In the Young's double slit experiment with sodium light, the slits are `0.589m` apart. The angular separation of the third maximum from the central maximum will be (given `lambda=589mm`)

Options

A. (a) `sin^-1(0.33xx10^8)`
B. (b) `sin^-1(0.33xx10^-6)`
C. (c) `sin^-1(3xx10^-8)`
D. (d) `sin^-1(3xx10^-6)`

Answer

D

Explanation

Using relation, `dsintheta=nlambdaimpliessin theta=(nlambda)/(d)`
For `n=3`, `sin theta=(3lambda)/(d)=(3xx589xx10^-9)/(0.589)`
`=3xx10^-6` or `theta=sin^-1(3xx10^-6)`