Two waves each of amplitude $A_0$ produce a resultant wave of amplitude $A_0$ on superposition. The phase…
Two waves each of amplitude $A_0$ produce a resultant wave of amplitude $A_0$ on superposition. The phase difference between the two waves is [MP PMT 2013]
$\frac{\pi}{3}$
$\frac{2\pi}{3}$
$\frac{\pi}{2}$
$\frac{\pi}{4}$
Solution
Phase difference between two waves is given by
$A_0 = (A_0^2 + A_0^2 + 2A_0 \cdot A_0 \cos \phi)^{1/2}$
$\Rightarrow \cos \phi = -\frac{1}{2} \Rightarrow \phi = \frac{2\pi}{3}$