The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 68.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units.

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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, X, of a particle of mass m, and moving at velocity v, is given by the
de Broglie relation
h
where h = 6.626 × 10 J s is Planck's constant.
-34
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.
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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, X, of a particle of mass m, and moving at velocity v, is given by the de Broglie relation h where h = 6.626 × 10 J s is Planck's constant. -34 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. 11:43 PM 中 10/23/2020 PgUp F11 PgC End PrtScn F8 Home F9 F10 F7 DII F5 F6 F4 Esc F2 F3 F1 & #3 2$ ! 7 8. 4 5 1 2 Y U E R K (口 T 17 II
the
• 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 10% m/s.
Express your answer numerically as a percent.
their
> View Available Hint(s)
0.732 %
Submit
Previous Answers
V Correct
Part B
The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 68.0 m/s, what is its corresponding wavelength?
Express your answer with the appropriate units.
• View Available Hint(s)
HA
Value
Units
Submit
Provide Feedback
11:43 PM
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Transcribed Image Text:the • 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 10% m/s. Express your answer numerically as a percent. their > View Available Hint(s) 0.732 % Submit Previous Answers V Correct Part B The mass of a golf ball is 45.9 g. If it leaves the tee with a speed of 68.0 m/s, what is its corresponding wavelength? Express your answer with the appropriate units. • View Available Hint(s) HA Value Units Submit Provide Feedback 11:43 PM 10/23/2020 Home F9 End F10 PgUp F11 PgDn F12 PrtScn F8 F7
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