Concept explainers
Blue-green light has a frequency of about
a. Using the relationship
b. How much larger is this wavelength than the diameter of an atom, which is about
(a)
To show the wavelength of blue-green light is 5×10-7.
Answer to Problem 58A
The wavelength of given light is 5×10-7. Hence proved.
Explanation of Solution
Given data:
Frequency (f ) = 6×1014Hz.
Formula used:
Calculation:
From the given equation, we determine the formula for wave length (λ) is,
And, we know the speed of light c =3×108m/s.
Substituting the values in the equation (λ ).
= 5×10-7 m.
Hence, it shows that the wavelength of the given light is 5×10-7 m.
Conclusion:
The wavelength of blue-green light is 5×10-7.
(b)
To calculate and compare the wavelength of light with the diameter of the atom 10-10.
Answer to Problem 58A
The size of the wavelength is 5000 times larger than the atom.
Explanation of Solution
Given data:
Diameter of atom(d ) = 10-10 m
length of wave(λ ) = 5×10-7 m
Formula used:
The difference of length of atom and the diameter of an atom.
Calculation:
The difference of length of the wave and the diameter of the atom shows the hoe much larger or smaller the wavelength of the wave with respect to the diameter of an atom.
Difference = length of wave (λ )-diameter of an atom (d )
= 5×10-7 m -10-10 m
= 5000 times.
Therefore, the wavelength is 5000 times larger than the diameter of an atom.
Conclusion:
The wavelength of blue-green light is 5000 times larger than the diameter of an atom.
Chapter 27 Solutions
Conceptual Physics: The High School Physics Program
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