Question

Calculate the energy of the emitted photon as well as the wavelength and frequency of electromagnetic radiation emitted from the hydrogen atom when the electron undergoes the transition from n = 5 to n = 1. In what region of the spectrum does this line occur?

Answer #1

RH = redberg's constant = 1.0973 x 10^7 m-1

1 / = R_{H}
[1 / n1^2 - 1 / n2^2]

= 1.0973 x 10^7 [1 / 1 - 1 /5^2]

= 1.053 x 10^7 m-1

E = h C /

= 6.625 x 10^-34 x 3 x 10^8 x 1.053 x 10^7

= 2.09 x 10^-18 J

**energy of the emitted photon = 2.09 x 10^-18
J**

**wavelength = 9.50 x 10^-8
m = 95 nm**

**frequency = C / = 3 x 10^8 /
9.50 x 10^-8 = 3.16 x 10^15 Hz**

Calculate the shortest wavelength of the electromagnetic
radiation emitted by the hydrogen atom in undergoing a transition
from the n = 6 level

Q1)
Calculate the energy of an electron in the n =
2 level of a hydrogen atom.
Energy = _______Joules
Q2)
What would be the wavelength of radiation emitted from a
hydrogen atom when an electron moves from the n =
2 to n = 1energy level?
In what region of the spectrum does this radiation lie?
Wavelength = ________nm
Region = _________(ultraviolet or visible or infrared)

Calculate the wavelength of the photon emitted when the hydrogen
atom undergoes a transition from n=8 to n=4.
(R=1.096776x10^7m-1)
Please explain hwo you got the answer

a. what is the energy of the emitted photon if an electron in
the hydrogen atom makes a transition from the n=7 state to the n=2
state?
b. Now, Imagine there is a photon with the same wavelength. What
is the speed of this photon?

Light is emitted from a hydrogen atom as an electron in the atom
jump from the n=9 orbit to the n=3 orbit.
What is the energy of the emitted photon in eV?
(b) What are the frequency and wavelength of the photon?
(c) In which frequency range (UV, visible, IR) is the emitted
electromagnetic radiation? Justify your answer.

7) Calculate the energy of the photon emitted when a hydrogen
atom undergoes a spin-flip transition. How many such photons would
it take to equal the energy of a single photon of wavelength 656.3
nm emitted by hydrogen (level 3 – level 2 transition)?
8) Suppose you discovered a star made purely of hydrogen and
helium. How old do you think it would be? Explain your
reasoning.

4. [15] Light is emitted from a hydrogen atom as an electron in
the atom jump from the n=9 orbit
to the n=3 orbit.
(a) [7] What is the energy of the emitted photon in eV?
(b) [4] What are the frequency and wavelength of the photon?
(c) [4] In which frequency range (UV, visible, IR) is the
emitted electromagnetic radiation?
Justify your answer.

For a hydrogen atom, calculate the wavelength of an emitted
photon in the Lyman series that results from the transition n = 3
to n = 1. The Rydberg constant is 2.18 x 10^-18 J.

3. What is the wavelength (in nm) and frequency of light that is
emitted when an electron in a hydrogen atom drops from the n = 5 to
the n = 3 energy level

Determine the frequency (Hz) and wavelength (nm) of light
emitted when an electron in a Hydrogen atom makes a transition from
an orbital in n=6 to an orbital in n=5

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