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In this lesson, we will learn how to calculate the de Broglie wavelength of high-energy particles and macroscopic objects.

Q1:

What is the de Broglie wavelength of a proton whose kinetic energy is 2.0 MeV?

Q2:

What is the de Broglie wavelength of an electron travelling at a speed of 5 . 0 0 0 Γ 1 0 ο¬ m/s?

Q3:

What is the wavelength of an electron that is moving at a 3 . 0 0 % of the speed of light?

Q4:

What is the de Broglie wavelength of a proton whose kinetic energy is 10 MeV?

Q5:

A proton in an accelerator has an energy of 1.00-TeV.

Find the Lorentz factor πΎ for the proton.

Find the DeBroglie wavelength for the proton.

Q6:

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

Q7:

At what velocity will an electron have a wavelength of 2.11 m?

Q8:

What is the kinetic energy of a 0.0300 nm wavelength electron in a tunneling electron microscope?

Q9:

What is the wavelength of an electron accelerated from rest by a 36.7 keV potential difference?

Q10:

What is the de Broglie wavelength of a 70 kg football player running at a speed of 6.5 m/s?

Q11:

At what velocity does a proton with a 5.80 fm wavelength move? Give your answer in units of π .

Q12:

Find the wavelength of a proton that is movingv at 3.40% of the speed of light.

Q13:

What is the de Broglie wavelength of an electron that is accelerated from rest through a potential difference of 16 keV?

Q14:

The de Broglie wavelength of a neutron is 0.0500 nm.

What is the speed of this neutron?

What is the energy of this neutron?

Q15:

An X-ray photon has an energy of 125 keV, and a neutron has the same momentum as the photon.

Find the momentum of the photon.

Find the velocity of the neutron with the same momentum.

What is the neutronβs kinetic energy?

Q16:

A neutron has a wavelength of 5.60 fm.

What is the neutronβs velocity?

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