Concept explainers
To Rank: From greatest to least the particles according to Broglie’s wavelength.
Answer to Problem 57A
Explanation of Solution
Given data:
Speed of particle A (an electron) is,
Speed of particle B (an electron) is,
Speed of particle C (a photon) is,
Speed of particle D (a photon) is,
Formula used:
De Broglie’s wavelength can be obtained using:
Here, h is the Planck’s constant, m is the mass and v is the velocity.
Calculation:
Mass of electron is
Therefore, to get the De Broglie’s wavelength, use the De Broglie’s equation.
De Broglie’s wavelength for particle A (
De Broglie’s wavelength for particle B (
Mass of proton is,
Therefore, De Broglie’s wavelength for particle C (
De Broglie’s wavelength for particle D (
Conclusion:
From greatest to least, the provided particles are ranked according to the De Broglie’s wavelength as
Particle A (an electron) with speed,
Particle B (an electron) with speed,
Particle C (a photon) with speed,
Particle D (a photon) with speed,
Chapter 27 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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