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MHT CET 2026 (14 May, Shift 2) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from MHT CET 2026 (14 May, Shift 2)

Q7MHT CET 2026 · 14 MAY · SHIFT 2Easy

Electric Flux & Gauss's Law

An infinite line charge produces a field of $9 \times 10^{8}$ N/C at a distance of $2$ cm. The linear charge density is

$\left(\frac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}\right.$ SI unit $\left.\right)$

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Answer: (a)

Line charge: $E = \dfrac{\lambda}{2\pi\varepsilon_0 r} = \dfrac{2k\lambda}{r}$ , with $k = 9 \times 10^{9}$ .
$\lambda = \dfrac{E r}{2k} = \dfrac{9 \times 10^{8} \times 0.02}{2 \times 9 \times 10^{9}}$
$\lambda = 10^{-3}$ C/m
So the answer is (a).

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