An electron is accelerated through a potential difference of 45.5 ~V . The velocity acquired by it (in ms ⁻¹ ) is

Step-by-step solution

Given, potential difference, V=45.5 ~V Velocity, v= ? Energy acquired by the electron after getling accelerated through the potential difference V is eV , which is equal to its kinetic energy. Hence, kinetic energy ( KE )= 1 2 m_ e v²=e V v= 2 e V m_ e [where, m_ e = mass of electron] Substituting the given values, we get aligned v &= 2 1.6 10⁻¹⁹ 45.4 9.11 10⁻³¹ &= 16 10¹² =4 10⁶ ~ms ⁻¹ aligned ###0