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HW-11 CH-33 - Physics 117 HW— 11 Ch 33 and 34 Due on Nov...

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Unformatted text preview: Physics 117: HW— 11: Ch- 33 and 34', Due on Nov. 17, 18 before the class begins Problem 1: (a) An electromagnetic wave of intensity 200 W/m2 is incident normally on a rectangular black card with sides of 20 cm and 30 cm that absorbs all the radiation. Find the force exerted on the card by the radiation. (b) Find the force exerted by the same wave if the card reflects all the radiation incident on it. Problem 2. The electric field of an electromagnetic wave oscillates in the y direction and the Poynting vector is given by S(x, t) = (100W /m2)cos2 [10x — 3 x 109 t], where x is in meters and t is in seconds. (a) What is the direction of propagation of the wave? (b) Find the wavelength and the frequency. (c) Find the electric and magnetic fields. Problem 3. In a stack of polarizing sheets, each sheet has its polarization axis rotated 140 with respect to the preceding sheet. If the stack passes 17 % of the incidence, unpolarized light, how many sheets does it contain. Problem 4: The prism in the Figure has n=1.52, a = 60° and is surrounded by air. A light beam is incident at 491 = 37°. Find the angle (5 through which the beam is deflected. Problem 5. Two converging lenses, each having a focal length equal to 10 cm, are separated by 35 cm. An object is 20 cm to the left of the first lens. (a) Find the position of the final image using both ray diagram and the thin-lens equation. (b) Is the final image real or virtual? Is the final image upright or inverted? (c) What is the overall lateral magnification of the final image? Problem 6. My contact lens prescription calls for + 2.25 diopter lenses with an inner curvature radius of 8.6 mm to fit my cornea. (a) If the lenses are made from plastic with n = 1.56, what should be the outer curvature radius? (b) Wearing these lenses, I hold a news paper 30 cm from my eyes. Where is its image as viewed through the lenses? Problem 7. The Hubble Space Telescope is essentially a Cassegrain reflector, shown in the figure. The focal lengths of the concave primary and convex secondary mirrors are 5520.00 mm and -679.00 mm, respectively. The secondary is located at 4906.071 mm from the apex of the primary. Using appropriate equations determine where in Figure such rays are finally focused. Describe the final image. ...
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