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?
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
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