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A ray of light incident at an angle \(\theta\) in a rectangular prism grazes the...

Physics
WAEC 2017

A ray of light incident at an angle \(\theta\) in a rectangular prism grazes the surface of the prism on emerging from the prism. Determine the value of the angle. [Absolute refractive index of the material of the prism is 1.5] 

  • A. 41.8°
  • B. 48.2°
  • C. 60.8°
  • D. 90.0°
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Correct Answer: Option A
Explanation

\(\eta = \frac{1}{sin\theta}\)

\(1.5 = \frac{1}{sin\theta}\)

\(sin\theta = \frac{1}{1.5} = 0.667\)

\(\theta = sin^{-1}(0.667) = 41.835°\)

\(\approxeq 41.8°\)


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