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Oscillations

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 10 times: 9 May 2024 S2, 10 May 2024 S1, 11 May 2024 S1, 22 Apr 2025 S1, 23 Apr 2025 S1, 13 Apr 2026 S2, 16 Apr 2026 S2, 17 Apr 2026 S1, 17 Apr 2026 S2, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 10 of this type

    119
    For a particle executing S.H.M., the potential energy is nn times the kinetic energy when its displacement from mean position is (223)A\left(\dfrac{2\sqrt{2}}{3}\right)A, where AA is the amplitude of S.H.M. The value of nn is

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  2. Question 2

    This type asked 10 times: 9 May 2023 S1, 11 May 2023 S2, 15 May 2023 S2, 12 May 2024 S1, 22 Apr 2025 S2, 26 Apr 2025 S1, 13 Apr 2026 S1, 17 Apr 2026 S1, 18 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 10 of this type

    120
    A particle is performing S.H.M. about x=0x = 0, with an amplitude aa and time period TT. The speed of the particle at x=a3x = \dfrac{a}{3} will be

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  3. Question 3

    This type asked 8 times: 2 May 2023 S1, 11 May 2024 S1, 12 May 2024 S2, 19 Apr 2025 S1, 21 Apr 2025 S1, 26 Apr 2025 S2, 11 Apr 2026 S2, 13 May 2026 S2. This one: 13 May 2026 S2 See all 8 of this type

    120
    The time period of a simple pendulum inside a stationary lift is 5\sqrt{5} s. The time period when the lift moves upwards with an acceleration g4\dfrac{g}{4} is (gg = acceleration due to gravity)

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  4. Question 4

    This type asked 7 times: 11 May 2023 S1, 16 May 2023 S1, 19 Apr 2025 S2, 25 Apr 2025 S2, 26 Apr 2025 S1, 12 May 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 7 of this type

    118
    Two simple pendulums, A of mass M1M_1 and length L1L_1, and B of mass M2M_2 and length L2L_2. M1=M2M_1 = M_2 and L1=2L2L_1 = 2L_2. If vibrational energies of both are same then which one of the following is correct?

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  5. Question 5

    This type asked 7 times: May 2022 S1, 10 May 2023 S2, 15 May 2023 S1, 12 May 2024 S2, 25 Apr 2025 S2, 15 Apr 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 7 of this type

    118
    A particle starts oscillating simple harmonically from its equilibrium position with time period T. The ratio of kinetic energy to potential energy of the particle at time t=T/12t = T/12 is

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  6. Question 6

    This type asked 7 times: 11 May 2023 S2, 12 May 2024 S1, 25 Apr 2025 S2, 18 Apr 2026 S1, 20 Apr 2026 S1, 12 May 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 7 of this type

    119
    S1S_1 and S2S_2 are two identical springs. The frequency of oscillation of mass m is F. If one spring is removed, the frequency will become

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  7. Question 7

    This type asked 7 times: 4 May 2023 S2, 11 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 20 Apr 2025 S2, 21 Apr 2025 S1, 17 Apr 2026 S2. This one: 17 Apr 2026 S2 See all 7 of this type

    119
    A light spring is suspended with mass 'm1m_1' at its lower end and its upper end is fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is T second. When a mass 'm2m_2' is added to 'm1m_1' and the system is made to oscillate the period is found to be 32\dfrac{3}{2} T. The ratio (m1m2)\left(\dfrac{m_1}{m_2}\right) is

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  8. Question 8

    Asked 5 times: 20 Apr 2025 S1, 22 Apr 2025 S2, 19 Apr 2026 S1, 12 May 2026 S1*, 13 May 2026 S1 (* = numbers or wording changed that year) See all 5 times it was asked

    118
    A particle oscillates simple harmonically along a straight line with period 88 s and amplitude 828\sqrt{2} m. It starts from mean position then the ratio of the distances travelled by it in the 2nd2^{nd} second and the first second of its motion is (sin⁡45∘=12)\left(\sin 45^\circ = \dfrac{1}{\sqrt{2}}\right) (sin⁡90∘=1)(\sin 90^\circ = 1)

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  9. Question 9

    This type asked 5 times: May 2021 S1, 15 May 2023 S1, 16 May 2023 S2, 19 Apr 2026 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 5 of this type

    120
    The path length of oscillation of simple pendulum of 11 m is 88 cm. Its maximum velocity is (Take g=π2 m/s2g = \pi^2\ \mathrm{m/s^2})

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  10. Question 10

    This type asked 5 times: May 2021 S1, 9 May 2023 S2, 10 May 2023 S2, 16 May 2023 S1, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type

    119
    A particle executing linear S.H.M. has velocities V1V_1 and V2V_2 at distance x1x_1 and x2x_2 respectively, from the mean position, its angular velocity is

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