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If the refractive index of a medium is 2.0, what is the critical angle for total
If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection?
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Practice Questions
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Q1
If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection?
30°
45°
60°
90°
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Using the formula θc = sin^(-1)(1/n), where n = 2.0, we find θc = sin^(-1)(1/2) = 30°.
Questions & Step-by-step Solutions
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Q
Q: If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection?
Solution:
Using the formula θc = sin^(-1)(1/n), where n = 2.0, we find θc = sin^(-1)(1/2) = 30°.
Steps: 6
Show Steps
Step 1: Understand that the refractive index (n) of a medium is given as 2.0.
Step 2: Recall the formula to find the critical angle (θc) for total internal reflection: θc = sin^(-1)(1/n).
Step 3: Substitute the value of n into the formula: θc = sin^(-1)(1/2.0).
Step 4: Calculate 1/2.0, which equals 0.5.
Step 5: Now, find the inverse sine (sin^(-1)) of 0.5. This gives you the critical angle.
Step 6: The inverse sine of 0.5 is 30 degrees.
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