CP Figure P35.56 shows an interferometer known as Fresnel’s biprism . The magnitude of the prism angle A is extremely small. (a) If S 0 is a very narrow source slit, show that the separation of the two virtual coherent sources S 1 and S 2 is given by d = 2 aA ( n − 1), where n is the index of refraction of the material of the prism. (b) Calculate the spacing of the fringes of green light with wavelength 500 nm on a screen 2.00 m from the biprism. Take a = 0.200 m, A = 3.50 mrad, and n = 1.50. Figure P35.56
CP Figure P35.56 shows an interferometer known as Fresnel’s biprism . The magnitude of the prism angle A is extremely small. (a) If S 0 is a very narrow source slit, show that the separation of the two virtual coherent sources S 1 and S 2 is given by d = 2 aA ( n − 1), where n is the index of refraction of the material of the prism. (b) Calculate the spacing of the fringes of green light with wavelength 500 nm on a screen 2.00 m from the biprism. Take a = 0.200 m, A = 3.50 mrad, and n = 1.50. Figure P35.56
CP Figure P35.56 shows an interferometer known as Fresnel’s biprism. The magnitude of the prism angle A is extremely small. (a) If S0 is a very narrow source slit, show that the separation of the two virtual coherent sources S1 and S2 is given by d = 2aA(n − 1), where n is the index of refraction of the material of the prism. (b) Calculate the spacing of the fringes of green light with wavelength 500 nm on a screen 2.00 m from the biprism. Take a = 0.200 m, A = 3.50 mrad, and n = 1.50.
A lens made of glass (ng =1.52) is coated with a thin film of MgF2 (ns = 1.38) of thickness t. Visible light is incident normally on the coated lens as in Figure P24.30. (a) For what minimum value of t will the reflected light of wavelength 5.40 x 102 nm (in air) be missing? (b) Are there other values of t that will minimize the reflected light at this wavelength? Explain.
The lens of a camera has a thin film coating designed to enhance the ability of the lens to absorb visible light near the middle of the spectrum, specifically light of wavelength 560 nm. If nair = 1.00, nfilmcoating = 1.40, and nlens = 1.55, what is the required minimum thickness of the film coating? Assume that the light is normally incident in the air medium.
a.
250 nm
b.
100 nm
c.
150 nm
d.
300 nm
e.
200 nm
Interference effects are produced at point P on a screen as a result of direct rays from a 5.00 x 102 - nm source and reflected rays off a mirror, as shown in Figure P24.67. If the source is L = 1.00 x 102 m to the left of the screen and h = 1.00 cm above the mirror, find the distance y (in millimeters) to the first dark band above the mirror.
Chapter 35 Solutions
University Physics, Volume 2 (Chs. 21-37) (14th Edition)
College Physics: A Strategic Approach (3rd Edition)
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