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An infinitely long wire has uniform linear charge density \(\lambda =2\mathrm{nC}/\mathrm{m}\). The net flux through a G…

Q1

An infinitely long wire has uniform linear charge density \(\lambda =2\mathrm{nC}/\mathrm{m}\). The net flux through a Gaussian cube of side length \(\sqrt{3}\mathrm{cm}\), if the wire passes through any two corners of the cube, that are maximally displaced from each other, would be \({\mathrm{xNm}}^{2}{\mathrm{C}}^{-1}\), where x is :
[Neglect any edge effects and use \(\frac{1}{4\pi {\epsilon }_{0}}=9\times {10}^{9}\) SI units]

[JEE Main 2025, 8 Apr (Shift 1)]

a

\(0.72\pi\)

b

\(1.44\pi\)

c

\(6.48\pi\)

d

\(2.16\pi\)

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