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Pairs and Combinations with Equal Dimensions for JEE: 27 solved questions

Real JEE paper questions on pairs and combinations with equal dimensions, part of units and measurements. 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

• Pairs with the same dimensions — 25 questions
• Dimensionless combinations — 2 questions

All 27 questions with solutions

• L, C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensiona… JEE Main 5th April 1st Shift 2026
• The equation for real gas is given by (P+a/(V²))(V-b)=RT, where P, V, T and R are the pressure, volume, tempe… JEE Main 2nd April 1st Shift 2025
• Given a charge q, current I and permeability of vacuum μ₀. Which of the following quantity has the dimension… JEE Main 2nd April 2nd Shift 2025
• The dimension of √(μ₀)/(ε₀) is equal to that of (μ₀= Vacuum permeability and ε₀= Vacuum permittivity) JEE Main 7th April 2nd Shift 2025
• The energy E and momentum p of a moving body of mass m are related by some equation. Given that c represents… JEE Main 24th Jan 2nd Shift 2025
• The pair of physical quantities not having same dimensions is JEE Main 29th Jan 1st Shift 2025
• If G be the gravitational constant and u be the energy density then which of the following quantity have the… JEE Main 5th April 1st Shift 2024
• Given below are two statements: Statement (I): Planck's constant and angular momentum have same dimensions. S… JEE Main 27th Jan 1st Shift 2024
• Dimension of 1/(μ₀ε₀) should be equal to JEE Main 8th April 1st Shift 2023
• Which of the following physical quantities have the same dimensions? JEE Main 25th July 2nd Shift 2022
• Identify the pair of physical quantities which have different dimensions JEE Main 24th June 1st Shift 2022
• Identify the pair of physical quantities that have same dimensions JEE Main 24th June 2nd Shift 2022
• If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does n… JEE Main 27th June 2nd Shift 2022
• Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Asserti… JEE Main 28th June 1st Shift 2022
• If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respecti… JEE Main 26th Aug 1st Shift 2021
• If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity… JEE Main 25th Feb 2nd Shift 2021
• If C and V represent capacity and voltage respectively then what are the dimensions of λ, where C/V=λ? JEE Main 26th Feb 2nd Shift 2021
• A quantity x is given by ((IFv²)/(WL⁴)) in terms of moment of inertia I, force F, velocity v, work W and leng… JEE Main 4th Sept 2nd Shift 2020
• The quantities x=1/(√μ₀ε₀), y=E/B and z=l/(CR) are defined where C is capacitance, R is resistance, l is leng… JEE Main 5th Sept 1st Shift 2020
• In SI units, the dimensions of √(ε₀)/(μ₀) is JEE Main 8th April 1st Shift 2019
• Which of the following combinations has the dimension of electrical resistance (ε₀ is the permittivity of vac… JEE Main 12th April 1st Shift 2019
• Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of l… JEE Main 12th Jan 2nd Shift 2019
• A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionle… JEE Main Online 2016
• Out of the following pairs, which one does not have identical dimensions? AIEEE 2005
• The physical quantities not having same dimensions are AIEEE 2003
• Dimensions of 1/(μ₀ε₀), where symbols have their usual meanings, are AIEEE 2003
• Identify the pair whose dimensions are equal. AIEEE 2002