Home Physics Electrostatics Potential & Capacitance Electric Flux and Gauss's Law Gauss’s law is true only if force due to a c…
Physics Electrostatics Potential & Capacitance Electric Flux and Gauss's Law Single Correct MCQ
Published on: September 12, 2026

Gauss’s law is true only if force due to a charge varies as

A
$r_{v}^{-1}$
B
$r^{-2}$
C
$r^{-3}$
D
$r^{-4}$

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A
Step 1: Analyze Gauss's Law, which states that the electric flux through a closed surface is proportional to the charge enclosed by that surface. The mathematical expression is given by:
$$ \Phi_E = \frac{Q_{enc}}{\epsilon_0} $$
where \( \Phi_E \) is the electric flux, \( Q_{enc} \) is the enclosed charge, and \( \epsilon_0 \) is the permittivity of free space.
Step 2: Recognize that for the law to hold true, the electric field generated by a point charge must vary as \( \frac{1}{r^2} \), where \( r \) is the distance from the charge. This corresponds with Option A, which is commonly depicted as the expression: \( F \propto \frac{1}{r^2} \). Hence, the electric field direction is radially outwards from a point charge and the law is applicable to symmetrical configurations (point, spherical).
Therefore, the correct answer is A.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.