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Chapter 33: Q.28 (page 956)

Your artist friend is designing an exhibit inspired by circular-aperture diffraction. A pinhole in a red zone is going to be illuminated with a red laser beam of wavelength 670nm, while a pinhole in a violet zone is going to be illuminated with a violet laser beam of wavelength 410nm. She wants all the diffraction patterns seen on a distant screen to have the same size. For this to work, what must be the ratio of the red pinhole鈥檚 diameter to that of the violet pinhole?

Short Answer

Expert verified

Ratio of red pinhole diameter to violet pinhole ,DredDviolet=1.63

Step by step solution

01

Laser Beam

A laser beam is a single-wavelength stream of concentrated, coherent light.

02

Find ratio

In order for the diffraction patterns from the two pinholes to have the same size, the angle of the first minimum in the two patterns must be the same, where this angle is given by the following relation

胃1=1.22位D

When you multiply 胃1by the number of pinholes, you get

1.22位redDred=1.22位violetDviolet

rearranging the equations,

DredDviolet=位red位violet=670nm410nm=1.63

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Most popular questions from this chapter

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