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img083 - PHY2054 Spring 2008 m In an attempt to hide the...

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Unformatted text preview: PHY2054 Spring 2008 m. In an attempt to hide the ring, an opaque square wooden rafi with sides L is made to float directly above the ring with the ring just below the center of the raft. What is the minimum value of L for which the ring would not be visible for any observer above the water? % 12. (1)2131: .17 4.4-!) A small gold ring is placed at the bottom of a swimming pool at a depth of 2.3 (1) 5.2 (2) 4.6 (3) 2.6 (4) 1.7 (5) None of these If the angle firm the ring to the sides of the craft is greater than the critical angle, then light rays will be totally internally reflected and the ring will not be visible fiom the water outside the rafi. The minimum value ofL is L“,in = 2dtan0c, where d = 2.3 and ac = sin“ (l./l .333) = 43.6° is the critical angle of water. This yields Lmin = 5.2 m. 13. (Prob. 32. m) A flashlight on the bottom of a 3.70 m deep swimming pool sends a ray upward and at an angle so that the ray strikes the surface of the water 1.45 m from the point directly above the flashlight What angle (in air) does the emerging ray make with the waters surface? 603° 585° (3) 31.5“ (4) 74.l° (5) None of these The angle the ray makes with the normal in water is given by 02 = tan'l (1.45/ 3.7) = 21.4° . The angle in air is obtained by Snell ’3 law, or sin"l (1.333sin 21.4°) = 29.1° , or 60.9 °to the surface. ...
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