If one of the two slits of Young's double-slit experiment is painted so that it transmits half the light intensity as the second slit, then

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)`