Which of the following equations is dimensionally incorrect? Where t = time, h = height, s = surface tension…

Which of the following equations is dimensionally incorrect?

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

  1. W=τθ
  2. V=πpa48ηL
  3. h=2scosθρrg
  4. J=ϵEt

Solution

Dimensions of πpa48ηL(volume flow rate) is L3 T1.

Asked in: JEE Main 2021 (31 Aug Shift 1)

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