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Potential Energy, Conservative Forces and Equilibrium for JEE: 16 solved questions

Real JEE paper questions on potential energy, conservative forces and equilibrium, part of work, energy and power. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2006 to 2026. No sign-in needed to read them.

What this topic asks

• Potential energy functions and force — 13 questions
• Equilibrium and stability — 3 questions

All 16 questions with solutions

• Potential energy (V) versus distance (x) is given by the graph. Rank various regions as per the magnitudes of… JEE Main 21st Jan 1st Shift 2026
• Which one of the following forces cannot be expressed in terms of potential energy? JEE Main 7th April 2nd Shift 2025
• Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Asserti… JEE Main 28th Jan 1st Shift 2025
• The potential energy function (in J) of a particle in a region of space is given as U=(2x²+3y³+2z). Here x, y… JEE Main 29th Jan 1st Shift 2024
• A particle experiences a variable force ⃗F=(4x̂i+3y²̂j) in a horizontal x-y plane. Assume distance in meters… JEE Main 24th June 1st Shift 2022
• Potential energy as a function of r is given by U=A/(r¹⁰)-B/(r⁵), where r is the interatomic distance, A and… JEE Main 24th June 2nd Shift 2022
• Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimen… JEE Main 27th July 2nd Shift 2021
• A particle of mass m moves in a circular orbit under the central potential field, U(r)=-/Cr, where C is a pos… JEE Main 18th March 2nd Shift 2021
• Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The a… JEE Main 4th Sept 2nd Shift 2020
• If the potential energy between two molecules is given by U=-A/(r⁶)+B/(r¹²), then at equilibrium, separation… JEE Main 6th Sept 1st Shift 2020
• A particle is moving in a circular path of radius a under the action of an attractive potential U=-k/(2r²). I… JEE Main 2018
• Two particles of the same mass m are moving in circular orbits because of force, given by F(r)=(-16)/r-r³. Th… JEE Main Online 2018
• A particle is moving in a circle of radius r under the action of a force F=α r² which is directed towards cen… JEE Main Online 2015
• The potential energy function for the force between two atoms in a diatomic molecule is approximately given b… AIEEE 2010
• The potential energy of a 1 kg particle free to move along the x-axis is given by V(x)=((x⁴)/4-(x²)/2) J. The… AIEEE 2006
• The potential energy U of a diatomic molecule is a function dependent on r (interatomic distance) as U=α/(r¹⁰… JEE Main 25th Feb 1st Shift 2021