Question

When a metallic spherical shell of radius 20 cm is charged, the potential on its surface is found to be 5 V. The potential at a point 10 cm from the centre of the spherical shell is:

• A. 10 V
• B. 2.5 V
• C. 1.25 V
• D. 5 V

Hint:

Inside a conducting shell, electric field is zero and potential is constant everywhere.

Answer 1

The Correct Option is D

Step 1: Property of conducting sphere.
Potential inside a conducting shell is constant.

Step 2: Given surface potential.
\[ V = 5V \]

Step 3: Point location.
Given point is at 10 cm < 20 cm (inside shell).

Step 4: Electric field inside conductor.
\[ E = 0 \]

Step 5: Hence potential remains constant.
Potential does not change inside conductor.

Step 6: Therefore.
\[ V_{\text{inside}} = V_{\text{surface}} \]

Step 7: Final Answer.
\[ \boxed{5V} \]