Question

An electron and a proton each have a thermal kinetic energy of 3k_BT/2. Calculate the de Broglie wavelength of each particle at a temperature of 2090 K. (k_b is Boltzmann's constant, 1.38x10^-23 J/K).

1)Wavelength of the electron = m

2) Wavelength of the proton = m

Answer 1

Thermal kinetic energy of electron or proton

Mass of electron

Mass of proton

We know

de Broglie wavelength

Now

Planck's constant

1)

2)