Question

What do the four angles in the above problem become if a 5000-line-per-centimeter diffraction grating is used?

A) 20 degrees, 40 degrees, 60 degrees, 80 degrees
B) 10 degrees, 20 degrees, 30 degrees, 40 degrees
C) 5 degrees, 10 degrees, 15 degrees, 20 degrees
D) 25 degrees, 50 degrees, 75 degrees, 100 degrees

Answer 1

When using a 5000-line-per-centimeter diffraction grating, the four angles become 20 degrees, 40 degrees, 60 degrees, and 80 degrees. So, the correct answer is A) 20 degrees, 40 degrees, 60 degrees, 80 degrees.

Step-by-step explanation:

Effect of Grating Spacing: The angles in a diffraction pattern are influenced by the spacing of the grating lines. As the grating becomes finer with more lines per unit length, the diffraction angles increase.

Increased Angles with Finer Grating: In the context of the problem, when transitioning from a 4000-line-per-centimeter grating to a finer 5000-line-per-centimeter grating, the diffraction angles become larger. This results in angles of 20 degrees, 40 degrees, 60 degrees, and 80 degrees.

Angular Relationship: The relationship between grating spacing and diffraction angles is a fundamental aspect of optics and diffraction phenomena. Finer gratings produce larger diffraction angles.

Therefore, the correct answer is A) 20 degrees, 40 degrees, 60 degrees, 80 degrees.