A light wave has wavelength
a. Write an equation for the frequency of this light.
b. Convert the following wavelengths to frequencies in Hz: 400 nm, 500 nm, 600 nm, and 700 nm.
c. What happens to the
(a)
The equation for the frequency of light.
Explanation of Solution
Introduction:
The wavelength of the light is
In a unit time, the number of waves which are passing through the fixed point is known as the frequency of the light wave.
The frequency of the wave is related to the wavelength and velocity of the light such as
Where
Conclusion:
The equation for the frequency of lightis:
(b)
To Convert:The given wavelengths into frequency.
Explanation of Solution
Given:
The given wavelengths are 400nm, 500nm, 600nm, and 700nm.
Formula Used:
The frequency can be calculated using the formula:
Here, c is the speed of light and
Calculations:
Case 1:
For the wavelength: 400 nm
Case 2:
For the wavelength: 500nm
Case 3: For the wavelength: 600nm
Case 4: For the wavelength: 700nm
(c)
The effect on the frequency of the light when the wavelength is increased.
Explanation of Solution
Introduction:
The frequency of light:
Here, c is the speed of light and
The frequency of the light is inversely dependent on its wavelength. If the wavelength is increased then the frequency is decreased.
Conclusion:
The frequency is decreased.
Chapter 27 Solutions
Conceptual Physics: The High School Physics Program
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