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

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

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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