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Chapter 33: Q. 67 (page 958)

A 600 line/mm diffraction grating is in an empty aquarium tank. The index of refraction of the glass walls is nglass=1.50. A helium-neon laser (位=633nm)is outside the aquarium. The laser beam passes through the glass wall and illuminates the diffraction grating.

a. What is the first-order diffraction angle of the laser beam?

b. What is the first-order diffraction angle of the laser beam after the aquarium is filled with water nwater=1.33?

Short Answer

Expert verified

(a) The first order diffraction angle of the laser beam is 22.3鈭�

(b) The first-order diffraction angle of the laser beam after the aquarium is filled with water is16.6鈭�

Step by step solution

01

Explanation

We must presume that the beam is horizontal to the tank walls.

The walls of the aqua, on the other hand, have no impact on the angle.

Let's also assume that 600lines per mm means that now the interval will be d=1000/600=1.6炉渭m

02

Find the diffraction angle (part a)

The angle is measured by

dsin鈦�胃1=1X位鈬�胃=sin鈭�1鈦�(位/d)

Then our perspective will be

胃=sin鈭�1鈦�6.33X10鈭�7m1.6炉X10鈭�6m

=22.3鈭�

03

Find the diffraction angle (part b)

If we have freshwater, instead of 位, we will have 位/n, which will give us

位w=位/n=6.33X10鈭�7m1.33=4.76X10鈭�7m_

Then our perspective will be substitute in

胃=sin鈭�1鈦�4.76X10鈭�7m1.6炉X10鈭�6m=16.6鈭�

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Most popular questions from this chapter

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