How fast does the blue pulse travel?

In summary, a beam of red light with a wavelength of 700 nm, entering a block of glass with a refractive index of 1.52, will travel 10.00 miles and emerge 1.75 miles ahead of a blue pulse that entered at the same time. The red light will take approximately 0.042 µs to traverse the glass, and the blue pulse travels at a speed of 1.84 x 10^8 m/s. The time difference between the emergence of the red and blue is approximately 0.042 µs.
  • #1
burgerkin
35
0

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[tex]\lambda[/tex]
[tex]\lambda[/tex]1 /[tex]\lambda[/tex]2 =v1 /v2 =n2 / n1

The Attempt at a Solution



Here is what I tried

[tex]\lambda[/tex]=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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  • #2


Could anybody help me out? thanks! waiting online.
 

Related to How fast does the blue pulse travel?

1. How is the speed of the blue pulse determined?

The speed of the blue pulse is determined by dividing the distance it travels by the time it takes to travel that distance. This is known as the speed equation, which is speed = distance / time.

2. What factors affect the speed of the blue pulse?

The speed of the blue pulse can be affected by several factors, including the medium through which it travels (such as air or water), the temperature of that medium, and the properties of the pulse itself, such as its wavelength and frequency.

3. Can the speed of the blue pulse change?

Yes, the speed of the blue pulse can change depending on the medium it travels through. For example, the speed of light in air is faster than the speed of light in water. Additionally, the speed of the blue pulse can also change if it encounters a change in density or temperature in the medium it is traveling through.

4. Is the speed of the blue pulse constant?

No, the speed of the blue pulse is not always constant. In some materials, such as glass or water, the speed of the blue pulse can vary depending on the direction in which it is traveling. This is known as anisotropy.

5. How is the speed of the blue pulse related to its energy?

The speed of the blue pulse is not directly related to its energy. However, the energy of the pulse can affect its speed indirectly by determining its frequency and wavelength. Higher energy pulses typically have shorter wavelengths and higher frequencies, which can impact their speed through certain mediums.

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