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Consider the situation shown in figure. The two slits S₁ and S₂ placed symmetrically around the central line are illuminated by a monochromatic light of wavelength $λ$ . The separation between the slits is d. The light transmitted by the slits falls on screen-1 placed at a distance D from the slits. The slit S₃ is at the central line and the slit S₄ is at a distance z from S₃ . Another screen-2 is placed a further distance D away from screen-1. Then choose the CORRECT options - (ignoring diffraction effect and assume all slits are narrow)

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If $z = \frac{λ D}{d}$ then the ratio of the maximum to minimum intensity observed on Screen2 tends to $\infty$

if $z = \frac{λ D}{2 d}$ then the ratio of the maximum to minimum intensity observed on Screen2 is 1

If $z = \frac{λ D}{d}$ then the ratio of the maximum to minimum intensity observed on Screen 2 is approximately 12

If $z = \frac{λ D}{4 d}$ then the ratio of the maximum to minimum intensity observed on Screen 2 is approximately 34

answer is A, B, D.

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Detailed Solution

S₃, S₄ act as sources to the screen 2. Intensities due to S₃,& S₄ are decided by z

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