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

(a) ${\mathrm{sin}}^{-1}\left(\frac{2}{3}\right)$           (b) ${\mathrm{sin}}^{-1}\left(\frac{1}{2}\right)$

(c) ${\mathrm{sin}}^{-1}\left(\frac{3}{4}\right)$           (d) ${\mathrm{sin}}^{-1}\left(\frac{1}{4}\right)$

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