A particle moves in such a way that its kinetic energy just equals its rest energy.The velocity of this particle is
A)0.866c
B)c/4
C)c
D)0.707c
E)c/2

Question

Quizplus · Accepted Answer

The velocity of a particle when its kinetic energy equals its rest energy is 0.866c, which corresponds to a Lorentz factor (γ) of 2. This is because the rest energy (E₀) is mc², and when kinetic energy (KE) equals rest energy, total energy (E) is 2mc². Using the relation γ = E/E₀ = 2, and γ = 1/√(1-v²/c²), solving for v gives v = 0.866c.

A Particle Moves in Such a Way That Its Kinetic