In a diffraction pattern due to a single slit of width $a$, the first minimum is observed at an angle 30o when light of wavelength 5000 $\mathop A\limits^ \circ $ is incident on the slit. The first secondary maximum is observed at an angle of

Question

In a diffraction pattern due to a single slit of width $a$, the first minimum is observed at an angle 30^o when light of wavelength 5000 $\mathop A\limits^ \circ $ is incident on the slit. The first secondary maximum is observed at an angle of

sin^$-$1$\left( {{1 \over 2}} \right)$

${\sin ^{ - 1}}\left( {{3 \over 4}} \right)$

${\sin ^{ - 1}}\left( {{1 \over 4}} \right)$

${\sin ^{ - 1}}\left( {{2 \over 3}} \right)$

Solution

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