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Red light is incident in air on a 30 o - 60 o - 90 o prism as shown. The inciden

ID: 2252256 • Letter: R

Question

Red light is incident in air on a 30o - 60o - 90 o prism as shown. The incident beam is directed at an angle of ?1 = 40.9o with respect to the horizontal and enters the prism at a height h = 29 cm above the base. The beam leaves the prism to the air at a distance d = 77.9 along the base as shown.

Red light is incident in air on a 30o - 60o - 90 o prism as shown. The incident beam is directed at an angle of ?1 = 40.9o with respect to the horizontal and enters the prism at a height h = 29 cm above the base. The beam leaves the prism to the air at a distance d = 77.9 along the base as shown. What is ?1,max, the maximum value of ?1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? Suppose now that the violet beam is incident at height h, but makes an angle ?1,v = 60o with the horizontal. What is ?3,v, the angle the transmitted beam makes with the horizontal axis? Phi 2= 46.3 degrees Phi 3= 16.9 degrees n= 1.39158

Explanation / Answer

1) Work out the critical angle in the glass. Then use this and geometry to work out the angle of refraction at point B. Then use Snell's law to work out the angle of incidence at point B. Then you can find ??-max

2) Can't do this without knowing the refractive index for violet light. If you have this information, you have to work-rthe calculations using the same methods as above.

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