In the Young's double slit experiment the distance between the slits varies in time as `d(t)=d_(0)+a_(0) sin omegat,` where `d_(0), omega` and `a_(0)` are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as :

Options

A. `(2lamdaD(d_(0)))/((d_(0)^(2)-a_(0)^(2)))`
B. `(2lamdaDa_(0))/((d_(0)^(2)-a_(0)^(2)))`
C. `(lamdaD)/(d_(0)^(2))a_(0)`
D. `(lamdaD)/(d_(0)+a_(0))`