It was found that the refractive index of material of a certain prism varied as `1.5 + 0.004//lambda^(2)`, where `lambda` is the wavelength of light used to measure the refractive index. The same material was then used to construct a thin prism of apex angle `10^(@)`. Angles of minimum deviation `(delta m)` of the prism were recorded for the sources with wavelengths `lambda_(1)` and `lambda_(2)` respectively. Then

Options

A. `delta_(m)(lambda_(1))ltdelta_(m)(lambda_(2))" if "lambda_(1)ltlambda_(2)`.
B. `delta_(m)(lambda_(1))gtdelta_(m)(lambda_(2))" if "lambda_(1)gtlambda_(2)`.
C. `delta_(m)(lambda_(1))gtdelta_(m)(lambda_(2))" if "lambda_(1)ltlambda_(2)`.
D. `deltam` is the same in both the cases.

Answer

C