Question

In a single slit diffraction experiment, slit of width 'a' and incident light of wavelength \( 5600\,\text{\AA} \), the first minimum is observed at angle \( 30^\circ \). The first secondary maximum is observed at angle \( (\sin 30^\circ = 0.5) \)

• A. \( \sin^{-1} \left( \frac{1}{\sqrt{2}} \right) \)
• B. \( \sin^{-1} \left( \frac{1}{2} \right) \)
• C. \( \sin^{-1} \left( \frac{\sqrt{3}}{2} \right) \)
• D. \( \sin^{-1} \left( \frac{3}{4} \right) \)

Hint:

- First minimum gives slit width - Secondary maxima $\approx (m+\tfrac{1}{2})\lambda$

Answer 1

The Correct Option is D