The angle θ i for which the beam will exit the enclosure through the same hole.

Question

A glass (n=1.50) tank is filled with a liquid that has an index of refraction of n=1.90. If a beam of light starts inside the liquid and is aimed at the tank walls, beyond what critical angle will the light experience only total internal reflection? a) 37.9 degrees b) 41.8 degrees c) 48.2 degrees d) 52.1 degrees

Answer 1

Question

Chapter 37, Problem 17PQ

To determine

The angle θi for which the beam will exit the enclosure through the same hole.

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A glass (n=1.50) tank is filled with a liquid that has an index of refraction of n=1.90. If a beam of light starts inside the liquid and is aimed at the tank walls, beyond what critical angle will the light experience only total internal reflection? a) 37.9 degrees b) 41.8 degrees c) 48.2 degrees d) 52.1 degrees

Using filters, a technician has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of ?1 = 23.4°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most500 nm light is bent the most 650 nm light is bent the mostall colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm ° (ii) ?500 nm ° (iii) ?650 nm

Using filters, a technician has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of ?1 = 45.8°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm ° (ii) ?500 nm ° (iii) ?650 nm °