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. finge pattern disappears
B. bright fringes become brighten and dark ones become darker
C. dark and bright firnges get fainter
D. dark fringes get brighter and bright fringes get darker

Answer

d

Explanation

`I = I_(1) + I_(2) + 2 sqrt (I_(1) I_(2)) cos Delta phi`
Here, `I_(1) = I_(0)`
`I_(2) = I_(0) //2`
For maximum intensity , `cos Delta phit = 1`
For minimum intensity, `cos Delta phi = -1`
Before painting,
`I =I_(2) - I_(0), I_(max) = 4 I_(0), I_(min) = 0`
After painting,
` I_(1) = I_(0), I_(max) = ((3 + 2 sqrt2)/(2)) I_(0) lt 4I_(0)`
`I_(2) = (I_(0))/(2) , I_(min) = ((3 - 2 sqrt2)/(2)) I_(0) gt 0`