Question

If drift velocity of electron be \( v_d \) and intensity of electric field \( E \), then which relation among the following obeys Ohm's law?

• A. \( v_d \propto E^2 \)
• B. \( v_d = \text{Constant} \)
• C. \( v_d \propto E \)
• D. \( v_d \propto \sqrt{E} \)

Hint:

Ohms law states that the drift velocity of charge carriers is proportional to the applied electric field, leading to a constant current for a given resistance.

Answer 1

The Correct Option is C

The path of scattered \( \alpha \)-particles in Rutherford scattering is hyperbolic. When an \( \alpha \)-particle is scattered by a nucleus, the path is determined by the repulsive electrostatic force, resulting in a hyperbolic trajectory.