Question

Calculate the de Broglie wavelength of an electron (9.10938 x 10^-31 kg) that is traveling at 0.100% of the speed of light [0.00100 x (2.998 x 10⁸ m/sec)]

wavelength=h/(m*u)

h=6.626 x 10^-34 J*sec ; 1 J = 1 kg x m²/sec²

a. 218 m

b. 1.38 m

c. 2.42 pm

d. 2.42 nm

e. 0.727 mm

Answer 1

Wavelength=h/(m*u)

h=6.626 x 10^-34 J*sec

Speed =0.00100 x (2.998 x 10^8 m/sec)]

Electron mass=9.10938 x 10-31 kg

By calculation ,

Wavelength=6.626 x 10^-34 J*sec/(9.10938 x 10-31 kg ×0.00100 x 2.998 x 10^8 m/sec)

=2.42×10^-9

=2.42nm

Option d is currect answer