}$
- $\sqrt{\frac{L}{\left(g- \frac{mq\sigma}{ \varepsilon_{0 } }\right)}}$
- $\frac{1}{2\pi} \sqrt{\frac{L}{\left(g- \frac{q\sigma}{ \varepsilon_{0 } m }\right)}}$
- $ 2 \pi \sqrt{\frac{L}{\left(g- \frac{q\sigma}{ \varepsilon_{0 } m }\right)}}$
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5.
In case of a simple harmonic motion, if the velocity is plotted along the $X$ -axis and the displacement (from the equilibrium position) is plotted along the $Y$ -axis, the resultant curve happens to be an ellipse with the ratio: $\frac{\text { major axis (along } X \text { ) }}{\text { minor axis (along } Y)}=20 \pi$ What is the frequency of the simple harmonic motion?
- 100 Hz
- 20 Hz
- 10 Hz
- $\frac{1}{10} Hz $
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6.
A small mass $m$ attached to one end of a spring with a negligible mass and an unstretched length $L$, executes vertical oscillations with angular frequency $\omega_0$. When the mass is rotated with an angular speed $\omega$ by holding the other end of the spring at a fixed point, the mass moves uniformly in a circular path in a horizontal plane. Then the increase in length of the spring during this rotation is
- $\frac{\omega^{2}L}{\omega^{2}_{0}-\omega^{2}}$
- $\frac{\omega^{2}_{0}L}{\omega^{2}-\omega_{0}^{2}}$
- $\frac{\omega^{2}L}{\omega_{0}^{2}}$
- $\frac{\omega_{0}^{2}L}{\omega^{2}}$
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