Gauss Law Meaning: Gauss’s Law is one of the most important laws of electrostatics. It states that the total electric flux passing through any closed surface is equal to the net charge enclosed inside that surface divided by the permittivity of free space. Gauss Law is widely used to calculate electric fields due to conducting spheres, non-conducting solid spheres, spherical shells, infinite line charges and infinite plane sheets. This chapter is extremely important for CBSE Class 12 Physics, NEET, JEE Main and JEE Advanced examinations.

Gauss Law Meaning | Full Width MCQs with Exam Sources

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Gauss Law Meaning

Gauss's Law is one of the most important laws of electrostatics. It states that the total electric flux passing through any closed surface is equal to the net charge enclosed inside that surface divided by the permittivity of free space. It is widely used to calculate electric fields due to conducting spheres, non-conducting solid spheres, spherical shells, infinite line charges and infinite plane sheets.

Φ = Q_enclosed / ε₀

E_wire = λ / 2πε₀r

E_sheet = σ / 2ε₀

Exam Source Questions Practice MCQs Verified Sources

Total flux depends on enclosed charge, not the shape of the closed surface. Φ = q/ε₀ for charge q inside the surface.

Source Mapping

नीचे source labels साफ रखे गए हैं। Exact PYQ/SQP सिर्फ official paper से लिया गया है; IB, IGCSE और NEET cards official syllabus-linked practice हैं, ताकि कोई गलत year-wise claim न हो।

IIT / JEE Advanced Official past question paper archive से year-wise source. इस page में 2024 Paper 2 का adapted question है।

CBSE Class XII CBSE 2025-26 Physics SQP और syllabus से electrostatics/Gauss theorem coverage.

NEET / NTA NTA NEET 2025 syllabus Unit 11 में electric flux और Gauss's law applications listed हैं।

IB DP Physics IB Physics first assessment 2025 brief में Fields theme और electric/magnetic fields listed हैं।

Cambridge IGCSE IGCSE Physics 0625 2026-28 syllabus में electric charge and electric field patterns listed हैं।

Note: IB और Cambridge IGCSE past papers copyrighted/access-controlled हो सकते हैं, इसलिए यहां उनके exact paper questions नहीं दोहराए गए हैं।

Exam Source Questions

हर question के आगे exam/source/year badge दिया गया है। “Adapted” का मतलब है कि official source से idea लिया गया है और wording classroom-use के लिए बदली गई है।

Gauss Law Practice MCQs

ये conceptual practice questions CBSE Class 12, NEET और JEE foundation level के लिए हैं।

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Question 1

A charge q is placed at the centre of a cube. Electric flux through one face is:

A. q/ε₀

B. q/2ε₀

C. q/4ε₀

D. q/6ε₀

Correct Answer: D

Question 2

A charge q is placed at one corner of a cube. Flux through the cube is:

A. q/ε₀

B. q/2ε₀

C. q/8ε₀

D. q/4ε₀

Correct Answer: C

Question 3

A charge q is placed at the midpoint of an edge of a cube. Net flux through the cube is:

A. q/ε₀

B. q/2ε₀

C. q/4ε₀

D. q/6ε₀

Correct Answer: C

Question 4

A charge q is placed at the centre of a conducting spherical shell. Flux through the shell is:

A. 0

B. q/2ε₀

C. q/ε₀

D. 2q/ε₀

Correct Answer: C

Question 5

A charge is outside a closed surface. Net electric flux through the surface is:

A. Positive

B. Negative

C. Zero

D. Infinite

Correct Answer: C

Question 6

Two charges +q and –q are enclosed by a Gaussian surface. Net flux is:

A. q/ε₀

B. 2q/ε₀

C. Zero

D. q/2ε₀

Correct Answer: C

Question 7

Inside a conducting sphere in electrostatic equilibrium, electric field is:

A. Infinite

B. Constant

C. Zero

D. Variable

Correct Answer: C

Question 8

For a uniformly charged non-conducting solid sphere, electric field inside varies as:

A. 1/r²

B. r

C. Constant

D. 1/r

Correct Answer: B

Question 9

Electric field outside a uniformly charged spherical shell varies as:

A. r

B. Constant

C. 1/r

D. 1/r²

Correct Answer: D

Question 10

Electric field inside a uniformly charged spherical shell is:

A. Infinite

B. Zero

C. Constant

D. 1/r²

Correct Answer: B

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Question 11

A conducting sphere carries charge Q. The electric field at the centre is:

A. Q/4πε₀R²

B. Infinite

C. Zero

D. Q/ε₀

Correct Answer: C

Question 12

A conducting sphere of radius R carries charge Q. Electric field at its surface is:

A. Q/4πε₀R²

B. Zero

C. Q/ε₀

D. Infinite

Correct Answer: A

Question 13

A uniformly charged non-conducting solid sphere has charge Q and radius R. Electric field at the centre is:

A. Infinite

B. Zero

C. Q/4πε₀R²

D. Constant

Correct Answer: B

Question 14

Inside a uniformly charged solid sphere, electric field varies as:

A. 1/r²

B. 1/r

C. r

D. Constant

Correct Answer: C

Question 15

Outside a uniformly charged solid sphere, electric field varies as:

A. r

B. Constant

C. 1/r

D. 1/r²

Correct Answer: D

Question 16

A point charge q is enclosed inside a spherical Gaussian surface. Total flux through the surface is:

A. q/ε₀

B. q/2ε₀

C. 2q/ε₀

D. Zero

Correct Answer: A

Question 17

A charge is placed outside a sphere. Electric flux through the sphere is:

A. q/ε₀

B. q/2ε₀

C. Zero

D. Infinite

Correct Answer: C

Question 18

The total electric flux through any closed surface depends upon:

A. Shape of surface

B. Area of surface

C. Charge enclosed

D. Radius of surface

Correct Answer: C

Question 19

A charge q is at the centre of a cube. Flux through three adjacent faces together is:

A. q/2ε₀

B. q/3ε₀

C. q/6ε₀

D. q/12ε₀

Correct Answer: A

Question 20

A charge q is placed at the corner of a cube. Flux through each outer face not containing the charge is:

A. q/24ε₀

B. q/8ε₀

C. q/6ε₀

D. q/12ε₀

Correct Answer: A

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Question 21

A point charge q is placed at the centre of a sphere. The electric flux through the hemisphere is:

A. q/ε₀

B. q/2ε₀

C. q/4ε₀

D. Zero

Correct Answer: B

Question 22

A point charge q is placed at the centre of a cube. Flux through two adjacent faces is:

A. q/3ε₀

B. q/6ε₀

C. q/2ε₀

D. q/12ε₀

Correct Answer: A

Question 23

A charge q is placed at the centre of a spherical shell. Electric field inside the shell is:

A. Constant

B. Infinite

C. Zero

D. q/4πε₀R²

Correct Answer: C

Question 24

The SI unit of electric flux is:

A. N/C

B. Nm²/C

C. C/N

D. Volt

Correct Answer: B

Question 25

A cube is placed in a uniform electric field. Net electric flux through the cube is:

A. EA

B. 2EA

C. Zero

D. E/A

Correct Answer: C

Question 26

For an infinite line charge, electric field varies as:

A. 1/r²

B. r

C. 1/r

D. Constant

Correct Answer: C

Question 27

For an infinite plane sheet of charge, electric field is:

A. 1/r²

B. Constant

C. 1/r

D. r

Correct Answer: B

Question 28

A Gaussian surface encloses charges +2q and +3q. Net flux is:

A. 5q/ε₀

B. q/ε₀

C. 2q/ε₀

D. 3q/ε₀

Correct Answer: A

Question 29

A Gaussian surface encloses charges +5q and -2q. Net flux is:

A. 7q/ε₀

B. 3q/ε₀

C. q/ε₀

D. Zero

Correct Answer: B

Question 30

Electric field at the centre of a uniformly charged spherical shell is:

A. Infinite

B. Constant

C. Zero

D. Depends on radius

Correct Answer: C

Question 31

Flux through a closed surface enclosing no charge is:

A. q/ε₀

B. Infinite

C. Zero

D. Constant

Correct Answer: C

Question 32

The electric field inside a conductor in electrostatic equilibrium is:

A. Constant

B. Infinite

C. Zero

D. Variable

Correct Answer: C

Question 33

Electric flux depends upon:

A. Charge enclosed

B. Shape of surface

C. Material of surface

D. Radius only

Correct Answer: A

Question 34

The electric field outside a conducting sphere behaves as:

A. Infinite line charge

B. Point charge at centre

C. Uniform sheet

D. Dipole

Correct Answer: B

Question 35

A point charge is placed exactly on a Gaussian surface. Net flux through the surface is:

A. q/ε₀

B. q/2ε₀

C. Zero

D. Infinite

Correct Answer: B

Question 36

Electric field at distance r from an infinite line charge λ is:

A. λ/2πε₀r

B. λ/4πε₀r²

C. λr/ε₀

D. Constant

Correct Answer: A

Question 37

Electric field due to an infinite sheet of charge σ is:

A. σ/2ε₀

B. σ/4πε₀

C. σ/r²

D. Zero

Correct Answer: A

Question 38

Which Gaussian surface is most suitable for an infinite line charge?

A. Sphere

B. Cube

C. Cylinder

D. Cone

Correct Answer: C

Question 39

Which Gaussian surface is most suitable for an infinite plane sheet?

A. Sphere

B. Pillbox Cylinder

C. Cone

D. Cube

Correct Answer: B

Question 40

A uniformly charged conducting sphere has charge Q. The charge resides:

A. At centre only

B. Uniformly in volume

C. On outer surface

D. On inner surface only

Correct Answer: C

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Need Personal Help in Physics?

If you are struggling with Physics concepts, numerical problems, Electric Flux, Gauss's Law, Electrostatics, Current Electricity, Magnetism or Modern Physics, and you are unable to understand books like H.C. Verma, I.E. Irodov, Resnick Halliday Walker, coaching modules or school notes, then you can learn directly from Kumar Sir.

Kumar Sir provides One-to-One Personal Attention, individual doubt solving sessions, concept building, board preparation, NEET preparation, JEE Main preparation and JEE Advanced problem solving classes.

📞 Call / WhatsApp: +91 9958461445

🌐 Website: kumarphysicsclasses.com

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