Physics Electrostatics Potential & Capacitance JEE (Main) / AIEEE Problems Previous Years - ( Capacitance ) MCQ (Single Correct)

This question has statement-I and statement-II. Of the four choices given after the statements, choose the one that best describes the two statements. An insulating solid sphere of radius R has a uniformly positive charge density ρ. As a result of this uniform charge distribution there is a finite value of electric potential at the center of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinite is zero.

Statement-I: When a charge ‘q’ is taken from the center to the surface of the sphere its potential energy changes by .

Statement-II: The electric field at a distance r (r < R) from the center of the sphere is

A
Statement-I is true, Statement-II is true; Statement-II is not the correct explanation of statement-I.
B
Statement I is true Statement II is false.
C
Statement I is false Statement II is true.
D
Statement I is true, Statement II is true, Statement II is the correct explanation of Statement I.

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Text Solution

Verified by Experts
The correct answer is:
C

U c =

U S =

∴ Δ U =

= =

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