29_Chapter 24 HomeworkCH24 Wave Optics

29_Chapter 24 - Wave Optics 331(a If 1 = 45 2 = 90 and 3 = 0 then I f I i = cos 2 45 cos 2 90 45 cos 2 0 90 = 0(b If 1 = 0 2 = 45 and 3 = 90 then I

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Wave Optics 331 (a) If 12 3 45 , 90 , and 0 θ = ° , then () ( ) 22 2 cos 45 cos 90 45 cos 0 90 0 fi II =° ° °° ° = (b) If 3 0 , 45 , and 90 = ° , then ( ) 2 cos 0 cos 45 0 cos 90 45 0.25 ° ° ° ° = 24.63 In the figure at the right, observe that the path difference between the direct and the indirect paths is 2 2 2 xd h d d δ =−= + With a phase reversal (equivalent to a half-wavelength shift) occurring on the reflection at the ground, the condition for constructive interference is ( ) m λ =+ , and the condition for destructive interference is m = . In both cases, the possible values of the order number are m . 0, 1, 2, =… ± ² ±²³´µ¶ ·¶µ¶¸¹¶´ ³ ± º ³ ± º ² (a) The wavelengths that will interfere constructively are m = + . The longest of these is for the case and has a value of 0 m = 2 24 2 2 4 50.0 300 m 2 600 m 16.6 m d λδ == = 2
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This document was uploaded on 10/20/2011.

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