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NEET UG PHYSICS MCQ: UNITS & MEASUREMENTS

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Analyzing +4 | -1
Which of the following equations is dimensionally incorrect?
Where, tt = time, hh = height , ss = surface tension, θ\theta = angle, ρ=\rho = density, a,ra,r = radius, gg = acceleration due to gravity, VV = Volume, PP = presssure, WW = Work done, τ=\tau = torque, ε=\varepsilon = permittivity, EE = Electric field, JJ = Current density, LL = length
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Correct option: A
V = πpa48ηLV\, = \,\frac{{\pi p{a^4}}}{{8\eta L}}
Option A is dimensionally incorrect because the dimensions on both sides of the equation do not match, indicating an error in the formula.

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