With some manipulation, the Rydberg equation can be rewritten in the form (뉴 2) -#) 1 E = constant x which allows you to calculate the energy of the emitted light. Express this constant in terms of the constants h, c, and RH using relationships between wavelength and energy as well as the Rydberg equation from the introduction. Express the constant in terms of h, c, and RH.

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Chapter7: Quantum Theory Of The Atom
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Problem 7.122QP: When an electron is accelerated by a voltage difference, the kinetic energy acquired by the electron...
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With some manipulation, the Rydberg equation can be rewritten in the form
1
1
E = constant x
which allows you to calculate the energy of the emitted light. Express this constant in terms of the
constants h, c, and RH using relationships between wavelength and energy as well as the Rydberg
equation from the introduction.
Express the constant in terms of h, c, and RH.
Transcribed Image Text:With some manipulation, the Rydberg equation can be rewritten in the form 1 1 E = constant x which allows you to calculate the energy of the emitted light. Express this constant in terms of the constants h, c, and RH using relationships between wavelength and energy as well as the Rydberg equation from the introduction. Express the constant in terms of h, c, and RH.
The Rydberg equation expresses the wavelength,
1, of emitted light based on the initial and final
energy states (ni and nf ) of an electron in a
hydrogen atom:
= Ry x (-)
%3D
N; 2
where
RH
1.097 x 107 m¬ = 1.097 × 10-2 nm-1.
%3D
You may also see this equation written as
= - Ru x (-)
ni
2
nf
Since
(푸-주)- - (무-수)
|
2
nf
ni
2
ni
nf
the two formulas are equivalent and sometimes
used interchangeably. It can help to remember that
when light is emitted, E is negative. When light is
absorbed, E is positive.
Transcribed Image Text:The Rydberg equation expresses the wavelength, 1, of emitted light based on the initial and final energy states (ni and nf ) of an electron in a hydrogen atom: = Ry x (-) %3D N; 2 where RH 1.097 x 107 m¬ = 1.097 × 10-2 nm-1. %3D You may also see this equation written as = - Ru x (-) ni 2 nf Since (푸-주)- - (무-수) | 2 nf ni 2 ni nf the two formulas are equivalent and sometimes used interchangeably. It can help to remember that when light is emitted, E is negative. When light is absorbed, E is positive.
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