What is the speed of a particle whose kinetic energy is equal to its rest energy.

The speed of the particle whose kinetic energy is equal to its rest energy is 4.242*10⁸m/s.

Explanation:

The rest energy is defined as the energy equal to the mass of the particle at rest in the inertial frame of reference equal to the rest mass time square of speed of light

E₀ = mc²

The kinetic energy is defined as the energy possessed by the particle due to its motion.

K. E = 0.5mv².

where, m is the mass of the particle

c is the speed of light,

v is the velocity of the particle

It is given that Kinetic energy is equal to rest energy ie K. E = E₀

0.5mv² = mc²

v² = 2c²

v = √2c

= 1.414*3*10⁸

v = 4.242 * 10⁸ m/s

The speed of the particle whose kinetic energy is equal to its rest energy is 4.242*10⁸m/s.