Green light of wavelength `5,100 overset @A` from a narrow silt is incident on a double slit.If the overall separation of 10 fringes on a screen 200 cm away is 2 cm,find slit separation.

Explanation

`lambda = 5100 A = 5100 xx 10^(-10) m = 51 xx 10^(-8) m`
`10 beta = 2 cm`
`beta = 2/10 cm = 0.2 xx 10^(-2)`m
`D= 200 cm = 2 m`
d= ?
`beta = (lambdaD)/d`
`d = (lambdaD)/beta = (51 xx 10^(-8) xx 2)/(0.2 xx 10^(-2))`
`= 0.51 xx 10^(-7) m`
`= 51 xx 10^(-9) m`
d = 51 m