26_Chapter 24 HomeworkCH24 Wave Optics

26_Chapter 24 HomeworkCH24 Wave Optics - 328 CHAPTER 24...

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328 CHAPTER 24 24.55 (a) If light has wavelength λ in vacuum, its wavelength in a medium of refractive index n is n n = . Thus, the wavelengths of the two components in the specimen are 1 1 546.1 nm 413.7 nm 1.320 n n == = and 2 2 546 nm 409.7 nm 3 n n .1 1.33 = (b) The number of cycles of vibration each component completes while passing through the specimen are 1 -6 1 -9 1.000 10 m 2.417 413.7 n t N × = × and 2 -6 2 -9 1.000 409.7 n t N × × 21 0.024 cycles NN −= ( 2.441 = Thus, when they emerge, the two components are out of phase by . Since each cycle represents a phase angle of 360°, they emerge with a phase difference of ) ( ) = 0. φ 024 cycles 360 cycle 8.6 ∆° = ° 24.56 Bright lines occur at angles given by ( ) sin md θ = . Thus, if the bright line of wavelength 4 m = 1 and the bright line of wavelength
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