PYQ Vault

Pick the dimensionally correct (or incorrect) equation

This type of question, asked 3 times: 2021 Paper 22, 4 Apr 2024, 24 Jan 2025. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 22

    16
    Which of the following equations is dimensionally incorrect? Where t=t = time, h=h = height, s=s = surface tension, θ=\theta = angle,ρ=\rho = density ,a,r=,a,r = radius, g=g = acceleration due to gravity, v=v = volume , p=p = pressure, W=W = work done, Γ=\Gamma = torque, ϵ=\epsilon = permittivity, E=E = electric field, J=J = current density, L=L = length.

    Tap an option to check your answer.

  2. Question 2

    4 Apr 2024

    109
    Applying the principle of homogeneity of dimensions, determine which one is correct. where TT is time period, GG is gravitational constant, MM is mass, rr is radius of orbit.

    Tap an option to check your answer.

  3. Question 3

    24 Jan 2025

    92
    The energy EE and momentum pp of a moving body of mass mm are related by some equation. Given that c represents the speed of light, identify the correct equation.

    Tap an option to check your answer.