Concept explainers
A particular form of
Interpretation:
The wavelength of the photon, the region of the electromagnetic spectrum, and the energy (in joules) for one quantum of this radiation is to be determined.
Concept introduction:
The range of wavelengths of electromagnetic radiations and their respective frequencies all fall under electromagnetic spectrum. The range of wavelengths (in nm) and the types of radiation are as follows:
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,
Conversion of meter (
Conversion of
Answer to Problem 20QP
Solution:
(a)
(b)
Ultraviolet region
(c)
Explanation of Solution
Given information:
a) Wavelength of electromagnetic radiation in nanometer
The wavelength (in nm) of radiation can be evaluated as follows:
Substitute
Therefore, the wavelength of the radiation is
The wavelength (in nm) of the radiation can be converted into meters as follows:
Therefore, the wavelength (in m) of the radiation is
b) The region of the electromagnetic spectrum
The wavelength range of ultraviolet region is from
c) The energy (in joules) of one quantum of electromagnetic radiation
The energy of a quantum of radiation is evaluated as shown below:
Substitute
Hence, the energy of a quantum of radiation is
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