Calculate the speed of an electron whose kinetic energy is 10 keV .

Step-by-step solution

Given: Kinetic energy of the electron, K = 10 keV = 10 10^3 eV Converting kinetic energy into Joules: K = 10^4 1.6 10⁻¹⁹ J = 1.6 10⁻¹⁵ J Mass of an electron, m = 9.1 10⁻³¹ kg Using the non-relativistic formula for kinetic energy: K = 1 2 m v^2 Rearranging for speed v : v = 2K m Substituting the values: v = 2 1.6 10⁻¹⁵ 9.1 10⁻³¹ v = 3.2 10⁻¹⁵ 9.1 10⁻³¹ v = 0.3516 10¹⁶ v 5.93 10^7 m s ⁻¹ Answer: 5.93 10⁷ m s ⁻¹