Answer :
The short pulse of light will travel from one end of the glass to the other in 15/f time.
What is the relation between refractive index and wavelength?
The refractive index can be thought of as the parameter that reduces the speed and wavelength of radiation relative to their vacuum values: the speed of light in a medium is v = c/n, and the wavelength in that medium is = 0/n, where 0 is the wavelength of that light in vacuum.
The speed of light equals the wavelength times the frequency c = (L/10)× f
[tex]t=\frac{L}{\frac{L}{10}\times f}[/tex]
t=10/f
Index of refraction in the medium = 1.5
Lower the wavelength by a factor of 1.5(L/15), to get
[tex]t=\frac{L}{\frac{L}{15}\times f}\\t=\frac{15}{f}[/tex]
Therefore the short pulse of light will travel from one end of the glass to the other in [tex]\frac{15}{f}[/tex] time.
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The complete question is:
“A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness Land index of refraction n=1.5. The wavelength of the laser light in vacuum is L/10 and its frequency is f. In this problem, neither the constant c nor its numerical value should appear in any of your answers.
How long does it take for a short pulse of light to travel from one end of the glass to the other?
Express your answer in terms of the frequency, f. Use the numeric value given for n in the introduction.”
