Question

In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d₀ + a₀ sinωt ; where d₀, ω and a₀ are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as :

(1) \(\frac{2\lambda D(d_0)}{(d^2_0-a^2_0)}\)

(2) \(\frac{2\lambda Da_0}{(d^2_0-a^2_0)}\)

(3) \(\frac{\lambda D}{d^2_0}a_0\)

(4) \(\frac{\lambda D}{d_0+a_0}\)

Answer 1

Correct answer is 2.