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  1. Comparing this to the equation of a straight line: y = mx. y = w (m) x = D (m) Gradient = λ / s (unitless) Plot a graph of w against D and draw a line of best fit. The wavelength of the laser light is equal to the gradient multiplied by the slit separation. λ = gradient × s.

  2. Since we know the wavelength of light in the two media, we can deduce the effect with pictures. The key is to draw the plane waves as the location of the maximum field values. These crests will be straight lines, but spaced more closely together in the medium with higher index of refraction.

  3. Index of refraction \(n = \frac{c}{v}\), where \(v\) is the speed of light in the material, \(c\) is the speed of light in vacuum, and \(n\) is the index of refraction. Snell’s law, the law of refraction, is stated in equation form as \(n_{1} \sin_{\theta_{1}} = n_{2} \sin_{\theta_{2}}\).

  4. Geometrical Optics (ray optics), treated in the first half of the class. Emphasizes on finding the light path. Especially useful for studying the optical behavior of the system which has length scale much larger than the wavelength of light, such as:

  5. Experiments show that when light interacts with an object several times larger than its wavelength, it travels in straight lines and acts like a ray. Its wave characteristics are not pronounced in such situations.

  6. where λ λ is the wavelength in vacuum and n is the medium’s index of refraction. It follows that the wavelength of light is smaller in any medium than it is in vacuum. In water, for example, which has n = 1.333, the range of visible wavelengths is (380 nm)/1.333 to (760 nm)/1.333, or λ n = λ n = 285–570 nm. Although wavelengths change ...

  7. The wave nature of light is described by the equation c = λ·ν, which relates the speed of light (c, meters per second, m·s-1) to the wavelength (λ, lambda, meters, m) and the frequency (ν, nu, Hertz, Hz, s-1); because the speed of light is a constant in a given medium, wavelength and frequency are inversely proportional. 3.