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A beam of light of wavelength 600 nm fro...

A beam of light of wavelength 600 nm from a distant source
falls on a single slit 1.0 mm wide and the resulting diffraction pattern is
observed on a screen 2m away. What is the distance between the first dark
fringe on either side of the central bright fringe?

Text Solution

Verified by Experts

For the diffraction at a single slit, the position of minima is given by
` d sin theta = nlambda `
For small value of theta,
`sin theta~~theta=y/D`
`:. dy/d=lambda or y=D/d lambda`
Substituting the values ,we have
`y=(2xx6xx10^(-7))/(1xx10^(-3))`
`=1.2xx10^(-3)m`
`=1.2 mm`.
`:.` Distance between first minima on either side of central side of central maxima=`2y=2.4mm.`
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