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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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