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JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments

Light ray incident along a vector \(\vec{AO}\) \((\vec{AO} = 2\hat{i}-3\hat{j})\) emerges out along vector \(\vec{OB}\) \((\vec{OB} = C\hat{i}-4\hat{j})\) as shown in the figure below. The value of \(C\) is ________.

  1. A \(1.6\)
  2. B \(0.16\)
  3. C \(11.6\)
  4. D \(16\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.6\)

Step-by-step Solution

Detailed explanation

From the given figure, the interface is horizontal and the normal is along the y-axis. The incident ray is along the vector \(\vec{AO} = 2\hat{i} - 3\hat{j}\). The angle of incidence \(\alpha\) is the angle between the incident ray and the normal.…
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