If in Young's experiment the distance between the two slits is doubled and the distance of the screen and slite is halved the fringewidth

Options

A. is doubled
B. becomes 4 times
C. remains the same
D. becomes one fourth

Answer

D

Explanation

`d_(2)=2d_(1) D_(2)=(D_(1))/(2), beta _(2)= ?`
`beta prop =(D)/(d)`
`beta =(D_(2))/(D_(1))xx(d_(1))/(d_(2))`
`beta_(2)=(D_(1))/(2xxD_(1))xx(d_(1))/(2d_(1))xx beta_(1)=(beta_(1))/(4)`