In Young's double-slit experiment the angular width of a fringe formed on a distant screen is `1^(@)`. The wavelength of light used is `6000 Å`. What is the spacing between the slits?

Options

A. `0.034 mm`
B. `0.01 mm`
C. `1 mm`
D. `0.05 mm`

Answer

A

Explanation

` theta =1^(@), lambda=6000A^(@), d= ?`
`theta=( lambda)/(d)`
`:.d=( lambda)/(theta)=(6xx10^(-7))/((1)/(57))`
`=57xx6xx10^(-7)`
`342xx10^(-7)m`