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Chapter 20: Q17P (page 526)

Light passes from benzene (medium1)to water (medium 2) in Figure 20at (a)θ1=30°or (b)θ1=0°. Find the angleθ2in each case.

Short Answer

Expert verified

a) Forθ1=30°θ2=34.33,

b) For θ1=0°θ2=0°,.

Step by step solution

01

Concept used.

The Snell's law is:

n1‐sinθ1=n2‐sinθ2.

02

Find the angle θ2 in θ1=30°

a)

Consider the angleθ1=30° that is made by light when it passes from benzene to water.

The angleθ2is:

1.50·sin30°=1.33·sinθ2sinθ2=1.50·sin30°1.33sinθ2=0.56391θ2=34.33°

03

Find the angle θ2 is θ1=0°

b)

An angleθ1=0° is made by light when it passes from benzene to water.

The angle θ2is:

1.50·sin0°=1.33·sinθ2sinθ2=1.50·sin30°1.33sinθ2=0θ2=0°

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Most popular questions from this chapter

The photograph of upconversion in Color Plate 21shows total internal reflection of the blue ray inside the cuvet. The angle of incidence of the blue ray on the wall of the cuvet is~55°. We estimate that the refractive index of the organic solvent is 1.50and the refractive index of the fused-silicacuvet is 1.46. Calculate the critical angle for total internal reflection at the solvent/ silica interface and at the silica/air interface. From your calculation, which interface is responsible for total internal reflection in the photo?

Show that a grating with 103 grooves/cm provides a dispersion of 5.88 per mm of wavelength if n 5 1 and f 5 108 in Equation 20-4.

(a) The true absorbance of a sample is 1.500, but 0.50%stray light reaches the detector. Find the apparent transmittance and apparent absorbance of the sample. (b) How much stray light can be tolerated if the absorbance error is not to exceedat a true absorbance of? (c) A research-quality spectrophotometer has a stray light level of <0.00005%,at. What will be the maximum absorbance error for a sample with a true absorbance of 2? Of 3?

Explain how beam chopping reduces line noise and noise from source drift.

The variation of refractive index, n, with wavelength for fused silica is given by

n2‐1=(0.6961663)λ2λ2‐(0.0684043)2+(0.4079426)λ2λ2‐(0.1162414)2+(0.8974794)λ2λ2‐(9.896161)2

where λ is expressed in μm.

(a) Make a graph of n versus λ with points at the following wavelengths: 0.2,0.4,0.6,0.8,1,2,3,4,5, and 6μm.

(b) The ability of a prism to spread apart (disperse) neighboring wavelengths increases as the slope dn/dλincreases. Is the dispersion of fused silica greater for blue light or red light?
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