42. The speed of an electron in a particle accelerator is 0.95c. Find its de Broglie wavelength. (Use relativistic momentum.)

Check Your Understanding What is de Broglie’s wavelength of a non-relativistic proton with a kinetic energy of 1.0 eV?

The kinetic energy of an electron accelerated in an x-ray tube is 100 keV. Assuming it is nonrelativistic, what is its wavelength?

(a) What is the momentum of a 0.0100-nm-wavelength photon that could detect details of an atom? (b) What is its energy in MeV?

What is the kinetic energy of a 0.01-nm electron in a TEM?

(a) The lifetime of a highly unstable nucleus is 10-20. What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.

What is the velocity of a 0.400-kg billiard ball if its wavelength is 7.50 fm?

What is the kinetic energy of an electron in a TEM having a 0.0100-nm wavelength?

(a) Calculate the wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light. (b) What is the energy of the photon in MeV? (c) What is the kinetic energy of the proton in MeV?

The velocity of a proton emerging from a Van de Graaff accelerator is 25.0% of the speed of light. (a) What is the proton's wavelength? (b) What is its kinetic energy, assuming it is nonrelativistic? (c) What was the equivalent voltage through which it was accelerated?