Exercise

What should be the velocity of the electron so that its momentum equals that of $4000 \dot{\mathrm{A}}$ wavelength photon.

Calculate the de Broglie wavelength of a proton whose kinetic energy is equal to $81.9\times {10}^{-15} \mathrm{J}$. (Given: mass of proton is $1836$ times that of electron).

A deuteron and an alpha particle are accelerated with the same potential. Which one of the two has $\left(\mathrm{i}\right)$ greater value of de Broglie wavelength associated with it and $\left(\mathrm{ii}\right)$ less kinetic energy? Explain.

Write down de Broglie's relation and explain the terms therein.

What is the de Broglie wavelength of a ball of mass $0.12 \mathrm{kg}$ moving with a speed of $20 \mathrm{m}/\mathrm{s}$? What can we infer from this result? (Planck's constant $h=6.62\times {10}^{-34} \mathrm{J}·\mathrm{s}$ )

Briefly explain the working of Davisson and Germer experiment.

Describe briefly Davisson-Germer experiment which demonstrated the wave nature of electrons.

Describe the Davisson and Germer experiment. What did this experiment conclusively prove?