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In double slit experiment using light of...

In double slit experiment using light of wavelength `600 nm`, the angular width of a fringe formed on a distant screen is `0.1^(@)`. What is the spacing between the two slits ?

Text Solution

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Here, wavelength, `lambda =600 nm = 6 xx 10^(-7) m`,
Angular fringe width, `theta = 0.1^@ = (0.1^@)/(180^@) xx pi rad`
Separation between the slits, d = ?
Since, `theta = lambda/d`
`:. d = lambda/theta`
`= (6 xx 10^(-7) xx 180^@)/(0.1^@ xx pi)`
`= 3.43 xx 10^(-4) m`.
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