328CHAPTER 24 24.55(a) If light has wavelength λin vacuum, its wavelength in a medium of refractive index nis nn=. Thus, the wavelengths of the two components in the specimen are 11546.1 nm413.7 nm1.320nn===and 22546nm409.7 nm3nn.11.33=(b) The number of cycles of vibration each component completes while passing through the specimen are 1-61-91.00010 m2.417413.7ntN×=×and 2-62-91.000409.7ntN××210.024 cyclesNN−=(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.φ024 cycles360cycle8.6∆°=°24.56Bright lines occur at angles given by ( )sinmdθ=. Thus, if the bright line of wavelength 4m=1and the bright line of wavelength
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