Concept explainers
Consider the following energy levels of a hypothetical atom
(a) What is the wavelength of the photon needed to excite an electron from
Interpretation:
The wavelength of photon needed to excite an electron from state
Concept introduction:
The relationship between wavelength and frequency of an electromagnetic radiation is as follows:
Here,
The energy of a photon can be expressed as follows:
Here, E is the energy of photon,
The energy difference when an electron drops from
Here,
Conversion of meter (
Answer to Problem 34QP
Solution:
(a)
(b)
(c)
Explanation of Solution
Given information:
a) The wavelength of the photon needed to excite an electron from
The energy difference between states
The wavelength of photon needed to excite an electron from
Hence, the wavelength is
b) The energy (in joules) a photon must have to excite an electron from
The energy (in joules) required to excite an electron from
Therefore, the required energy is
c) The wavelength of a photon emitted when an electron drops from
The wavelength of a photon emitted when an electron drops from
Thus, the energy difference is
The wavelength of a photon emitted when an electron drops from state
Hence, the wavelength is
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