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Important Questions

Gauss' theorem

ICSE · Class 12 · Physics

Most important questions from Gauss' theorem for ICSE Class 12 Physics board exam 2026. MCQs, short answer, and long answer questions with marks.

107 questions31 flashcards5 concepts

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107 Questions·
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Sample Questions

1multiple choice
3 marks

A large plane sheet has surface charge density 1.77 × 10^-11 C·m^-2. Find the electric field near the sheet and the field between two such sheets carrying equal and opposite charge densities of this magnitude.

Show answer

E near one sheet = 1.0 N·C^-1, field between opposite sheets = 2.0 N·C^-1

For one infinite plane sheet, E = σ/(2ε₀). With σ = 1.77 × 10^-11 C·m^-2, E = 1.77 × 10^-11 /(2 × 8.85 × 10^-12) = 1.0 N·C^-1. For two equal and opposite sheets, the fields add between the sheets, so E = σ/ε₀ = 2.0 N·C^-1.

2multiple choice
3 marks

A conducting sphere of radius 0.30 m carries charge 2.7 μC. Find the electric field just outside the surface and the electric field inside the sphere.

Show answer

E just outside = 2.7 × 10^5 N·C^-1, E inside = 0

Just outside a charged conductor, E = σ/ε₀ = q/(4πR²ε₀). With q = 2.7 × 10^-6 C and R = 0.30 m, E = 9.0 × 10^9 × 2.7 × 10^-6 / 0.09 = 2.7 × 10^5 N·C^-1. Inside a charged conducting sphere, the electric field is zero.

3multiple choice
3 marks

A uniformly charged non-conducting sphere has radius 0.50 m and total charge 6.0 μC. Find the electric field at r = 0.20 m from the centre.

Show answer

4.32 × 10^4 N·C^-1

Inside a uniformly charged non-conducting sphere, E = (1/4πε₀)(qr/R³). Substituting q = 6.0 × 10^-6 C, r = 0.20 m, R = 0.50 m gives E = 9.0 × 10^9 × 6.0 × 10^-6 × 0.20 / 0.125 = 4.32 × 10^4 N·C^-1.

4multiple choice
3 marks

A cube encloses a charge of 1.5 μC at any position inside it. Find the total electric flux through the cube, and then the flux if a second charge of -0.5 μC is also enclosed.

Show answer

Flux = 1.69 × 10^5 N·m²·C^-1, then 1.13 × 10^5 N·m²·C^-1

Net flux through a closed surface is Φ_E = q/ε₀. For 1.5 μC, Φ_E = 1.5 × 10^-6 / 8.85 × 10^-12 ≈ 1.69 × 10^5 N·m²·C^-1. With an added -0.5 μC, net charge becomes 1.0 μC, so flux becomes 1.0 × 10^-6 / 8.85 × 10^-12 ≈ 1.13 × 10^5 N·m²·C^-1.

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Frequently Asked Questions

What are the important topics in Gauss' theorem for ICSE Class 12 Physics?
Key topics in Gauss' theorem include Gauss Theorem Concept Hierarchy, Gauss' Theorem Concept Map, Gauss' Theorem Concept Hierarchy. These are the concepts ICSE Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Gauss' theorem — ICSE Class 12 Physics?
Understand the core concepts first, then work through the 107 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Gauss' theorem?
There are 107 practice questions available for Gauss' theorem. These cover multiple question types including MCQs, short answer, and long answer questions.

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