Question

Two sound waves of intensity $2W/m^2$ and $3W/m^2$ meet at point to produce a resultant intensity $5W/m^2$. The phase difference between two waves is

• A. $\pi$
• B. $\frac{\pi }{4}$
• C. $\frac{\pi }{2}$
• D. $zero$

Answer 1

The correct option is C $\frac{\pi }{2}$

Here we know

$I=I_1+I_2+2\sqrt{I_1{I}_{2}cos\theta }$

Where $\theta$ is phase difference

$S=2+3+2\sqrt{6cos\theta }$

$cos\theta =0$

So the phase difference is $\pi /2$

Hence (A) is correct answer