The electric flux is φ = ασ + βλ where λ and σ are linear and surface charge density, respectively. ((α)/(β)) represents (a) displacement (b) charge (c) electric field (d) area

Answer: (a). Both terms have the same dimensions: ασ = βλ dimensionally. (α)/(β) = (λ)/(σ) = (C/m)/(C/m²) = m A length, so the answer is (a) displacement.

The electric flux is φ = ασ + βλ where λ and σ are linear and surface… | JEE Main 2025 (23 Jan, Shift 1)

Q15JEE Main 2025 · 23 JAN · SHIFT 1Easy

Electric Flux & Gauss's Law

The electric flux is $\phi = \alpha\sigma + \beta\lambda$ where $\lambda$ and $\sigma$ are linear and surface charge density, respectively. $\left(\frac{\alpha}{\beta}\right)$ represents

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Answer: (a)

Both terms have the same dimensions: $\alpha\sigma = \beta\lambda$ dimensionally.
$\dfrac{\alpha}{\beta} = \dfrac{\lambda}{\sigma} = \dfrac{\text{C/m}}{\text{C/m}^2} = \text{m}$
A length, so the answer is (a) displacement.

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