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

The refractive index of prism is \(\mu=\sqrt{3}\) and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______ \(^\circ\).

  1. A \(60\)
  2. B \(70\)
  3. C \(75\)
  4. D \(80\)
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Answer & Solution

Correct Answer

(A) \(60\)

Step-by-step Solution

Detailed explanation

\(\text { For } \delta_{\min }\) \(\mathrm{i}=\mathrm{e}\) \(\mathrm{r}_1=\mathrm{r}_2=\frac{\mathrm{A}}{2}\) \(\frac{\delta_{\min }}{\mathrm{A}}=1\) \(\frac{2 \mathrm{i}-\mathrm{A}}{\mathrm{A}}=1\) \(2 \mathrm{i}=2 \mathrm{~A}\) \(\mathrm{i}=\mathrm{A}\) Snell's law…
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