Question

In a single-slit diffraction experiment, the slit is illuminated by light of two wavelengths \(\lambda_1\) and \(\lambda_2\). It is observed that the 2nd order diffraction minimum for \(\lambda_1\) coincides with the 3rd diffraction minimum for \(\lambda_2\). Then:

• A. \(\frac{\lambda_1}{\lambda_2} = \frac{2}{3}\)
• B. \(\frac{\lambda_1}{\lambda_2} = \frac{5}{7}\)
• C. \(\frac{\lambda_1}{\lambda_2} = \frac{3}{2}\)
• D. \(\frac{\lambda_1}{\lambda_2} = \frac{7}{5}\)

Hint:

In diffraction problems, use the diffraction condition equation and compare the angles for different orders to relate the wavelengths involved.