STANDARDPhysics-Electrostatics

STANDARD Physics Gauss's Law MCQ Question

Type: MCQ-conceptual-Medium

A hollow cylinder has a charge q coulombs located within it symmetrically. If ϕ is the electric flux in units of volt-meter associated with the curved surface B, the flux linked with the plane surface A in units of volt-meters will be :-

A

q/ε₀ - ϕ

B

1/2 [q/ε₀ - ϕ]

C

q/2ε₀

D

ϕ/3

Correct Answer

Option B

Detailed Explanation

By symmetry, the same flux passes through plane surfaces A and C. Using Gauss's Law, the net flux through the closed surface is q/ε₀. Therefore, the flux linked with surface A is 1/2 [q/ε₀ - ϕ].

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