question_answer

In a Young's double slit experiment with slit separation 0.1 mm, one observes a bright fringe at angle \[\frac{1}{40}\,\,rad\] by using light of wavelength \[{{\lambda }_{1}}.\] When the light of wavelength \[{{\lambda }_{2}}\]is used a bright fringe is seen at the same angle in the same set up. Given that \[{{\lambda }_{1}}\] and\[{{\lambda }_{2}}\] are in visible range (380 nm to 740 nm), their values are:

A) 625 nm, 500 nm

B) 380 nm, 525 nm

C) 380 nm, 500 nm

D) 400 nm, 500 nm