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Byju's Answer

Standard XII

Physics

Surface Integral

Assertion :Fo...

Question

Assertion :Four point charges $q_{1}$ , $q_{2}$ , $q_{3}$ and $q_{4}$ are as shown in figure. The flux over the shown Gaussian surface depends only on charges $q_{1}$ and $q_{2}$ . Reason: Electric field at all points on Gaussian surface depends only charges $q_{1}$ and $q_{2}$ .

Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

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Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

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Assertion is correct but Reason is incorrect.

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Assertion is incorrect but Reason is correct.

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Solution

The correct option is C Assertion is correct but Reason is incorrect.
Since the electric field lines never intersect with each other or themselves, any field lines entering the Gaussian surface from the outside must also leave the surface. Now since the total electric flux passing through a surface depends on the net number of electric field lines passing through that surface, the flux due to any charge, or a system of charges outside a Gaussian surface over its surface is zero.
whereas Electric filed at any point depends on the presence of all charges.

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Similar questions

Q. In the given question, a statement of Assertion

(A)

is given, followed by a corresponding statement of Reason

(R)

just below of it. Mark the correct answer.

Assertion

(A)

: Four point charges

q_{1}, q_{2}, q_{3} and q_{4}

are as shown in figure. The flux over the shown Gaussian surface depends only on charges

q_{1} and q_{2}

Reason

(R)

: Electric field at all points on Gaussian surface depends only on charges

q_{1} and q_{2}

Q. Assertion

(A)

: Four point charges

q_{1}, q_{2}, q_{3}

and

q_{4}

are as shown in figure. The flux over the shown gaussian surface depends only on charges

q_{1}

and

q_{2}

Reason

(R)

: Electric field at all points on gaussian surface is depends only on charges

q_{1}

and

q_{2}

Select the most appropriate answer from the options given below

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.
Reason: Equation of the x-axis is y = 0

Choose the correct option.

Q. Assertion : Two electrons of helium atom are placed in only one shell but three electrons of lithium need two shells.
Reason: A shell can have maximum

{2n}^{2}

electrons.

Assertion (A) All collision of reactant molecules lead to product formation.

Reason (R) Only those collisions in which molecules have correct orientation and sufficient kinetic energy lead to compound formation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

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Assertion :Four point charges q1, q2, q3 and q4 are as shown in figure. The flux over the shown Gaussian surface depends only on charges q1 and q2. Reason: Electric field at all points on Gaussian surface depends only charges q1 and q2.

Assertion :Four point charges $q_{1}$ , $q_{2}$ , $q_{3}$ and $q_{4}$ are as shown in figure. The flux over the shown Gaussian surface depends only on charges $q_{1}$ and $q_{2}$ . Reason: Electric field at all points on Gaussian surface depends only charges $q_{1}$ and $q_{2}$ .