A prism of refractive index \( n_{1} \) and another prism of refractive index \( n_{2} \) are st...
A prism of refractive index \( n_{1} \) and another prism of refractive index \( n_{2} \) are stuck together without a gap as shown in the figure. The angles of the prisms are as shown, \( n_{1} \) and \( n_{2} \) depend on \( \lambda \) the wavelength of light according to \( n_{1}=1.20 \) \( +\frac{10.8 \times 10^{4}}{\lambda^{2}} \) and \( n_{2}=1.45+\frac{1.80 \times 10^{4}}{\lambda^{2}} \) where \( \lambda \) is in \( \mathrm{nm} \). The wavelength for which rays incident at any angle on the interface \( B C \) pass through without bending at that interface will be:
(a) \( \lambda_{0}=600 \mathrm{~nm} \)
(b) \( \lambda_{0}=560 \mathrm{~nm} \)
(c) \( \lambda_{0}=650 \mathrm{~nm} \)
(d) \( \lambda_{0}=500 \mathrm{~nm} \)
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