Chapter 20: Q17P (page 526)
Light passes from benzene (medium1)to water (medium 2) in Figure 20at (a)or (b). Find the anglein each case.
Short Answer
a) For,
b) For ,.
Chapter 20: Q17P (page 526)
Light passes from benzene (medium1)to water (medium 2) in Figure 20at (a)or (b). Find the anglein each case.
a) For,
b) For ,.
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Get started for freeThe true absorbance of a sample is 1.000, but the mono chromator passes 1.0% stray light. Add the light coming through the sample to the stray light to find the apparent transmittance of the sample. Convert this answer back into absorbance and find the relative error in the calculated concentration of the sample.
20-D. The table shows signal-to-noise ratios recorded in a nuclear magnetic resonance experiment. Construct graphs of
(a) signal-to-noise ratio versus n and
(b) signal-to-noise ratio versus , where n is the number of scans. Draw error bars corresponding to the standard deviation at each point. Is the signal-to-noise ratio proportional to ? Find the 95% confidence interval for each row of the table.
Explain how beam chopping reduces line noise and noise from source drift.
(a) A particular silica glass waveguide is reported to have a loss coefficient of(power out/power in, defined in Problem 20-22) for 514-nm-wavelength light. The thickness of the waveguide is and the length is 3.0 cm. The angle of incidencein the figure ) is . What fraction of the incident radiant intensity is transmitted through the waveguide?
(b) If the index of refraction of the waveguide material is 1.5, what is the wavelength of light inside the waveguide? What is the frequency?
A measurement with a signal-to-noise ratio of 100 / 1 can be thought of as a signal, S, with 1 % uncertainty, e. That is, the measurement is.
(a) Use the rules for propagation of uncertainty to show that, if you add two such signals, the result is total signal , giving a signal-to-noise ratio of .
(b) Show that if you add four such measurements, the signal-tonoise ratio increases to 200 / 1.
(c) Show that averaging n measurements increases the signal-to-noise ratio by a factor of compared with the value for one measurement.
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