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A slit of width d is placed in front of ...

A slit of width d is placed in front of a l ens of focal length 0.5m and is illuminated normally with light of wavelength `5.89xx10^(-7)m`. The first diffraction minima on either side of the central diffraction maximum are separated by `2xx10^(-3)m` . The width d of the slit is `"_________"`m.

Text Solution

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Given that width of central maxima `=2xx10^(-3)m`
`:. (2lambdaD)/(d)=2xx10^(-3)`
`rArr d=(2xx5.89xx10^(-7)xx0.5)/(2xx10^(-3))=2.945xx10^(-4)m`
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