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Determine the angular separation between...

Determine the angular separation between central maximum and first order secondary maximum of the diffraction pattern due to a single slit of width `0.25 mm` when light of wavelength `5890 Å` falls on it normally.

Text Solution

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Here, `theta = ?`
`d = 0.25 mm = 0.25 xx 10^(-3)m`
`lambda = 5890 Å = 5890 xx 10^(-10)m`
As is clear from Fig.,

angular separation between central maximum and first order secondary maximum is
`theta = (3)/(2)(lambda)/(d) - 0 = (3 lambda)/(2 d) = (3 xx 5890 xx 10^(-10))/(2 xx 0.25 xx 10^(-3))`
`= 3.534 xx 10^(-3) radian`
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