In a double slit experiments, the two slits are 1 mm apart and the screen is placed in away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double sli within the central maxima of single sli pattern?

Options

A. `0.2` mm
B. `0.1` mm
C. `0.5` mm
D. `0.02` mm

Answer

A

Explanation

The angular distance of 10th maximum in two slit experiment,
`d sin theta_(10)= 10 lambda`
`:. Sin theta_(10)=(10 lambda)/(d)" "...(1)`
Now, angular width of central maximum by single slit
`:. Sin2theta_(1)-(2lambda)/(d.)" "...(2)`
but `sin theta_(10)=sin 2 thea_(1)`
`(10 lambda)/(d)=(2lambda)/(d.)`
`:.d=0.2 mm`