Which of the following physical quantities have the same dimensions? (a) Electric displacement (D) and surface charge density (b) Displacement current and electric field (c) Current density and surface charge density (d) Electric potential and energy

Answer: (a). D = ε₀ E; from Gauss's law D = σ for a charged plane, unit C/m². Surface charge density also has unit C/m²: [L⁻²TA]. Other pairs differ (current vs field, A/m² vs C/m², J/C vs J). So the answer is (a).

Which of the following physical quantities have the same dimensions? | JEE Main 2022 (25 Jul, Shift 1)

Q51JEE Main 2022 · 25 JUL · SHIFT 1Easy

Units & Dimensions

Which of the following physical quantities have the same dimensions?

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Answer: (a)

$D = \varepsilon_0 E$ ; from Gauss's law $D = \sigma$ for a charged plane, unit $\mathrm{C/m^2}$ .
Surface charge density also has unit $\mathrm{C/m^2}$ : $[\mathrm{L^{-2}TA}]$ .
Other pairs differ (current vs field, $\mathrm{A/m^2}$ vs $\mathrm{C/m^2}$ , J/C vs J).
So the answer is (a).

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