Waves is an important topic in the Physics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.
This article gives you a full set of MHT CET PYQs for Waves with explanations for effective preparation. Practice of MHT CET Physics PYQs including Waves questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.
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MHT CET PYQs for Waves with Solutions
1.
A string is vibrating in its fifth overtone between two rigid supports 2.4 m apart. The distance between successive node and antinode is
- 0.2 m
- 0.6 m
- 0.8 m
- 0.1 m
2.
For a particular sound wave propagating in air, a path difference between two points is 0.54 m which is equivalent to phase difference of (1.8 π)c. If the velocity of sound wave in air is 330 m/s, the frequency of this wave is
110 Hz
- 367 Hz
- 550 Hz
- 660 Hz
3.
A sound wave has a frequency of $ 440 \, \text{Hz} $. What is its time period?- \( 0.00227 \, \text{s} \)
- \( 0.002 \, \text{s} \)
- \( 0.0025 \, \text{s} \)
- \( 0.004 \, \text{s} \)
4.
A steel wire with mass per unit length \( 7.0 \times 10^{-3} \, \text{kg/m} \) is under a tension of \( 70 \, \text{N} \). The speed of transverse waves in the wire will be:- \( 100 \, \text{m/s} \)
- \( 50 \, \text{m/s} \)
- \( 10 \, \text{m/s} \)
- \( 200 \pi \, \text{m/s} \)
5.
How much time does a particle at \( x = C \) take to go from the mean position to the extreme (maximum displacement) for the first time?- \( T/2 \)
- \( T/4 \)
- \( T/3 \)
- \( T \)
6.
Air column in two identical tubes is vibrating. Tube A has one end closed and tube B has both ends open. Neglecting end correction, the ratio of the fundamental frequency of air column in tube A to that in tube B is
- 2:1
- 4:1
- 1:4
- 1:2
7.
A particle on a string undergoes a transverse wave motion given by: \[ y = 5 \sin \left( 4 \pi t - \frac{\pi x}{2} \right) \] (All quantities in SI units.) How much time does a particle at \( x = 0 \) take to go from mean position to extreme (maximum displacement) for the first time?- \( \frac{1}{4} \) S
- \( \frac{1}{8} \) S
- \( \frac{1}{2} \) S
- \( \frac{1}{16} \) S
8.
The ratio of the speed of sound in helium gas to that in nitrogen gas at same temperature is (γHe = \(\frac {5}{3}\), γN2 = 4 , M N2 =28)
\(\frac {5}{\sqrt {3}}\)
\(\sqrt{\frac {7}{5}}\)
\(\sqrt{\frac {2}{7}}\)
\(\sqrt{\frac {5}{3}}\)
9.
A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their $P^{th}$ overtone is- $\frac{p+1}{2p}$
- $\frac{p+1}{2p+1}$
- $\frac{2\left(p+1\right)}{2p+1}$
- $\frac{p}{2p+1}$
10.
In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is- $(2t)^{-1}$
- $4\,(t)^{-1}$
- $2(t)^{-1}$
- $(4\,t)^{-1}$
11.
A sound wave travels through air with a frequency of 500 Hz and a wavelength of 0.68 m. Calculate the speed of sound in air.- \( 340 \, \text{m/s} \)
- \( 500 \, \text{m/s} \)
- \( 200 \, \text{m/s} \)
- \( 680 \, \text{m/s} \)
12.
The speed of a wave is \( 30 \, \mathrm{m/s} \). If the distance between 11 crests is \( 1 \, \mathrm{m} \), what is the frequency (in Hz)?- \( 300 \, \mathrm{Hz} \)
- \( 330 \, \mathrm{Hz} \)
- \( 350 \, \mathrm{Hz} \)
- \( 360 \, \mathrm{Hz} \)
13.
The frequency of a wave is 50 Hz, and its wavelength is 2 m. What is the speed of the wave?- \( 25 \, \text{m/s} \)
- \( 100 \, \text{m/s} \)
- \( 50 \, \text{m/s} \)
- \( 75 \, \text{m/s} \)
14.
A closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has:- Three nodes and three antinodes
- Three nodes and four antinodes
- Four nodes and three antinodes
- Four nodes and four antinodes
15.
The velocity of sound in a gas in which two wavelengths \( 4.08 \, \text{m} \) and \( 4.16 \, \text{m} \) produce 40 beats in 12 seconds will be:- \( 2.828 \, \text{ms}^{-1} \)
- \( 175.5 \, \text{ms}^{-1} \)
- \( 353.6 \, \text{ms}^{-1} \)
- \( 707.2 \, \text{ms}^{-1} \)
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