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Question:

Consider a Young's double slit experiment as shown in the figure. What should be the slit separation d in terms of wavelength λ such that the first minima occurs directly in front of the slit (S1)?

λ(√5)

λ2(5−√2)

λ(5−√2)

λ2(√5)

Solution:

The correct option is D λ2(√5)
x1=2d
x2=√5d
Δx=x2−x1
√5d−2d=λ/2
d=λ2(√5)