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

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

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

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

JEE PHYSICS MCQ: WAVE OPTICS

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In a diffraction pattern due to a single slit of width ‘a’, the first minimum is observed at an angle

{30^\mathrm{o}}

when light of wavelength 5000

\mathop \mathrm{A}\limits^\mathrm{o}

is incident on the slit. The first secondary maximum is observed at an angle of:

View answer and explanation

Correct option: D

{\sin ^{ - 1}}\,\left( {\frac{3}{4}} \right)

Option D (

{\sin ^{ - 1}}\,\left( {\frac{3}{4}} \right)

) is correct because it satisfies the condition for the first secondary maximum in a single-slit diffraction pattern.