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Units and Measurements question

2021 · 31 Aug · Shift 1 · Q59
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Units and Measurements question

2021 · 31 Aug · Shift 1 · Q59

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
Which of the following equations is dimensionally incorrect? Where t = time, h = height, s = surface tension, θ\thetaθ= angle, ρ\rhoρ= density, a, r = radius, g = acceleration due to gravity, v = volume, p = pressure, W = work done, T = torque, ∈\in∈ = permittivity, E = electric field, J = current density, L = length.
  1. A
    v=πpa48ηLv = {{\pi p{a^4}} \over {8\eta L}}v=8ηLπpa4​
  2. B
    h=2scos⁡θρrgh = {{2s\cos \theta } \over {\rho rg}}h=ρrg2scosθ​
  3. C
    J=∈∂E∂tJ = \in {{\partial E} \over {\partial t}}J=∈∂t∂E​
  4. D
    W=ΓθW = \Gamma \thetaW=Γθ
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