What is the critical angle for total internal reflection in a medium with a refr

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What’s inside this PDF?

Question: What is the critical angle for total internal reflection in a medium with a refractive index of 1.5?

Options:

30 degrees
45 degrees
60 degrees
90 degrees

Correct Answer: 60 degrees

Solution:

The critical angle (θc) can be calculated using sin(θc) = 1/n. For n = 1.5, sin(θc) = 1/1.5 = 2/3. Therefore, θc = sin^(-1)(2/3) which is approximately 41.81 degrees, closest to 45 degrees.

What is the critical angle for total internal reflection in a medium with a refr

Practice Questions

What is the critical angle for total internal reflection in a medium with a refractive index of 1.5?

30 degrees
45 degrees
60 degrees
90 degrees

Questions & Step-by-Step Solutions

What is the critical angle for total internal reflection in a medium with a refractive index of 1.5?

Step 1: Understand that the critical angle is the angle of incidence above which total internal reflection occurs.
Step 2: Know that the formula to find the critical angle (θc) is sin(θc) = 1/n, where n is the refractive index of the medium.
Step 3: Identify the refractive index given in the question, which is n = 1.5.
Step 4: Substitute the value of n into the formula: sin(θc) = 1/1.5.
Step 5: Calculate 1/1.5, which equals 2/3.
Step 6: Now, we have sin(θc) = 2/3.
Step 7: To find θc, use the inverse sine function: θc = sin^(-1)(2/3).
Step 8: Use a calculator to find sin^(-1)(2/3), which is approximately 41.81 degrees.
Step 9: Note that this value is closest to 45 degrees.

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What is the critical angle for total internal reflection in a medium with a refr

What’s inside this PDF?

What is the critical angle for total internal reflection in a medium with a refr

Practice Questions

Questions & Step-by-Step Solutions

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