In a Young's double-slit experiment, the slit separation is doubled. To maintain the same fringe spacing on the screen, the screen-to-slit distance D must be changed to,

Options

A. 2D
B. `(D)/(2)`
C. `sqrt2D`
D. `(D)/(sqrt2)`

Answer

a

Explanation

Young.s double slit experiment is `beta=(lambdaD)/(d),beta.=(lambdaD.)/(d.),d.=2d`
Same fringe space,`beta=beta.implies(lambdaD)/(d)=(lambdaD.)/(2d),D.=2D`