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. `sqrt(2)D`
D. `(D)/(sqrt(2)`

Answer

B, D

Explanation

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