9. Quantum Mechanics

De Broglie Wavelength

9. Quantum Mechanics

# De Broglie Wavelength - Video Tutorials & Practice Problems

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De Broglie Wavelength

1

concept

## De Broglie Wavelength

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2

example

## De Broglie Wavelength Example 1

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3

Problem

ProblemWhat is the velocity (in m/s) of an electron that has a wavelength of 3.13 x 10^{5} pm? (Mass of an electron = 9.11 x 10^{-31} kg).

A

1543 m/s

B

3220 m/s

C

2320 m/s

D

3541 m/s

4

Problem

ProblemThe faster an electron is moving, the _________ its kinetic energy, and the __________ its wavelength.

A

higher, shorter

B

higher, longer

C

lower, longer

D

lower, shorter

5

Problem

ProblemConsider an atom traveling at 1% the speed of light. The de Broglie wavelength is found to be 7.1316 x 10^{-39} m. Which element is this?

A

H

B

Ca

C

Be

D

P

E

F

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PRACTICE PROBLEMS AND ACTIVITIES (18)

- The speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can d...
- Use the de Broglie relationship to determine the wavelengths of the following objects: (a) an 85-kg person ski...
- Use the de Broglie relationship to determine the wavelengths of the following objects: (d) an ozone 1O32 molec...
- Among the elementary subatomic particles of physics is the muon, which decays within a few microseconds after ...
- The resolution limit of a microscope is roughly equal to the wavelength of light used in producing the image. ...
- Neutron diffraction is an important technique for determining the structures of molecules. Calculate the velo...
- The smallest atoms can themselves exhibit quantum-mechanical behavior. Calculate the de Broglie wavelength (in...
- A proton in a linear accelerator has a de Broglie wavelength of 122 pm. What is the speed of the proton?
- Calculate the de Broglie wavelength of a 143-g baseball traveling at 95 mph. Why is the wave nature of matter ...
- A 0.22-caliber handgun fires a 1.9-g bullet at a velocity of 765 m>s. Calculate the de Broglie wavelength ...
- Protons and electrons can be given very high energies in particle accelerators. What is the wavelength in mete...
- What is the de Broglie wavelength in meters of a baseball weighing 145 g and traveling at 156km/h? Why do we n...
- At what speed in meters per second must a 145 g baseball be traveling to have a de Broglie wavelength of 0.500...
- What velocity would an electron (mass = 9.11 * 10-31 kg) need for its de Broglie wavelength to be that of red ...
- The first 25 years of the twentieth century were momentous for the rapid pace of change in scientists' unders...
- X rays with a wavelength of 1.54 * 10-10 m are produced when a copper metal target is bombarded with high-ener...
- (b) Light with a wavelength of 2.50 * 10-7 m falls on a piece of chromium in an evacuated glass tube. What is ...
- (c) What is the velocity of an electron with a de Broglie wavelength equal to (b)?