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

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Shivam Yadav

Educational Content Expert | Updated on - Nov 26, 2025

Waves and Oscillations 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 and Oscillations with explanations for effective preparation. Practice of MHT CET Physics PYQs including Waves and Oscillations questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

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MHT CET PYQs for Waves and Oscillations with Solutions

  • 1.
    A mass $m_1$ connected to a horizontal spring performs $S.H.M.$ with amplitude $A$. While mass $m_1$ is passing through mean position another mass $m_2$ is placed on it so that both the masses move together with amplitude $A_1$. The ratio of $\frac{A_{1}}{A}$ is $\left(m_{2} < m_{1}\right)$

      • $\left[\frac{m_{1}}{m_{1}+m_{2}}\right]^{\frac{1}{2}}$
      • $\left[\frac{m_{1}+m_{2}}{m_{1}}\right]^{\frac{1}{2}}$
      • $\left[\frac{m_{2}}{m_{1}+m_{2}}\right]^{\frac{1}{2}}$
      • $\left[\frac{m_{1}+m_{2}}{m_{2}}\right]^{\frac{1}{2}}$

    • 2.

      For a particle performing S.H.M. the equation $ \frac{d^2x}{dt^2} + \alpha x = 0 $. Then the time period of the motion will be:

        • 2πα

        • \(\frac {2π}{\sqrt {α}}\)

        • \(\frac {2π}{α}\)

        • \(2π\sqrt {α}\)


      • 3.
        A pendulum having a negatively charged metal knob is oscillating on a positively charged surface. The time of the pendulum will be:

          • Increase
          • Decrease
          • Will remain the same
          • Will increase and then decrease

        • 4.
          What is the fundamental frequency of an open organ pipe with length \( L \) and speed of sound \( v \)?

            • \( \frac{v}{2L} \)
            • \( \frac{v}{L} \)
            • \( \frac{2v}{L} \)
            • \( \frac{vL}{2} \)

          • 5.
            If ‘V’ is velocity and ‘a’ is acceleration of a particle executing linear simple harmonic motion. Which one of the following statements is correct?

              • when ‘a’ is maximum, v is maximum
              • when ‘a’ is maximum, v is zero
              • when ‘a’ is zero, v is zero.
              • ‘a’ is zero for any value of ‘v’

            • 6.
              A mass of 0.5 kg is attached to a spring of force constant 200 N/m. What is the time period of oscillation?

                • 0.314 s 
                   

                • 0.50 s
                • 1.00 s
                • 2.00 s

              • 7.
                A simple pendulum has a length of $ L = 2 \, \text{m} $. What is the time period of the pendulum? (Assume $ g = 9.8 \, \text{m/s}^2 $)

                  • \( 2 \, \text{s} \)
                  • \( 1 \, \text{s} \)
                  • \( 3 \, \text{s} \)
                  • \( 4 \, \text{s} \)

                • 8.

                  An equation of a simple harmonic progressive wave is given by y = A sin (100πt-3x).The distance between two particles having a phase difference of \(\frac {π}{3}\) in metre is

                    • \(\frac {π}{3}\)

                    • \(\frac {π}{18}\)

                    • \(\frac {π}{9}\)

                    • \(\frac {π}{6}\)


                  • 9.
                    A particle executes the simple harmonic motion with an amplitude $'A'$. The distance travelled by it in one periodic time is

                      • $\frac{A}{2}$
                      • $A$
                      • $2A$
                      • $4A$

                    • 10.
                      A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be:

                        • \( 1:1 \)
                        • \( 2:1 \)
                        • \( 1:4 \)
                        • \( 1:3 \)

                      • 11.

                        The maximum speed of a particle in S.H.M. is V. The average speed is

                          • \(\frac {3V}{π}\)

                          • \(\frac {4V}{π}\)

                          • \(\frac {V}{π}\)

                          • \(\frac {2V}{π}\)


                        • 12.
                          If a copper rod carries a direct current, the magnetic field associated with the current will be?

                            • Parallel to the rod
                            • Perpendicular to the rod
                            • Circular around the rod
                            • No magnetic field

                          • 13.
                            A particle performs linear $S.H.M.$ At a particular instant, velocity of the particle is $u$ and acceleration is $\alpha$ while at another instant velocity is $v$ and acceleration is $ \beta (0 < \alpha < \beta )$. The distance between the two positions is

                              • $\frac{u^2 - v^2}{\alpha + \beta}$
                              • $\frac{u^2 + v^2}{\alpha + \beta}$
                              • $\frac{u^2 - v^2}{\alpha - \beta}$
                              • $\frac{u^2 + v^2}{\alpha - \beta}$

                            • 14.
                              For a particle performing linear S.H.M., its average speed over one oscillation is (a = amplitude of S.H.M., n = frequency of oscillation)

                                • $2\, an$
                                • $4 \,an$
                                • $6 \,an$
                                • $8\,an$

                              • 15.
                                A mass of 0.5 kg is attached to a spring of force constant 200 N/m. What is the time period of oscillation?

                                  • 0.314 s
                                  • 0.451 s
                                  • 0.567 s
                                  • 0.789 s

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