JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index n of the prism satisfies.
- A \(\sqrt{2} < n < 2\sqrt{2}\)
- B \(1 < n < 2\)
- C \(n\ge 2\)
- D \(\sqrt{2} < n < 2\)
Answer & Solution
Correct Answer
(B) \(1 < n < 2\)
Step-by-step Solution
Detailed explanation
\(\delta_{\min }=2 i-A \Rightarrow i=\delta_{\min }=A \) \(\text { Also, } \mu=\frac{\sin \left(\frac{\delta_{\min }+A}{2}\right)}{\sin \left(\frac{A}{2}\right)} \) \(\Rightarrow \mu=\frac{\sin A}{\sin \frac{A}{2}}=2 \cos \left(\frac{A}{2}\right)\) Therefore, \(1 < n < 2\).
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