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Yellow light (lamda=6000Å) illuminates a single-slit of width 1xx10^(-4)m. calculate (i) the distance between two dark lines on either side of the central maximum when the diffraction pattern is viewed on a screen kept 1.5 m away from the slit, (ii) the angular spread of the first diffraction minima. |
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Answer» SOLUTION :Here `lamda=6000Å=6000xx10^(-10)m`, slit width `a=1xx10^(-4)`m, distance of screen from the slit D=1.5m (i) `THEREFORE` Distance between two dark lines on opposite sides of the CENTRAL MAXIMA in diffraction pattern. `x=(2lamda)/(a)D=(2xx6000xx10^(-10)xx1.5)/(1xx10^(-4))=1.8xx10^(-2)m=1.8m` (II) The angular spread of the first diffraction minima `theta_(1)=(lamda)/(a)=(6000xx10^(-10))/(1xx10^(-4))=6xx10^(-3)rad` |
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