plz answer this question :- In a double slit diffraction arrangement , what should be the width of each slit to obtain 10 maxima of double slit pattern within the central maximum of the single slit pattern ? [ two slits are made 1mm apart ]

the slit width-wavelength relation is given as

aθ = λ

where

a is the slit width

θ is the angular separation and

λ is the wavelength

so,

θ = λ/a

now, in this case we have

width of each slit = width of ten maxima

so,

10(λ/d) = 2(λ/a)

or

a = d/5

thus, the slit width will be

**a = 1/5 = 0.2 mm**

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