A plano-convex lens has index of refraction n . The curved side of the lens has radius of curvature R and rests on a flat glass surface of the same index of refraction, with a film of index n flim between them, as shown in Figure P36.42. The lens is illuminated from above by light of wavelength λ . Show that the dark Newton’s rings have radii given approximately by r = m λ R n film where r << R and m is an integer. Figure P36.42
A plano-convex lens has index of refraction n . The curved side of the lens has radius of curvature R and rests on a flat glass surface of the same index of refraction, with a film of index n flim between them, as shown in Figure P36.42. The lens is illuminated from above by light of wavelength λ . Show that the dark Newton’s rings have radii given approximately by r = m λ R n film where r << R and m is an integer. Figure P36.42
Solution Summary: The author explains that the dark Newton's rings have radii given approximately by rsimeq
A plano-convex lens has index of refraction n. The curved side of the lens has radius of curvature R and rests on a flat glass surface of the same index of refraction, with a film of index nflim between them, as shown in Figure P36.42. The lens is illuminated from above by light of wavelength λ. Show that the dark Newton’s rings have radii given approximately by
A plano-convex lens having a radius of curvature of r = 4.00 m is placed on a concave glass surface whose radius of curvature is R = 12.0 m as shown in Figure P36.46. Assuming 500-nm light is incident normal to the flat surface of the lens, determine the radius of the 100th bright ring.
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.
A plano-concave lens having index of refraction 1.50 is placed on a flat glass plate as shown in Figure P36.39. Its curved surface, with radius of curvature 8.00 m, is on the bottom. The lens is illuminated from above with yellow sodium light of wavelength 589 nm, and a series of concentric bright and dark rings is observed by reflection. The interference pattern has a dark spot at the center that is surrounded by 50 dark rings, the largest of which is at the outer edge of the lens. (a) What is the thickness of the air layer at the center of the interference pattern? (b) Calculate the radius of the outermost dark ring. (c) Find the focal lengthof the lens.
Chapter 37 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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