One of the two slits in YDSE is painted over, so that it transmits only light waves having intensity half of the intensity of the light waves through the order slit . As a result of this

Options

A. fringe system will disappear
B. Bright fringes will become brighter and dark fringes will be darker
C. both bright and dark fringes will become darker
D. dark fringes will become less dark and bright fringes will become less bright.

Answer

D

Explanation

For maxima `I_(max)=(sqrt(I_(1))+sqrt(I_(2)))^(2)`
when `I_(1)=I_(2)` then `I_(max)=4I`
For minima `I_(min)=(sqrt(I_(1))-sqrt(I_(2)))^(2)I_(min)=0`
`I_(2)=(I_(1))/(2)` then `I_(max)=(sqrt((I_(1))/(2))=sqrt(I_(1)))^(2)lt4I_(1)`
`I'_(min)=(sqrt((I_(1))/(2))-I_(1))^(2)gtI_(min)`