Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by d θ d λ = m d cos θ (b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by d θ d λ = m d cos θ (b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
Solution Summary: The author calculates the angles of bright beams difted from the grafting.
Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by
d
θ
d
λ
=
m
d
cos
θ
(b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
10 mW of light is incident on a piece of GaAs
which is 0.2mm thick. The incident light is a
mixture of 5mW at A1=1.553µm and 5mW at
12=0.828um. A total of 7mW mixed light exits
out of the GaAs. Assume no reflections at the
air/GaAs interface and any light generated by
recombination won't exit the GaAs. What are
the absorption coefficients, a, for two
different wavelengths?
X rays of wavelength 0.0850 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle θ in Fig is 21.5°. What is the spacing between adjacent atomic planes in the crystal?
You are given a small bar of an unknown metal. You find the density of the metal to be 18.6 g/cm3. An x-yar diffraction experiment measures the edge of the face-centered cubic unit cell as 4.13 x 10-10m. Find the atomic weight (in g/mol) of this metal and assess its identity.
Chapter 38 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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