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Question:

Four closed surfaces and corresponding charge distributions are shown below. Let the respective electric fluxes through the surfaces be Φ₁, Φ₂, Φ₃, and Φ₄. Then:

Φ₁>Φ₂>Φ₃>Φ₄

Φ₁>Φ₃; Φ₂<Φ₄

Φ₁=Φ₂=Φ₃=Φ₄

Φ₁<Φ₂=Φ₃>Φ₄

Solution:

Flux through a surface is given by Φ=Σqε, where Σq=Total charge enclosed by surface
⇒Φ₁=2qε
⇒Φ₂=2qε
⇒Φ₃=2qε
⇒Φ₄=2qε
⇒Φ₁=Φ₂=Φ₃=Φ₄
Reason: Outside charges have no effect on the surface (Gauss law)
So, option C is correct.