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7_Ch 24 College Physics ProblemCH24 Wave Optics

7_Ch 24 College Physics ProblemCH24 Wave Optics - Wave...

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Wave Optics 309 24.5 (a) From d sin m θ λ = , the angle for the 1 m = maximum for the sound waves is 1 1 1 354 m s 1 sin 36.2 0.300 m 2 000 Hz sound v m m d d = = sin θ λ = = sin f ° (b) For 3.00-cm microwaves, the required slit spacing is ( )( ) 1 3.00 cm 5.08 cm sin sin36.2 m d λ θ = = = ° (c) The wavelength is sin d m θ λ = ; and if this is light, the frequency is ( ) ( ) ( ) 8 14 -6 1 3.00 10 m s 5.08 10 Hz sin 1.00 10 m sin36.2 mc c f d λ θ × = = = = × × ° 24.6 The position of the first order bright fringe for wavelength λ is 1 L y d λ = Thus, ( ) ( ) ( ) 9 1 3 700 400 10 m 1.5 m 1.5 1 m 1.5 mm 0.30 10 m L y d λ
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