Practice portal › JEE › Oscillations

Oscillations due to a Spring for JEE: 35 solved questions

Real JEE paper questions on oscillations due to a spring, part of oscillations. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

• Spring combinations — 17 questions
• Single spring — 12 questions
• Mass added or removed — 6 questions

All 35 questions with solutions

• A spring stretches by 2 mm when it is loaded with a mass of 200 g. From the equilibrium position the mass is… JEE Main 6th April 2nd Shift 2026
• The frequency of oscillation of a mass m suspended from a spring is u₁. If the length of the spring is cut to… JEE Main 8th April 2nd Shift 2026
• [Figure: a light spring lying on a smooth horizontal surface with a block of 1 kg attached at its left end an… JEE Main 28th Jan 2nd Shift 2026
• [Figure: a block of mass m resting on top of a block of mass M; M stands on a frictionless table and is attac… JEE Main 3rd April 1st Shift 2025
• Two bodies A and B of equal mass hang from two massless springs of spring constants k₁ and k₂ respectively. T… JEE Main 29th Jan 2nd Shift 2025
• [Figure: a block of mass m on a frictionless horizontal surface, joined to a left-hand wall by a spring of co… JEE Main 6th April 1st Shift 2023
• [Figure: a block on a frictionless horizontal surface attached by a spring to a rigid wall.] For a mass-sprin… JEE Main 30th Jan 2nd Shift 2023
• [Figure: (A) a block of mass m on a frictionless floor with a block of mass 2m fixed on top of it, joined by… JEE Main 25th July 1st Shift 2022
• Two massless springs of constants 2k and 9k carry masses of 50 g and 100 g at their free ends. The two masses… JEE Main 24th June 2nd Shift 2022
• Two particles A and B of equal mass hang from two massless springs of spring constants K₁ and K₂ respectively… JEE Main 17th March 2nd Shift 2021, 2003
• [Figure: a block of mass M on a frictionless horizontal surface, attached by a spring of constant k to a rigi… JEE Main 24th Feb 1st Shift 2021
• [Figure: a smooth plane inclined at angle α; a body of mass M lies on it, held between two springs each of co… JEE Main 24th Feb 2nd Shift 2021
• [Figure: a block of mass m on a horizontal surface, joined by an identical spring of constant 2k to a fixed s… JEE Main 25th Feb 2nd Shift 2021
• If two similar springs, each of spring constant K₁, are joined in series, the new spring constant and the new… JEE Main 26th Feb 1st Shift 2021
• A block of mass m attached to a massless spring performs oscillations of amplitude A on a frictionless horizo… JEE Main 3rd Sept 1st Shift 2020
• An oscillator of mass M rests at its equilibrium position in the potential V=1/2 k(x-X)². A particle of mass… JEE Main Online 2018
• A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two s… JEE Main Online 2017
• [Figure: a 4 kg block standing on the ground, a vertical spring resting on top of it and a 1 kg block on top… JEE Main Online 2014
• A mass M attached to a horizontal spring executes SHM with amplitude A₁. When M passes through its mean posit… JEE Main 2011
• [Figure: a block of mass m on a horizontal surface, connected to a spring of constant k₁ on one side and a sp… JEE Main 2007
• A particle at the end of one spring executes simple harmonic motion with period t₁, and with a second spring… JEE Main 2004
• A mass M suspended from a light spring is pulled down a little and released, so that it executes SHM of perio… JEE Main 2003
• A spring has time period T with a given mass. If the spring is cut into n equal parts, the time period of the… JEE Main 2002
• A particle of mass 0.50 kg executes simple harmonic motion under the force F=-50 (N m⁻¹) x. The time period o… JEE Main 9th April 2nd Shift 2024
• A mass m hangs from a light spring and the system oscillates with frequency f₁. If a mass 9m is hung from the… JEE Main 1st Feb 2nd Shift 2024
• [Figure: a block of mass M on a frictionless floor, joined to the left-hand wall by a spring of constant k, a… JEE Main 31st Jan 2nd Shift 2024
• A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of am… JEE Main 10th April 2nd Shift 2023
• A block fastened to a horizontal spring on a frictionless surface is pulled from rest to x=10 cm from its equ… JEE Main 1st Feb 2nd Shift 2023
• [Figure: a block of mass 2 kg on a frictionless floor with a spring of constant 20 N m⁻¹ joining it to a rigi… JEE Main 24th Jan 1st Shift 2023
• A mass m attached to the free end of a spring executes SHM with a period of 1 s. If the mass is increased by… JEE Main 24th Jan 2nd Shift 2023
• [Figure: a block of mass M=490 g on a frictionless table, joined to a rigid support on each side by a spring… JEE Main 31st Jan 1st Shift 2023
• [Figure: (a) a block of mass m hanging from a spring of constant k which hangs from a second spring of consta… JEE Main 26th July 2nd Shift 2022
• A mass of 0.9 kg attached to a horizontal spring executes SHM with amplitude A₁. When this mass passes throug… JEE Main 27th July 1st Shift 2022
• [Figure: two blocks A and B on a frictionless horizontal surface, joined to each other by a spring of constan… JEE Main 25th July 1st Shift 2021
• [Figure: Figure 1 shows a mass M hanging from a single spring of constant k; Figure 2 shows the same mass han… JEE Main 17th March 1st Shift 2021