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The force on a point charge +q kept at a distance d from the surface of an infinite grounded metal plate in a medium of permittivity ε is

1. 0
2. q²/(16π ε d²) away from the plate
3. q²/(16π ε d²) towards the plate
4. q²/(4π ε d²) towards the plate

Correct answer: q²/(16π ε d²) towards the plate

Solution

The correct option is based on the principle of image charges, where the grounded metal plate creates an image charge that attracts the real charge towards it. The force is calculated using Coulomb's law, resulting in the specified magnitude and direction towards the plate.

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