A single slit of width $a$ is illuminated by a monochromatic light of wavelength $600 \mathrm{~nm}$. The value of ' $a$ ' for which first minimum appears at $\theta=30^{\circ}$ on the screen will be :
${3} \mu \mathrm{m}$
$0.6 \mu \mathrm{m}$
$1.8 \mu \mathrm{m}$
$1.2 \mu \mathrm{m}$
Solution
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