A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at a distance of 2 cm from the centre of the sphere is

Calculation:
The potential at a point outside a charged spherical shell is given by the formula:

V = k × Q / r

Where:

• V is the potential at a distance r from the center of the sphere,
• k is the electrostatic constant (8.99 × 10⁹ N·m²/C²),
• Q is the charge on the sphere,
• r is the distance from the center of the sphere.

For a hollow sphere, the potential outside the sphere is the same as if all the charge were concentrated at the center. Since the potential at the surface of the sphere (at r = 5 cm) is 10 V, the potential inside the sphere and at any point inside (such as 2 cm from the center) remains the same.

Correct Answer: Option 2 - 10V