Question Detail

PHY 102 Test Compilation PHY 102 16 Objective Question

Question

Which of the following is TRUE of THE APPLICATION OF Gauss's law
Options
A For spherical charge distribution, the Gaussian surface is a sphere
B For a charge distributions that have the symmetry of an infinite surface uniform plane, the Gaussian surface is a plane
C For a charge distributions that have the symmetry of an infinite surface uniform plane, the Gaussian surface is a "coin-shaped" flat cylinder.
Correct Answer
D For charge distribution that have the symmetry of an infinitely long cylinder or wire, the Gaussian surface is coaxial cylinder
Correct Answer

Option C is the correct answer.

Detailed Explanation

Gauss's law is most useful when the charge distribution possesses high symmetry, allowing for the selection of a Gaussian surface where the electric field is either constant and perpendicular to the surface, or parallel (zero flux) to the surface. Let's analyze the options:A. For spherical charge distribution, a concentric sphere is indeed the appropriate Gaussian surface. (True)B. For an infinite uniform plane, a single plane cannot be a closed Gaussian surface that encloses a volume. The Gaussian surface should enclose a volume. (False)C. For an infinite uniform plane charge distribution, a "coin-shaped" flat cylinder (often called a 'pillbox') is the appropriate Gaussian surface. Its flat ends are parallel to the plane, and its curved surface is perpendicular. (True)D. For an infinitely long cylinder or wire, a coaxial cylinder is the appropriate Gaussian surface. (True)Since the question asks for 'TRUE' and options A, C, and D are all correct statements about the application of Gauss's law for different symmetries, the question is somewhat ambiguous. However, option C provides a very specific and correct description of the Gaussian surface for an infinite plane, which is a common application. In cases of multiple correct options, the most detailed or representative one is often preferred.

Hint

Consider the appropriate Gaussian surface that exploits the symmetry of each charge distribution to simplify the flux calculation using Gauss's Law.

Question Info