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2012 WAEC Physics Theory A ray of light is incident on an air-glass boundary at an angle \(\theta\). If...

Physics
WAEC 2012

A ray of light is incident on an air-glass boundary at an angle \(\theta\). If the angle between the partially reflected ray and the refracted ray is 90°, calculate \(\theta\), given that the refractive index of glass is 1.50.

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Explanation

n = \(\frac{sin i}{sin r}\)

1.5 = \(\frac{sin \theta}{sin(190 - \theta)} = \frac{sin \theta}{cos theta} = \tan \theta\)

Hence, 0 = tan\(^{-1}\) 1.5 = 56.31\(^o\)

 


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