979_Physics ProblemsTechnical Physics

# 979_Physics ProblemsTechnical Physics - 320 The Nature of...

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320 The Nature of Light and the Laws of Geometric Optics Section 35.3 The Ray Approximation in Geometric Optics Section 35.4 Reflection Section 35.5 Refraction *P35.5 (a) Let AB be the originally horizontal ceiling, BC its originally vertical normal, AD the new ceiling and DE its normal. Then angle BAD = φ . By definition DE is perpendicular to AD and BC is perpendicular to AB . Then the angle between DE extended and BC is φ because angles are equal when their sides are perpendicular, right side to right side and left side to left side. A B C D E FIG. P35.5(a) (b) Now CBE = φ is the angle of incidence of the vertical light beam. Its angle of reflection is also φ . The angle between the vertical incident beam and the reflected beam is 2 φ . A D E FIG. P35.5(b) (c) tan . . 2 1 40 0 001 94 φ = = cm 720 cm φ = ° 0 055 7 . P35.6 (a) From geometry, 1 25 40 0 . sin . m = ° d so d = 1 94 . m . (b)
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