Light with a frequency of 5.50×1014 Hz travels in a block of glass that has an...
a)What is the wavelength of the light in vacuum?
b)What is the wavelength of the light in the glass?
Homework Answers
The concepts used to solve this problem are frequency and wavelength of the light in vacuum and in glass.
Use the relation between frequency and the speed of the light in vacuum to calculate the wavelength of the light in vacuum.
Then use the relation between speed of the light in vacuum and refractive of glass to calculate the velocity of the light.
Finally use the relation between the velocity of the light and frequency to calculate the wavelength of the light in glass.
Light travels as waves with the wave fronts perpendicular to the direction of motion.
Expression for the wavelength of the light in vacuum is,
Here, 
is the wavelength of the light in vacuum, c is the speed of the light in vacuum, and f is the frequency.
Expression for the velocity of the light is,
Here, v is the velocity of the light and n is the refractive index.
Expression for the wavelength of the light in glass is,
Here, 
is the wavelength of the light in vacuum.
(a)
Expression for the wavelength of the light in vacuum is,
Substitute 
for c and 
for f.
(b)
Expression for the velocity of the light is,
Substitute for c and 
for n.
Expression for the wavelength of the light in glass is,
Substitute 
for v and for f.
The wavelength of the light in vacuum is 
.
The wavelength of the light in glass is 
.
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