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The variation of refractive index, n, with wavelength for fused silica is given by

n21=(0.6961663)22(0.0684043)2+(0.4079426)22(0.1162414)2+(0.8974794)22(9.896161)2

where is expressed in 渭尘.

(a) Make a graph of n versus with points at the following wavelengths: 0.2,0.4,0.6,0.8,1,2,3,4,5, and 6渭尘.

(b) The ability of a prism to spread apart (disperse) neighboring wavelengths increases as the slope dn/诲位increases. Is the dispersion of fused silica greater for blue light or red light?

Short Answer

Expert verified

(a) The wavelengths of 0.2,0.4,0.6,0.8,1,2,3,4,5, and 6渭尘 is


(b) The dispersion of fused silica is greater for blue light ( 400 nm ) than red light ( 600 nm ).

Step by step solution

01

Definition of wavelenght

  • The wavelength of a waveform signal conveyed in space or down a wire is the distance between identical points (adjacent crests) in adjacent cycles.
02

Determine the following wavelengths: 0.2,0.4,0.6,0.8,1,2,3,4,5, and 6μm.

A graph depicting the relationship between n and It must be marked.

The graph was created using the formula provided.

Wavelength=0n

0is the wavelength in vacuum

n is the refraction inden

(a)

For blue light or red light, the dispersion of fused silica is larger.

03

Determine the dispersion of fused silica greater for blue light or red light

(b)

For blue light or red light, the dispersion of fused silica is larger.


dn诲位a wavelength of blue light~400nm then the red light comes on ~600nm.

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