Question

An electron wave making a standing wave in a hydrogen atom has a wavelength of 8.94 × 10−11 m. If the mass of an electron is 9.11 × 10−31 kg, what is the velocity of the electron according to de Broglie equation?

Answer 1

given

= wavelength of 8.94 x 10⁻¹¹ m

m = mass of an electron is 9.11 x 10⁻³¹ kg

the velocity of the electron according to de Broglie equation is v = ?

using de Broglie equation = h / m v

here h = planck's constant

= 6.626 x 10^-34 J.sec

= h / m v

8.94 x 10⁻¹¹ = 6.626 x 10^-34 / 9.11 x 10⁻³¹ x v

v = 6.626 x 10^-34 / 9.11 x 10⁻³¹ x 8.94 x 10⁻¹¹

v = 8135711.427 m/sec

or

the velocity of the electron according to de Broglie equation is v = 8.135711427 x 10⁶ m/sec