JEE Main202131 Aug 2021Morning ShiftPhysicsUnits and DimensionsActual
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.
Options
- AW = τ θ
- BV = π p a 4 8 η L
- Ch = 2 scos θ ρ r g
- DJ = ϵ ∂ E ∂ t
Correct answer
B. V = π p a 4 8 η L
Step-by-step solution
Dimensions of π p a 4 8 η L (volume flow rate) is L 3   T – 1 .