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Chapter 35: Qn 42 (page 1018)

A beam of white light enters a transparent material. Wavelengths for which the index of refraction is n are refracted at angle 胃2.

Wavelengths for which the index of refraction is n + 未n, where 未n<<n, are refracted at angle 胃2+未胃.

a). Show that the angular separation of the two wavelengths, in radians, is 未胃=-(未n/n)tan胃2.

b). A beam of white light is incident on a piece of glass at 30.0掳. Deep violet light is refracted 0.28掳 more than deep red light. The index of refraction for deep red light is known to be 1.552. What is the index of refraction for deep violet light?

Short Answer

Expert verified

未胃=-(未n/n)tan胃2

未n=-(n/tan胃2)未胃

Step by step solution

01

Given values δn=-0.28οnred=1.552θ1=30ο

a). From Snell's law, we have

sin 胃1= n sin 胃2and sin 胃1

=(n+未n) sin (胃2+未胃)

02

b) we use formula,            δθ=-(δn/n)tanθ2

From previous formula ,we have to find value for未n

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Most popular questions from this chapter

Modern microscopes are more likely to use a camera than human viewing. This is accomplished by replacing the eyepiece in Figure 35.14 with a photo-ocular that focuses the image of the objective to a real image on the sensor of a digital camera. A typical sensor is 22.5 mm wide and consists of 5625 4.0@mm@ wide pixels. Suppose a microscopist pairs a 40* objective with a 2.5* photo-ocular.

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