The following figure shows sources S_1 and S_ | vedclass

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(A) For path $1$,which is the perpendicular bisector of the line joining $S_1$ and $S_2$,the path difference between the waves from $S_1$ and $S_2$ is

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Path $1$

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(A) For path $1$,which is the perpendicular bisector of the line joining $S_1$ and $S_2$,the path difference between the waves from $S_1$ and $S_2$ is always $0$ at any point on this path.Since the path difference is $0$,which is an even multiple of $\frac{\lambda}{2}$,constructive interference occurs,and a maxima is obtained all along path $1$.For path $2$,which lies along the line joining the sources,the path difference between the waves from $S_1$ and $S_2$ is equal to the separation between the sources,which is $1.5\lambda$.Since $1.5\lambda$ is an odd multiple of $\frac{\lambda}{2}$ (i.e.,$3 	imes \frac{\lambda}{2}$),destructive interference occurs,and a minima is obtained all along path $2$.

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