A) \[\frac{2D\lambda }{a(\mu -1)}\]
B) \[\frac{D\lambda }{a(\mu -1)}\]
C) \[\frac{2nD\lambda }{a(\mu -1)}\]
D) \[\frac{nD\lambda }{a(\mu -1)}\]
Correct Answer: B
Solution :
Path difference at central maxima \[\Delta x=(\mu 1)t,\] whole pattern will shift by same amount which will be given by \[(\mu 1)t\frac{D}{d}=n\frac{\lambda D}{d},\]according to the question \[t=\frac{n\lambda }{(\mu -1)}\] no option is matching, therefore question should be awarded bonus. \[\therefore \] Correct Option should be (Bonus)
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