Question

two sound wave of intensity 2w/m^2 and 3w/m^2 meet at a point to produce a resultant intensity 5w/m^2. the phase difference between two waves is? (1)π. (2)π\4 (3) π\2 (4) 0​

Answer 1

Angle between both the wave will be $\frac{\pi }{2}$

So option (3) will be correct answer

Explanation:

We have given two sounds waves of intensity $I_1=2w/m^2$ and $I_2=3w/m^2$

Resultant intensity $I=5w/m^2$

We have to find the angle between these two wave

Resultant intensity is given by

$I=I_1+I_2+2\sqrt{I_1I_2cos\Theta }$

$5=2+3+2\sqrt{2\times 3\times cos\Theta }$

$cos\Theta =0$

$\Theta =\frac{\pi }{2}$

So phase difference between both the wave will be $\frac{\pi }{2}$

So option (3) will be correct answer

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