🛠️ JEE🧲 Physics

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

Q1

Which of the following equations is dimensionally incorrect?
Where \(t =\) time, \(h =\) height, \(s =\) surface tension, \(\theta =\) angle, \(\rho =\) density, \(a,r =\) radius, \(g =\) acceleration due to gravity, \(V=\) volume, \(p =\) pressure, \(W =\) work done, \(\Gamma =\) torque, \(\in =\) permittivity, \(E =\) electric field, \(J =\) current density, \(L =\) length.

[JEE Main 2021, 31 Aug (Shift 1)]

a

\(v = \frac{\text{πp}a^{4}}{8\eta L}\)

b

\(h = \frac{2scos\theta}{\text{ρrg}}\)

c

\(J = \epsilon \frac{\partial E}{\partial t}\)

d

\(W = \Gamma\theta\)

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