De Broglie Hypothesis

The wavelength of an electron can be calculated using the de Broglie relation:

%5Clambda%20%3D%20%5Cfrac%7Bh%7D%7Bmv%7D

Where:
-

h

is Planck's constant,

6.626%20%5Ctimes%2010%5E%7B-34%7D%20%5C%2C%20%5Ctext%7BJ%7D%20%5Ccdot%20%5Ctext%7Bs%7D

,
-

m

is the mass of the electron,

9.1%20%5Ctimes%2010%5E%7B-31%7D%20%5C%2C%20%5Ctext%7Bkg%7D

,
-

v

is the velocity of the electron,

2.2%20%5Ctimes%2010%5E7%20%5C%2C%20%5Ctext%7Bms%7D%5E%7B-1%7D

.
Substitute the values into the formula:

%5Clambda%20%3D%20%5Cfrac%7B6.626%20%5Ctimes%2010%5E%7B-34%7D%7D%7B(9.1%20%5Ctimes%2010%5E%7B-31%7D)(2.2%20%5Ctimes%2010%5E7)%7D%20%5Capprox%203.3%20%5Ctimes%2010%5E%7B-11%7D%20%5C%2C%20%5Ctext%7Bm%7D.

Thus, the wavelength of the electron is

3.3%20%5Ctimes%2010%5E%7B-11%7D%20%5C%2C%20%5Ctext%7Bm%7D

Chapter Questions
1 MCQs