Example 13: A lens of focal length 100 cm forms Fraunhofer diffraction pattern of a single slit of width 0.04 cm in its focal plane. The incident light contains two wavelengths λ1 and λ2. It is found that the fourth minimum corresponding to λ1 and the fifth minimum corresponding to λ2 occur at the same point 0.5 cm from the central maximum. Compute λ1 and λ2.
[M.T.U., B.Tech I Sem. 2012]