Dual Nature Of Radiation And Matter

Concept: The de Broglie wavelength of a particle is given by

%5Clambda%3D%5Cfrac%7Bh%7D%7Bp%7D

For an electron accelerated through a potential

V

, the wavelength is

%5Clambda%3D%5Cfrac%7B12.27%7D%7B%5Csqrt%7BV%7D%7D%20%5C%20%5Ctext%7B%5CAA%7D

where

V

is in volts.

Step 1: Substitute the value of potential.

V%3D100

%5Clambda%3D%5Cfrac%7B12.27%7D%7B%5Csqrt%7B100%7D%7D

Step 2: Simplify the expression.

%5Csqrt%7B100%7D%3D10

%5Clambda%3D%5Cfrac%7B12.27%7D%7B10%7D

%5Clambda%3D1.227%5C%20%5Ctext%7B%5CAA%7D

Thus, the de Broglie wavelength of the electron is

%5Cboxed%7B1.227%5C%20%5Ctext%7B%5CAA%7D%7D

Chapter Questions
1 MCQs