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Unformatted text preview: 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. ‘ : 260(0/144 *
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Poynting vector is given by S(x,t)= (100W /m2)cos[10x 3 x10°,t] where x is in meters and t is in seconds. (a) What 1s the direction of propagation of the wave? (b) Find the wavelength and
the ﬁequency. (c) Find the electric and magnetic ﬁelds. > 9%er Y ﬂaw/59m (“ﬁgtwg‘79
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7/1 : /+/H[ZX/?;?)ﬂﬂ//w27ﬂ Problem 4: The prism in the,Figure has n=1.52, a = 60° and is
surrounded by air. A light beam is incident at 6’, = 37°. Find the
angle 6 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 leﬁ of the ﬁrst lens. (a) Find the position of the ﬁnal image
using both my diagram and the thinlens 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? )9 : +2225 714"
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(51% MM Man/say «LEM M M 4.5km 8614149, lift/2% 6/ 47¢ mitt Fifé/ mmﬁ‘ijfﬂka 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. imidoto/ M £9?“ ﬁergg A/L/ZLZ
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 Spring '08
 TIESINGA

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