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Chapter 35: Q. 22 (page 1017)

A hydrogen discharge lamp emits light with two prominent wavelengths: 656nm(red) and 486nm(blue). The light enters

a flint-glass prism perpendicular to one face and then refracts

through the hypotenuse back into the air. The angle between

these two faces is 35掳.

a. Use Figure 35.18to estimate to 卤0.002the index of refraction

of flint glass at these two wavelengths.

b. What is the angle (in degrees) between the red and blue light

as it leaves the prism?

Short Answer

Expert verified

(a) The index of refraction of flint glass at these two wavelengths arenR=1.572andnB=1.587

(b) The angle between the red and blue light as it leaves the prism 1.16掳.

Step by step solution

01

part (a) step 1: Given Information

We need to estimate the index of refraction of flint glass at the two wavelengths.

02

part (a) step 2: Simply

位=656nmnR=1.572位=486nmnB=1.587.
Here位is the wavelength andnis refractive index.

03

part (b) step 1: Given Information

We need to find angle between the red and blue light.

04

part (b) step 2: Calculation

n1sin蟽1=n2sin蟽2蟽2=sin-1n1sin蟽1n2

RED: BLUE:

n1=1.572n1=1.587n2=1.00n2=1.00蟽1=35掳蟽1=35掳蟽2=64.37掳蟽2=65.54掳

蟽=蟽B-蟽R=1.16掳.

Here nis the refractive index and蟽refraction angle.

05

part (b) step 3: Diagram

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Most popular questions from this chapter

A converging lens with a focal length of 40cmand a diverging lens with a focal length of -40cmare 160cmapart. A 2cmtall object is 60cmin front of the converging lens.

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