JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
A thin prism with angle \( 5^{\circ} \) of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of second prism is ___________.
- A \( 4.5^{\circ} \)
- B \( 6^{\circ} \)
- C \( 4^{\circ} \)
- D \( 5^{\circ} \)
Answer & Solution
Correct Answer
(C) \( 4^{\circ} \)
Step-by-step Solution
Detailed explanation
\( \delta_{net}=0 \) \( \delta_{1}+\delta_{2}=0 \) \( (\mu_{1}-1)A_{1}+(\mu_{2}-1)A_{2}=0 \) \( A_{2}=\frac{(\mu_{1}-1)A_{1}}{(\mu_{2}-1)} \) \( A_{2}=\frac{(1.72-1)}{(1.9-1)}\times5^{\circ}=4^{\circ} \)
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