A person sets up Young's experiment using a sodium lamp and placing two slits `1 m` from a screen. The person is not sure of slit separation and he varies the separation and finds that the interference fringes disappear if the slits are too far apart. The angular resolution of his eye is `(1//60)^(@)`. How far apart are the slits when he just cannot see the interference pattern? `(lambda=5980 Å)`

Options

A. `5 mm`
B. `4.01 mm`
C. `2.025 mm`
D. `3.025 mm`

Answer

C

Explanation

`theta=lambda/d`
`(1/60)^(@)=1/60xxpi/180=(5980xx10^(-10))/d`
`d=2.056 mm`