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Physics 52 Sample Midterm 1 KEY_2

# Physics 52 Sample Midterm 1 KEY_2 - Physics 52 Sample...

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Physics 52 Sample Midterm Exam #1 (25 points) by Todd Sauke KEY Question #1 (5 points). The doublet of the sodium spectrum, in the yellow band, has two constituents having vacuum wavelengths of 589.0 nm and 589.6 nm, respectively. Light of this doublet is propagated at normal incidence through a crystal slab. The index of refraction of the crystal at these wavelengths is 1.873. What is the speed of light from this doublet in the crystal? v = c / n = 3.00e8 / 1.873 = 1.604e8 _____ 1.60 x 10 8 ____ m/s 1 point What is the wavelength of the 589.0 nm light when in the crystal? λ = λ 0 / n = 589.0 / 1.873 = 314.47 _______ 314.5 ______ nm 1 point What is the frequency of oscillation of the Electric field for the 589.0 nm light when it is in air? f 0 = c / λ 0 = 3.00e8 / 589e-9 = 5.09e14 _____ 5.09 x 10 14 ______ Hz 1 point What is the frequency of oscillation of the Electric field for the 589.0 nm light when it is in the crystal? f = f 0 = 5.09e14 _____ 5.09 x 10 14 _______ Hz 1 point What is the number of waves of the 589.0 nm light that are present in a crystal 1.7 mm thick? N = t / λ = t * n / λ 0 = 1.7e-3 * 1.873 / 589e-9 = 1.7e-3 / 314.5e-9= 5405 ________ 5405 _________ 1 point ______________________________________________ Question #2. (2 points) As you walk away from a plane mirror on a wall, your image A) gets smaller. B) is always a real image, no matter how far you are from the mirror. C) may or may not get smaller, depending on where the observer is positioned. __ (D ) is always the same size. E) changes from being a virtual image to a real image as you pass the focal point.

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