Explanation:
: We know that,
Phase difference \((\Delta \phi)=\frac{2 \pi}{\lambda} \times \Delta\mathrm{x}\)
For a constructive interference,
\(\Delta \phi=2 \mathrm{n} \pi\)
Where, \(\mathrm{n}=0,1,2,3 \ldots \ldots\).
\(\therefore \quad \Delta \phi =2 \mathrm{n} \pi=\frac{2 \pi}{\lambda} \times \Delta \mathrm{x}\)
\(\Delta \mathrm{x} =\mathrm{n} \lambda\)