If the critical angle for a certain material is 30°, what is the refractive inde

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Question: If the critical angle for a certain material is 30°, what is the refractive index of that material?

Options:

Correct Answer: 1.73

Solution:

The refractive index n can be calculated using n = 1/sin(θc). For θc = 30°, n = 1/sin(30°) = 1/0.5 = 2.00.

If the critical angle for a certain material is 30°, what is the refractive index of that material?

If the critical angle for a certain material is 30°, what is the refractive index of that material?

Correct Answer: 2.00

Step 1: Understand that the critical angle (θc) is the angle of incidence above which total internal reflection occurs.
Step 2: Know the formula to find the refractive index (n) using the critical angle: n = 1/sin(θc).
Step 3: Identify the given critical angle, which is 30°.
Step 4: Calculate sin(30°). The value of sin(30°) is 0.5.
Step 5: Substitute the value of sin(30°) into the formula: n = 1/sin(30°) = 1/0.5.
Step 6: Perform the division: 1 divided by 0.5 equals 2.00.
Step 7: Conclude that the refractive index of the material is 2.00.

Critical Angle and Refractive Index – The critical angle is the angle of incidence above which total internal reflection occurs, and it is related to the refractive index of a material through the formula n = 1/sin(θc).