Chapter 38, Problem 34A

To determine

The electrons that have the greater de Broglie wavelength.

Explanation of Solution

Introduction:

The momentum of the electron depends on the speed of the electron. The wavelength of the electron varies inversely with the momentum of the electron.

The speed of the electrons in one beam is greater than the speed of electron in another beam, so the momentum of the electrons in one beam is also greater than the momentum of the electrons in another beam.

The de Broglie wavelength of the electron varies inversely with the momentum of the electron. The de Broglie wavelength of electrons in the beam of greater speed is less than the de Broglie wavelength of the electrons in the beam of lower speed electron because the momentum of greater beam electrons is more than the momentum of lower beam of electrons.

Conclusion:

The de Broglie wavelength of beam electrons of the lower speed is longer than that beam of greater speed electrons beam.