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Q. 67

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

A 600 line/mm diffraction grating is in an empty aquarium tank. The index of refraction of the glass walls is . A helium-neon laser 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 ?

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

(b) The first-order diffraction angle of the laser beam after the aquarium is filled with water is

See the step by step solution

Step by Step Solution

Step 1: 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 lines per mm means that now the interval will be

Step 2: Find the diffraction angle (part a)

The angle is measured by

Then our perspective will be

Step 3: Find the diffraction angle (part b)

If we have freshwater, instead of , we will have , which will give us

Then our perspective will be substitute in

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