1.A narrow beam of white light is incident on a sheet of quartz. The beam disper

Question

1.A narrow beam of white light is incident on a sheet of quartz. The beam disperses in the quartz, with red light (700nm) traveling at an angle of 26.3 with respect to the normal and violet light (400nm) traveling at 25.7. The index of refraction of quartz for red light is 1.45.

What is the index of refraction of quartz for violet light?

2.A.How long (in ns) does it take light to travel 1.20 m in vacuum?

B.What distance does light travel in water during the time that it travels 1.20 m in vacuum?

Explanation / Answer

given data

angle of  refraction for red light theta r=26.3

angle of  refraction for violet light theta v=25.7

index of refraction of quartz for red light mu r= 1.45

using snells law

for red light

mu a *sin theta i=mu r*sin theta r

1*sin theta i=1.45*sin 26.3

theta i=39.97

for violet light

mu a *sin theta i=mu v*sin theta r

1*sin 39.97=mu v*sin 25.7

mu v=1.48

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