Q74 / 90 · JEE Main 2021 (31 Aug Shift 1) · Physics

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.

  • A
    W=τθ
  • Correct answer
    B
    V=πpa48ηL
  • C
    h=2scosθρrg
  • D
    J=ϵ∂E∂t

Solution

Dimensions of πpa48ηL(volume flow rate) is L3 T–1.

Hence, the correct answer is option: 'B'.

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