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JEE Advanced Simple Harmonic Motion questions with solutions

Oscillations of springs and pendulums, energy and time period. 18 questions from our 2016–2025 JEE Advanced pattern papers, from the Class 11 Physics syllabus. Each has the answer and a full solution.

Also practise: Simple Harmonic Motion for JEE Main

JEE Advanced 2025

A uniform solid cylinder of length 0.20 m and density 500 kg m^-3 floats upright in water (density 1000 kg m^-3) in a very wide tank. Take g=10 m…JEE Advanced 2025 Paper 2 · medium

JEE Advanced 2024

Let T0=2π√(L/g) be the small-oscillation period of a simple pendulum of length L at rest in a uniform gravitational field g. List-I describes four…JEE Advanced 2024 Paper 1 · medium
Paragraph 2: A block A of mass 2 kg is attached to a light horizontal spring of force constant 200 N m^-1 whose other end is fixed to a wall. The…JEE Advanced 2024 Paper 2 · 2-question set

JEE Advanced 2023

A simple pendulum of length L has period T0=2π√(L/g) when oscillating through small angles in a fixed laboratory. List-I describes four situations of…JEE Advanced 2023 Paper 1 · medium
Paragraph 2: A uniform thin rod of length L=1.20 m and mass m can oscillate in a vertical plane as a physical pendulum about a smooth horizontal axis…JEE Advanced 2023 Paper 2 · 2-question set

JEE Advanced 2021

A block of mass 0.50 kg attached to a spring of constant 50 N m^-1 oscillates on a horizontal surface in a medium that exerts a retarding force -bv…JEE Advanced 2021 Paper 1 · medium
Paragraph 1: A block of mass 2 kg is attached to a horizontal spring of force constant 200 N m^-1 and executes simple harmonic motion with amplitude…JEE Advanced 2021 Paper 2 · 2-question set

JEE Advanced 2019

A block B of mass 3 kg lies on a smooth horizontal surface and is attached to a horizontal spring of constant 100 N m^-1 whose other end is fixed. A…JEE Advanced 2019 Paper 1 · medium
A block of mass M=3 kg executes simple harmonic motion of amplitude A on a smooth horizontal surface, attached to a light spring of force constant k.…JEE Advanced 2019 Paper 2 · medium

JEE Advanced 2018

A uniform thin rod of mass 1.0 kg and length 1.0 m hangs vertically from a smooth horizontal hinge at its upper end. A light horizontal spring of…JEE Advanced 2018 Paper 1 · medium
A block of mass 2.0 kg attached to a horizontal spring of force constant 200 N m^-1 executes simple harmonic motion of amplitude 0.10 m on a smooth…JEE Advanced 2018 Paper 2 · medium

JEE Advanced 2017

A uniform rod of mass 0.5 kg and length 0.6 m hangs vertically from a smooth horizontal pivot at its upper end. A horizontal light spring of…JEE Advanced 2017 Paper 1 · medium
A uniform solid cylinder of length 0.50 m and density 0.8 g cm^-3 floats upright in a liquid of density 1.0 g cm^-3 in a lift. The lift accelerates…JEE Advanced 2017 Paper 2 · medium

JEE Advanced 2016

A block of mass m attached to an ideal spring of force constant k executes simple harmonic motion with amplitude A on a smooth horizontal table. At…JEE Advanced 2016 Paper 1 · medium
A uniform cylinder of mass 0.50 kg and cross-sectional area 50 cm^2 floats upright in water of density 1000 kg m^-3, partly submerged, while being…JEE Advanced 2016 Paper 2 · easy

Other Physics topics

Atoms, Nuclei and Dual Nature of Radiation 35 Calorimetry and Heat Transfer 17 Capacitors 11 Current Electricity 13 Electromagnetic Induction and Alternating Current 25 Electrostatics 15 Fluid Mechanics, Elasticity and Surface Tension 21 Gravitation 13 Kinematics and Laws of Motion 11 Magnetic Effects of Current 34 Ray and Wave Optics 21 Rotational Motion 31 Thermodynamics and Kinetic Theory of Gases 23 Units and Measurements 8 Waves and Sound 28 Work, Energy and Power 9