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Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, A, of a particle of mass m, and moving at velocity v, is given by the de Broglie Part A relation The mass of an electron is 9.11 x 10 31 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 10 10 m, how fast is the electron moving relative to the speed of light? The speed of light is 3.00 x 10 m/s where h = 6.626 x 10 34 J.s is Planck's constant. Express your answer numerically as a percent. > View Available Hint(s) This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal. % Submit Part B The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 78.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units. > View Available Hint(s) HÀ ? Value Units Submit

Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, A, of a particle of mass m, and moving at velocity v, is given by the de Broglie Part A relation The mass of an electron is 9.11 x 10 31 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 10 10 m, how fast is the electron moving relative to the speed of light? The speed of light is 3.00 x 10 m/s where h = 6.626 x 10 34 J.s is Planck's constant. Express your answer numerically as a percent. > View Available Hint(s) This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal. % Submit Part B The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 78.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units. > View Available Hint(s) HÀ ? Value Units Submit

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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Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, A, of a particle of mass m, and moving at velocity v, is given by the de Broglie relation Part A The mass of an electron is 9.11 x 10 31 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 10 10 m, how fast is the electron moving relative to the speed of light? The speed of light is 3.00 x 10³ m/s. where h = 6.626 x 10 34 J.s is Planck's constant. Express your answer numerically as a percent. • View Available Hint(s) This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal. Hνα ΑΣφ ? Submit Part B The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 78.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units. • View Available Hint(s) ? = Value Units Submit
Transcribed Image Text:Just as light waves have particle behavior, a moving particle has a wave nature. The faster the particle is moving, the higher its kinetic energy and the shorter its wavelength. The wavelength, A, of a particle of mass m, and moving at velocity v, is given by the de Broglie relation Part A The mass of an electron is 9.11 x 10 31 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 10 10 m, how fast is the electron moving relative to the speed of light? The speed of light is 3.00 x 10³ m/s. where h = 6.626 x 10 34 J.s is Planck's constant. Express your answer numerically as a percent. • View Available Hint(s) This formula applies to all objects, regardless of size, but the de Broglie wavelength of macro objects is miniscule compared to their size, so we cannot observe their wave properties. In contrast, the wave properties of subatomic particles can be seen in such experiments as diffraction of electrons by a metal crystal. Hνα ΑΣφ ? Submit Part B The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 78.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units. • View Available Hint(s) ? = Value Units Submit
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