Chapter 38, Problem 36A

To determine

Whether the de Broglie wavelength of the proton become longer or shorter due to increase in velocity of proton.

Explanation of Solution

Introduction:

The de Broglie wavelength of the proton varies with the momentum of the proton. As the mass of the proton remain for all the velocities, so the de Broglie wavelength of the proton varies with the velocity of the proton.

The de Broglie wavelength of the proton varies inversely with the momentum of the proton but the mass of the proton remain constant, so the de Broglie wavelength only depends on the velocity of the proton.

The de Broglie wavelength of proton decreases because de Broglie wavelength and velocity varies inversely.

Conclusion:

The de Broglie wavelength of the proton become shorter due to increase in velocity.