Starting from the expression for the Bohr radius of the hydrogen atom, derive an expression for nh 2πT Calculate the velocity the velocity of the electron using the de Broglie relation that mevr of an electron in the first energy level of the hydrogen atom. If we measure the position of the atom to within 20pm (ox=20pm), what is the uncertainty in the velocity? What do you learn by comparing these numbers? V= Ov= =

Chemistry: An Atoms First Approach
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Chapter2: Atomic Structure And Periodicity
Section: Chapter Questions
Problem 66E: Consider an electron for a hydrogen atom in an excited state. The maximum wavelength of...
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nh
2π
Starting from the expression for the Bohr radius of the hydrogen atom, derive an expression for
the velocity of the electron using the de Broglie relation that mevr . Calculate the velocity
of an electron in the first energy level of the hydrogen atom. If we measure the position of the
atom to within 20pm (0x=20pm), what is the uncertainty in the velocity? What do you learn by
comparing these numbers?
V=
Ov=.
Transcribed Image Text:nh 2π Starting from the expression for the Bohr radius of the hydrogen atom, derive an expression for the velocity of the electron using the de Broglie relation that mevr . Calculate the velocity of an electron in the first energy level of the hydrogen atom. If we measure the position of the atom to within 20pm (0x=20pm), what is the uncertainty in the velocity? What do you learn by comparing these numbers? V= Ov=.
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