Waves 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 with explanations for effective preparation. Practice of WBJEE Physics PYQs including Waves questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.
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WBJEE PYQs for Waves with Solutions
1.
When sound is produced in an aeroplane moving with a velocity of $200 \,m/s$ horizontal its echo is heard after $ 10\sqrt{5}\,s. $ If velocity of sound in air is the elevation of aircraft is- $250 \,m$
- $ 250\sqrt{5}\,m $
- $ 12.50\,m $
- $2500\, m$
2.
The equation of a stationary wave along a stretched string is given by \[ y = 5 \sin \left( \frac{\pi x}{3} \right) \cos (40 \pi t) \] Additional Information Here, \(x\) and \(y\) are in cm and \(t\) in seconds. The separation between two adjacent nodes is:- 1.5 cm
- 3 cm
- 6 cm
- 14 cm
3.
The displacement of a plane progressive wave in a medium, traveling towards the positive x-axis with velocity 4m/s at t=0 is given by \(y=3sin2\pi(-\frac{x}{3})\). Then the expression for the displacement at a later time t=4 sec will be- \(y=3\,sin2\pi(-\frac{x-16}{3})\)
- \(y=3\,sin2\pi(\frac{-x-16}{3})\)
- \(y=3\,sin2\pi(\frac{-x+1}{3})\)
- \(y=3\,sin2\pi(\frac{-x-1}{3})\)
4.
A travelling acoustic wave of frequency $500\, Hz$ is moving along the positive $x$-direction with a velocity of $300 \,ms^{-1}$. The phase difference between two points $x_1$ and $x_2$ is 60$^{\circ}$. Then the minimum separation between the two pints is- 1 mm
- 1 cm
- 10 cm
- 1 m
5.
The equation of a progressive wave can be given by $ y=15 $ $ \sin (660\pi t-0.02\pi x)\,cm. $ The frequency of the wave is- 330 Hz
- 342 Hz
- 365 Hz
- 660 Hz
6.
A uniform string of length $L$ and mass $M$ is fixed at both ends while it is subject to a tension $T$. It can vibrate at frequencies $(v)$ given by the formula (where $n = 1, 2, 3, .....$)- $v = \frac{n}{2}\sqrt{\frac{T}{ML}}$
- $v = \frac{n}{2L}\sqrt{\frac{T}{M}}$
- $v = \frac{1}{2n}\sqrt{\frac{T}{ML}}$
- $v = \frac{n}{2}\sqrt{\frac{TL}{M}}$
7.
A car moving at a velocity of 17 $ms^{-1}$ towards an approaching bus that blows a horn at a frequency of $640\ Hz$ on a straight track. The frequency of this horn appears to be $680\, Hz$ to the car driver. If the velocity of sound in air is $340\,m\,s^{-1}$, then velocity of the approaching bus is- 2 $ms^{-1}$
- 4 $ms^{-1}$
- 8 $ms^{-1}$
- 10 $ms^{-1}$
8.
Two stretched strings have lengths $l$ and $2l$ while tension are $T$ and $4T$ respectively. If they are made of same material the ratio of their frequency is- 2:01
- 1:02
- 1:01
- 1:04
9.
A hollow cylinder with both sides open generates a frequency $ f $ in air. When the cylinder vertically immersed into water by half its length the frequency will be- f
- 2f
- f/2
- f/4
10.
A whistle whose air column is open at both ends has a fundamental frequency of $5100 \,Hz$. If the speed of sound in air is $340\, ms^{-1}$, the length of the whistle, in cm, is- 44684
- 44837
- $5$
- 20-Mar
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