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Consider the situation shown in figure (17-E6). The two slits \( S_{1} \) and \( S_{2} \) placed symmetrically around the central line are illuminated by a monochromatic light of wavelength \( \lambda \). The separation between the slits is \( d \). The light transmitted by the slits falls on a screen \( \Sigma_{1} \) placed at a distance \( D \) from the slits. The slit \( S_{3} \) is at the central line and the slit \( S_{4} \) is at a distance \( z \) from \( S_{3} \). Another screen \( \Sigma_{2} \) is placed a further distance \( D \) away from \( \Sigma_{1} \). Find the ratio of the maximum to minimum intensity observed on \( \Sigma_{2} \) if \( z \) is equal to
(a) \( z=\frac{\lambda D}{2 d} \),
(b) \( \frac{\lambda D}{d} \),
(c) \( \frac{\lambda D}{4 d} \).
Figure 17-E6
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