A) \[\left( 2n+1 \right)\lambda \]
B) \[2n\pi \]
C) \[n\lambda \]
D) \[\left( 2n+1 \right)\frac{\pi }{2}\]
Correct Answer: C
Solution :
Phase difference, \[\Delta \phi =\frac{2\pi }{\lambda }\Delta x\] In a constructive interference, \[\Delta \phi =2n\pi \] where \[n=0,1,\text{ }2,\text{ }3,...\] \[\therefore \] \[2n\pi =\frac{2\pi }{\lambda }\Delta x\] or \[\Delta x=n\lambda \]
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