Free physics question bank

Time Period of Linear Simple Harmonic Motion questions with solutions

Practice Simple Harmonic Motion for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 60 questions

  • MCQmediumSimple Harmonic Motion

    A frictionless piston of mass m and cross-sectional area A closes an ideal gas of equilibrium pressure P and equilibrium volume V. The other side of the piston is maintained at constant pressure. For small rapid oscillations, the gas compression and expansion may be treated as adiabatic with ratio of specific heats γ. What is the angular frequency?

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  • NumericmediumSimple Harmonic Motion

    A V-shaped tube contains liquid of total length 4 m. The left arm makes 30° with the horizontal and the right arm makes 90° with the horizontal. Take g = 10 m/s² and neglect viscosity. If ω² = N/4 s⁻², find N.

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  • MCQmediumSimple Harmonic Motion

    A particle is executing simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Its time period of vibration will be:

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    AIPMT July 2015NEET Previous Year

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  • MCQmediumSimple Harmonic Motion

    As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is :

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    JEE Mains 202628 January Evening Shift

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  • NumericmediumSimple Harmonic Motion

    A uniform U-tube contains a liquid column of total length 5 m and is placed in an elevator accelerating upward at 2.5 m/s². Take g = 10 m/s². If ω² = N s⁻², find N.

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  • MCQmediumSimple Harmonic Motion

    A uniform solid disc of mass M and radius R rolls without slipping on a rough horizontal surface. Its centre is connected to a horizontal ideal spring of force constant k. What is the angular frequency of small oscillations?

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  • MCQmediumSimple Harmonic Motion

    A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations, when a mass of 2 kg is suspended by it, is:

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    NEET 2021NEET Previous Year

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  • NumericmediumSimple Harmonic Motion

    A symmetric V-shaped tube contains a liquid column of total length 5 m. Each arm makes an angle 30° with the horizontal. Neglect viscosity and take g = 10 m/s². If ω² = N s⁻², find N.

    JEE MainsNEETJEE Advanced

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  • MCQmediumSimple Harmonic Motion

    A particle executes linear simple harmonic motion with amplitude 3 cm. When the particle is 2 cm from the mean position, the numerical magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:

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    NEET 2018NEET Previous Year

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  • MCQmediumSimple Harmonic Motion

    A block of mass m is attached to an ideal horizontal spring of force constant k inside a vehicle accelerating uniformly with acceleration a along the spring. Relative to the vehicle, what happens to the equilibrium position and the small-oscillation time period?

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