How fast does the blue pulse travel?

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SUMMARY

The discussion focuses on the speed of light in a glass medium, specifically comparing red light and a blue pulse. Red light, with a wavelength of 700 nm, travels through a block of glass with a refractive index of 1.52, emerging 1.75 miles ahead of the blue pulse. The calculated speed of red light in the glass is approximately 1.84 x 108 m/s. The time taken for red light to traverse the 10-mile thick glass block is also a key point of inquiry.

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  • Understanding of light propagation and refractive indices
  • Familiarity with the wave equation v=fλ
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  • Basic skills in unit conversion (miles to meters)
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  • Calculate the time taken for red light to traverse 10 miles in glass
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Homework Statement



A beam of red light entering a block of glass (n = 1.52) 10.00 miles thick will emerge 1.75 miles ahead of a blue pulse that entered at the same moment.
(a) How long will it take the red light to traverse the glass?
µs
(b) How fast does the blue pulse travel?
m/s
(c) How much time will elapse between the emergence of the red and then the blue?

Homework Equations



v=f\lambda
\lambda1 /\lambda2 =v1 /v2 =n2 / n1

The Attempt at a Solution



Here is what I tried

\lambda=700 nm for red light

700 / x = 1.52 /1
x=461 nm (x is the wavelength when red light passes thru the glass)

then

460nm x 4 x 10^14 =1.84 x 10^8 m/sI am not sure if it is correct, and what really is the distance the red light traveled? 10-1.75 miles??thanks n advance
 
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