Question

Assertion : Two adjacent conductors, carrying the same positive charge have a potential difference between them.
Reason : The potential to which a conductor is raised depends upon the charge.

• A. If both A and R are true, and R is a correct explanation of the A
• B. If both A and R are true, but R is not a correct explanation of the A
• C. If A is true, but R is false
• D. If both A and R are false

Answer 1

Answer: (B)

Let us consider two spherical shells of radii $r_{1}$ and $r_{2}$ which are possessing the same positive charge $Q$. Therefore the potential on the surface of each conductor will be
$V_{1}=\frac{K Q}{r_{1}}$
$V_{2}=\frac{K Q}{r_{2}}$
Since $r_{1} \neq r_{2}, V_{1} \neq V_{2}$ and consequently there will be a potential difference between the two conductors.