A point charge causes an electric flux of $-2\times {10}^{4}N{m}^{2}{C}^{-1}$ to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is :
(Given ${ϵ}_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}$ )

[JEE Main 2025, 29 Jan (Shift 2)]

Question

A point charge causes an electric flux of $-2\times {10}^{4}N{m}^{2}{C}^{-1}$ to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is :
(Given ${ϵ}_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}$ )

[JEE Main 2025, 29 Jan (Shift 2)]

YESPYQ · Accepted Answer

Correct answer: c) $-17.7\times {10}^{-8}C$. According to Gauss's Law, $\Phi =\frac{q}{{ϵ}_{0}}\ \text{ or, }q=\Phi \times {ϵ}_{0}\ q=\left(-2\times {10}^{4}\right)\times \left(8.85\times {10}^{-12}\right)\ q=-17.7\times {10}^{-8}C$

A point charge causes an electric flux of \(-2\times {10}^{4}N{m}^{2}{C}^{-1}\) to pass through a spherical Gaussian sur…

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