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Deriving Relations by Dimensional Analysis for JEE: 11 solved questions

Real JEE paper questions on deriving relations by dimensional analysis, part of units and measurements. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2013 to 2026. No sign-in needed to read them.

What this topic asks

• Deriving a relation by dimensional analysis — 11 questions

All 11 questions with solutions

• Consider the equation H=(x^pε^qE^r)/(t^s), where H= magnetic field, E= electric field, ε= permittivity, x= di… JEE Main 8th April 2nd Shift 2026
• Applying the principle of homogeneity of dimensions, determine which one is correct, where T is time period,… JEE Main 4th April 2nd Shift 2024
• The speed of a wave produced in water is given by v=λ^ag^bρ^c. Where λ, g and ρ are wavelength of wave, accel… JEE Main 15th April 1st Shift 2023
• The frequency ( u) of an oscillating liquid drop may depend upon radius (r) of the drop, density (ρ) of liqui… JEE Main 24th Jan 2nd Shift 2023
• Given below are two statements: One is labelled as Assertion (A) and other is labelled as Reason (R). Asserti… JEE Main 29th July 1st Shift 2022
• If ρ is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diam… JEE Main 26th June 2nd Shift 2022
• Which of the following equations is dimensionally incorrect? where t= time, h= height, s= surface tension, θ=… JEE Main 31st Aug 1st Shift 2021
• Assume that the displacement (s) of air is proportional to the pressure difference (Δ P) created by a sound w… JEE Main 5th Sept 1st Shift 2020
• A beaker contains a fluid of density ρ kg/m³, specific heat S J/kg °C and viscosity η. The beaker is filled u… JEE Main Online 2015
• If the time period t of the oscillation of a drop of liquid of density d, radius r, vibrating under surface t… JEE Main Online 2013
• A ball of radius r and density ρ dropped through a viscous liquid of density σ and viscosity η attains its te… JEE Main 23rd Jan 2nd Shift 2026