Two identical sources of sound S1 and S2 produce intensity I0 at a point P equi distant from source. If power of S1 is reduced to 64 % and phase difference between two sources is varied then let Im a x is maximum intensity at point P . Find 100× (Im a x/I0).

Question

Two identical sources of sound S1 and S2 produce intensity I0 at a point P equi distant from source. If power of S1 is reduced to 64 % and phase difference between two sources is varied then let Im a x is maximum intensity at point P . Find 100× (Im a x/I0). (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

I1=(0.64 I0/4)=0.16 I0 I2=(I0/4)=0.25 I0 I max =(√I1+√I2)2=(.4 √I0+0.5 √I0)2=0.81 I0

Q. Two identical sources of sound S1​ and S2​ produce intensity I0​ at a point P equi distant from source. If power of S1​ is reduced to 64% and phase difference between two sources is varied then let Imax​ is maximum intensity at point P . Find 100×I0​Imax​​.

I1​=40.64I0​​=0.16I0​ I2​=4I0​​=0.25I0​ Imax​=(I1​​+I2​​)2=(.4I0​​+0.5I0​​)2=0.81I0​

$I_{1} = \frac{0.64 I _{0}}{4} = 0.16 I_{0}$
$I_{2} = \frac{I _{0}}{4} = 0.25 I_{0}$
$I_{m a x} = (I_{1} + I_{2})^{2} = (.4 I_{0} + 0.5 I_{0})^{2} = 0.81 I_{0}$