Calculate Wavelength Without Frequency

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SUMMARY

The discussion centers on calculating the wavelength of light when the frequency is not explicitly provided. The key formula used is λ = c/f, where c represents the speed of light. The refractive index is calculated using Snell's Law, resulting in n2 = 1.45. The frequency remains constant before and after light enters the medium with refractive index n2, allowing for the determination of wavelength using the established relationship between speed, frequency, and wavelength.

PREREQUISITES
  • Understanding of Snell's Law and refractive index
  • Familiarity with the speed of light (c = 3 x 10^8 m/s)
  • Basic knowledge of wavelength and frequency relationships
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation and applications of Snell's Law in optics
  • Explore the concept of refractive index in different materials
  • Learn about the electromagnetic spectrum and its relation to wavelength and frequency
  • Investigate advanced topics in wave optics, such as interference and diffraction
USEFUL FOR

Students and professionals in physics, optical engineering, and anyone interested in understanding wave behavior in different media.

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Homework Statement
A ray of light from the sun strikes the windshield of a car at an angle of incidence of 36.0° and refracts at an angle of 24.0°. If the initial light had a wavelength of 630 nm, determine the wavelength of the light after it has refracted.
Relevant Equations
n1sintheta1=n2sintheta2
n1sintheta1=n2sintheta2
1*sin36=n2sin24
n2=sin36/sin24
n2= 1.45
to calculate wavelength is lambda=c/f
My question is that that how do I find the wavelength without given the frequency.
 
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bbbbb said:
My question is that that how do I find the wavelength without given the frequency.

You already have the frequency. It's the same frequency both before and after the light enters n2.
 
so i will do f=c/wavelength
Then to find lamda2= c/f.
So I am not using the angles given.
 

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