What is the critical angle for a medium with a refractive index of 1.5? (2019)

What is the critical angle for a medium with a refractive index of 1.5? (2019)

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 1.5.
Step 4: Substitute the refractive index into the formula: sin(θc) = 1/1.5.
Step 5: Calculate 1/1.5, which equals approximately 0.6667.
Step 6: Use the inverse sine function to find θc: θc = sin^(-1)(0.6667).
Step 7: Calculate sin^(-1)(0.6667) to find the critical angle, which is approximately 41.81 degrees.
Step 8: Compare the calculated angle to the options given, noting that it is closest to 60 degrees.

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