Question

Two waves originating from sources $S_1$ and $S_2$ having zero phase difference and common wavelength $\lambda$ will show complete destructive interference at a point P if $s_{1}p-s_{2}p$ :

• A. $\frac{5\lambda }{2}$
• B. $\frac{3\lambda }{4}$
• C. $\frac{4\lambda }{2}$
• D. $\frac{11\lambda }{2}$

Answer 1

The correct option is A $\frac{5\lambda }{2}$

A complete destructive interference at a point p will happen when $s_{1}p-s_{2}p=n\frac{\lambda }{2}$ where n is odd number.
So, from given options $\frac{5\lambda }{2}$ and $\frac{11\lambda }{2}$ are possible answers