Q.

Choose the incorrect statement.

A. The electric lines of force entering into a Gaussian surface provide negative flux.

B. A charge q is placed at the centre of a cube. The flux through all the faces will be the same.

C. In a uniform electric field net flux through a closed Gaussian surface containing no net charge is zero.

D. When electric field is parallel to a Gaussian surface, it provides a finite non-zero flux.

Choose the most appropriate answer from the options given below.

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a

Only (D)

b

(C) and (D)

c

(A) and (C)

d

(B) and (D)

answer is C.

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Detailed Solution

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Electric flux of electric field lines entering into a Gaussian surface is considered negative.

When a charge is placed at the center of a cube, Due to symmetry the flux through all the faces will be the same.

In a uniform electric field net flux through a closed Gaussian surface containing no net charge will be zero, because the flux of the field lines entering the surface will be equal to the flux of the field lines leaving the surface.

So, in the given statements (a), (b) and (c) are correct.

Since, if electric field lines of force (or electric field) is parallel to Gaussian surface, then angle between normal to surface and electric field is θ = 90°.

 By equation of electric flux

ϕ=EAcosθ=EAcos90=0

Hence, electric flux will be zero in this situation.

Hence, only the statement D is incorrect.

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Choose the incorrect statement.A. The electric lines of force entering into a Gaussian surface provide negative flux.B. A charge q is placed at the centre of a cube. The flux through all the faces will be the same.C. In a uniform electric field net flux through a closed Gaussian surface containing no net charge is zero.D. When electric field is parallel to a Gaussian surface, it provides a finite non-zero flux.Choose the most appropriate answer from the options given below.