c
Wave originating at $t=0$ from $S_{1}$ reaches point $A$ at $t=1$
Wave originating at $t=\frac{1}{2}$ from $S_{2}$ reaches point $A$ at $t=1$
So phase difference in these waves
$=\frac{\pi}{2}+\frac{\pi}{6}, A=\sqrt{A_{1}^{2}+A_{2}^{2}+2 A_{1} A_{2} \cos \phi}=5$