JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
A thin prism \(P_1\) with an angle \(6^{\circ}\) and made of glass of refractive index \(1.54\) is combined with another prism \(P _2\) made from glass of refractive index \(1.72\) to produce dispersion without average deviation. The angle of prism \(P_2\) is \(........{}^{\circ}\)
- A \(6\)
- B \(1.3\)
- C \(7.8\)
- D \(4.5\)
Answer & Solution
Correct Answer
(D) \(4.5\)
Step-by-step Solution
Detailed explanation
\(\delta_1=\delta_2 \text { [for no average deviation] }\) \(\Rightarrow 6^{\circ}(1.54-1)= A (1.72-1)\) \(\Rightarrow A =\frac{6^{\circ} \times 0.54}{0.72}\) \(=\frac{18^{\circ}}{4}=4.5^{\circ}\)
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