Free physics question bank

Kinetic Energy, Potential Energy and Conservation of Energy in SHM 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 34 questions

  • MCQmediumSimple Harmonic Motion

    A body executes SHM with an amplitude a. At what displacement from the mean position is the potential energy one-fourth of the total energy?

    Options

    AIPMT 1995NEET Previous Year

    Open question & full solution →
  • MCQeasySimple Harmonic Motion

    In simple harmonic motion, the total mechanical energy of given system is E. If mass of oscillating particle P is doubled then the new energy of the system for same amplitude is:

    174216-1788928345604.webp

    Options

    JEE Mains 2024 04 Apr Evening Shift

    Open question & full solution →
  • NumericmediumSimple Harmonic Motion

    The general displacement of a simple harmonic oscillator is x = A sinωt. Let T be its time period. The slope of its potential energy U–time t curve will be maximum when t = T/β. The value of β is ____.

    JEE Mains30 January 2023Shift 1Morning Shift

    Open question & full solution →
  • MCQdifficultSimple Harmonic Motion

    A block of mass m rests on a plank of mass M. The plank is attached to a horizontal spring of force constant k and lies on a smooth floor. The coefficient of static friction between block and plank is μ. The system is displaced horizontally by amplitude A and released. The maximum A for which no slipping occurs is:

    Options

    Open question & full solution →
  • MCQmediumSimple Harmonic Motion

    A particle oscillates along the x-axis according to x=sin²(t/2), with x₀=1. Which graph correctly represents kinetic energy K versus position x?

    Options

    JEE Mains 2025 24 Jan Evening Shift

    Open question & full solution →
  • NumericmediumSimple Harmonic Motion

    An object of mass 0.2 kg executes simple harmonic motion along x axis with frequency of (25/π) Hz. At the position x = 0.04 m the object has kinetic energy 0.5 J and potential energy 0.4 J. The amplitude of oscillation is ______ cm.

    JEE Mains 2024 08 Apr Evening Shift

    Open question & full solution →
  • MCQmediumSimple Harmonic Motion

    The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is_____Hz. [take π = 22/7]

    Options

    JEE Mains 202621 January Evening Shift

    Open question & full solution →
  • MCQmediumSimple Harmonic Motion

    A body executes simple harmonic motion with frequency n. The frequency of its potential energy is:

    Options

    NEET 2021NEET Previous Year

    Open question & full solution →
  • NumericeasySimple Harmonic Motion

    When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is x/8, where x = _________.

    JEE Mains 2024 29 Jan Morning Shift

    Open question & full solution →
  • MCQeasySimple Harmonic Motion

    For SHM, which graph represents Eₜₒₜ - U versus displacement x from the mean position?

    Options

    JEE Mains13 April 2023Shift 1Morning Shift

    Open question & full solution →