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9. Quantum Mechanics

De Broglie Wavelength

9. Quantum Mechanics

De Broglie Wavelength

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De Broglie Wavelength

De Broglie Wavelength

De Broglie Wavelength Example 1

De Broglie Wavelength Example 1

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De Broglie Wavelength Problems In Chemistry

De Broglie Wavelength Problems In Chemistry

The Organic Chemistry Tutor

deBroglie Wavelength Calculation Example (velocity given wavelength)

deBroglie Wavelength Calculation Example (velocity given wavelength)

De-Broglie Wavelength of a Quantum Particle.

De-Broglie Wavelength of a Quantum Particle.

Universaldenker ⚛ Physics

Deriving The De Broglie Wavelength

Deriving The De Broglie Wavelength

The Brain Filler

Physics - Modern Physics (11 of 26) The de Broglie Wavelength

Physics - Modern Physics (11 of 26) The de Broglie Wavelength

Michel van Biezen

The de Broglie Wavelength

The de Broglie Wavelength

Ben's Chem Videos

The de Broglie Wavelength and Wave Particle Duality - A Level Physics

The de Broglie Wavelength and Wave Particle Duality - A Level Physics

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Practice this topic

Multiple Choice

What is the velocity (in m/s) of an electron that has a wavelength of 3.13 x 10⁵ pm? (Mass of an electron = 9.11 x 10^-31 kg).

Multiple Choice

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

Multiple Choice

Consider an atom traveling at 3.00 x 10⁶ m/s. The de Broglie wavelength is found to be 7.1316 x 10^-39 m. Which element is this?

Textbook Question

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 detect is approximately 20 Hz. (b) What would be the frequency of electromagnetic radiation with the same wavelength?

Textbook Question

Use the de Broglie relationship to determine the wavelengths of the following objects: (a) an 85-kg person skiing at 50 km/hr

Textbook Question

Use the de Broglie relationship to determine the wavelengths of the following objects: (d) an ozone 1O32 molecule in the upper atmosphere moving at 550 m/s.

Textbook Question

Among the elementary subatomic particles of physics is the muon, which decays within a few microseconds after formation. The muon has a rest mass 206.8 times that of an electron. Calculate the de Broglie wavelength associated with a muon traveling at 8.85 * 105 cm/s.

Textbook Question

The resolution limit of a microscope is roughly equal to the wavelength of light used in producing the image. Electron microscopes use an electron beam (in place of photons) to produce much higher resolution images, about 0.20 nm in modern instruments. Assuming that the resolution of an electron microscope is equal to the de Broglie wavelength of the electrons used, to what speed must the electrons be accelerated to obtain a resolution of 0.20 nm?

Textbook Question

Neutron diffraction is an important technique for determining the structures of molecules. Calculate the velocity of a neutron needed to achieve a wavelength of 125 pm. (Refer to the inside cover for the mass of the neutron.)

Textbook Question

The smallest atoms can themselves exhibit quantum-mechanical behavior. Calculate the de Broglie wavelength (in pm) of a hydrogen atom traveling at 475 m/s.

Textbook Question

A proton in a linear accelerator has a de Broglie wavelength of 122 pm. What is the speed of the proton?

Textbook Question

Calculate the de Broglie wavelength of a 143-g baseball traveling at 95 mph. Why is the wave nature of matter not important for a baseball?

Textbook Question

A 0.22-caliber handgun fires a 1.9-g bullet at a velocity of 765 m>s. Calculate the de Broglie wavelength of the bullet. Is the wave nature of matter significant for bullets?

Textbook Question

Protons and electrons can be given very high energies in particle accelerators. What is the wavelength in meters of an electron (mass = 9.11 * 10-31 kg) that has been accelerated to 5% of the speed of light? In what region of the electromagnetic spectrum is this wavelength?

Textbook Question

What is the de Broglie wavelength in meters of a baseball weighing 145 g and traveling at 156km/h? Why do we not observe this wavelength?

Textbook Question

At what speed in meters per second must a 145 g baseball be traveling to have a de Broglie wavelength of 0.500 nm?

Textbook Question

What velocity would an electron (mass = 9.11 * 10-31 kg) need for its de Broglie wavelength to be that of red light (750 nm)?

Textbook Question

The first 25 years of the twentieth century were momentous for the rapid pace of change in scientists' understanding of the nature of matter. (b) In what ways is de Broglie's hypothesis, as it applies to electrons, consistent with J. J. Thomson's conclusion that the electron has mass? In what sense is it consistent with proposals preceding Thomson's work that the cathode rays are a wave phenomenon?

Textbook Question

X rays with a wavelength of 1.54 * 10-10 m are produced when a copper metal target is bombarded with high-energy electrons that have been accelerated by a voltage difference of 30,000 V. The kinetic energy of the electrons equals the product of the voltage difference and the electronic charge in coulombs, where 1 volt-coulomb = 1 J. (a) What is the kinetic energy in joules and the de Broglie wavelength in meters of an electron that has been accel-erated by a voltage difference of 30,000 V?

Textbook Question

(b) Light with a wavelength of 2.50 * 10-7 m falls on a piece of chromium in an evacuated glass tube. What is the minimum de Broglie wavelength of the emitted elec-trons? (Note that the energy of the incident light must be conserved; that is, the photon's energy must equal the sum of the energy needed to eject the electron plus the kinetic energy of the electron.)

Textbook Question

(c) What is the velocity of an electron with a de Broglie wavelength equal to (b)?

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