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Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is h λ = my in which h is Planck's constant ( 6.63 x 10-34 J-s), m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength= b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m

Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is h λ = my in which h is Planck's constant ( 6.63 x 10-34 J-s), m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength= b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is λ = h my in which h is Planck's constant ( 6.63 x 10-34 J-s), rences] m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength = b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m
Transcribed Image Text:Current theories of atomic structure suggest that all matter and all energy demonstrate both particle-like and wave-like properties under the appropriate conditions, although the wave-like nature of matter becomes apparent only in very small and very fast moving particles. The relationship between the wavelengths (A) observed for a particle and the mass and velocity of that particle is called the de Broglie relationship. It is λ = h my in which h is Planck's constant ( 6.63 x 10-34 J-s), rences] m represents the mass of the particle in kilograms, and v represents the velocity of the particle in meters per second. a. Calculate the de Broglie wavelength for an electron moving at 0.91 times the speed of light. Wavelength = b. Calculate the de Broglie wavelength for a 140. g ball moving at a speed of 10 m/s. Wavelength = c. Calculate the de Broglie wavelength for a 66 kg person walking at a speed of 6.0 km/h. Wavelength = m m m
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Here, we have to calculate the de Broglie wavelength for:

a. an electron moving at 0.91 times the speed of light

b. a 140 g ball moving at a speed of 10 m/s

c. a 66 kg person walking at a speed of 6.0 km/h.

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