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A prism of refractive index \( n_{1} \& \) another prism of refractive index \( \mathrm{n}_{2} \) are stuck together without a gap as shown in the figure. The angles of the prisms are as shown. \( \mathrm{n}_{1} \& \mathrm{n}_{2} \) depend on \( \lambda \), the wavelength of light according to \( \mathrm{n}_{1}=1.20+\frac{10.8 \times 10^{4}}{\lambda^{2}} \& \mathrm{n}_{2}=1.45+\frac{1.80 \times 10^{4}}{\lambda^{2}} \) \( - \) where \( \lambda \) is in \( \mathrm{nm} \).
\( \mathrm{P} \)
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- Calculate the wavelength \( \lambda_{0} \) for which rays incident at any angle on the interface \( \mathrm{BC} \) pass through without bending at that interface.
- For light of wavelength \( \lambda_{0} \), find the angle of incidence \( i \) on the face AC such that the deviation produced by the combination of prisms is minimum .
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