(III) A light ray is incident on a flat piece of glass with index of refraction n as in Fig. 23-

Name: (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 θ is small, the emerging ray is displaced a distance d=t θ(n-1) / n from the incident ray, where t is the thickness of the glass and θ is in radians. [Hint: for small θ, sinθ≈tanθ≈θ in radians. ]
Uploaded: 2022-05-23T12:06:05-08:00
Duration: 4 min 38 s
Channel: Khoobchandra Agrawal
Description: (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 θ is small, the emerging ray is displaced a distance d=t θ(n-1) / n from the incident ray, where t is the thickness of the glass and θ is in radians. [Hint: for small θ, sinθ≈tanθ≈θ in radians. ]

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Khoobchandra Agrawal · Accepted Answer

Step 1: From the hint provided, for small angles, we can approximate $sin theta approx tan theta

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