A light ray is incident on a flat piece of glass with

Chapter 32, Problem 35P

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(III) A light ray is incident on a flat piece of glass with index of refraction n as in Fig. 23–22. Show that if the incident angle \(\theta\) is small, the emerging ray is displaced a distance \(d=t \theta(n-1)/n\) from the incident ray, where t is the thickness of the glass and \(\theta\) is in radians. [Hint: for small \(\theta\), \(\sin \theta \approx \tan \theta \approx \theta\) in radians.]

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