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JEE Main 202131 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
31 August
Shift
Morning Shift
Subject
Physics
Chapter
Units and Dimensions

JEE Main 2021 · 31 August · Morning Shift · Physics · Units and Dimensions

Which of the following equations is dimensionally incorrect? Where...

Which of the following equations is dimensionally incorrect?

Where t=t =time, h=h =height, s=s =surface tension, θ=\theta =angle, ρ=ρ =density ,a,r=, a, r =radius, g=g = the acceleration due to gravity, V=V =volume, p=p =pressure, W=W =work done, τ=τ =torque, ϵ=ϵ =permittivity, E=E =electric field, J=J =current density, L=L =length.

Options

  1. AW=τθW = τ\theta
  2. BV=\pipa48ηLV = \dfrac{\pip{a}^{4}}{8ηL}
  3. Ch=2scosθρrgh = \dfrac{2scos\theta}{ρrg}
  4. DJ=ϵ∂E∂tJ = ϵ\dfrac{∂ E}{∂ t}

Correct answer

B. V=\pipa48ηLV = \dfrac{\pip{a}^{4}}{8ηL}

Step-by-step solution

Dimensions of \pipa48ηL\dfrac{\pip{a}^{4}}{8ηL}(volume flow rate) is L3T–1{L}^{3}{T}^{– 1}.
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