1.) Three polarizing plates whose planes are parallel are centered on a common a
ID: 1294024 • Letter: 1
Question
1.) Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 13.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 19.0
1.) Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 13.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 19.0°, ?2 = 43.0°, and ?3 = 65.0°. Hint: Make repeated use of Malus's law. If = ______________ units 2.) White light is spread out into its spectral components by a diffraction grating. If the grating has 2 100 grooves per centimeter, at what angle does red light of wavelength 640 nm appear in first order? (Assume that the light is incident normally on the gratings.) ______________ °Explanation / Answer
Number 1)
Apply I = Iocos2(angle) for each angle...
I = 13(cos219)(cos2(43 - 19))(cos2(65 - 43))
I = 8.34 units
Number 2)
Apply tan(angle) = m(wavelength)/d
tan(angle) = 1(640 X 10-9)(210000)
angle = 7.65o (or 7.72o if your book uses small angle approximations)
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