Diffraction

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Question

In single slit diffraction a = 0.14 mm, D = 2 m and distance of second dark band from central maxima is 1.6 cm. The wavelength of light is

Moderate

Solution

$For\,dark\,\,band\,\,a\frac{Y}{D} = n\lambda \Rightarrow \lambda = \frac{{aY}}{{Dn}}\$
$= \frac{{0.14 \times {{10}^{ - 3}} \times 1.6 \times {{10}^{ - 2}}}}{{2 \times 2}} = 5600{A^0}\$

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