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

Question

Two sound waves of intensity 2 W / m 2 and 3 W / m 2 meet at a point to produce a resultant intensity 5 W / m 2. The phase difference between two waves is (A) π (B) (π/4) (C) (π/2) (D) Zero

Tardigrade Admin · Accepted Answer

I=I1+I2+2 √T1 √T2 cos φ 5=3+2+2 √6 cos φ ∴ cos φ=0 or φ=(π/2)

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

$π$

$\frac{π}{4}$

$\frac{π}{2}$

Zero

$I = I_{1} + I_{2} + 2 T_{1} T_{2} cos ϕ$
$5 = 3 + 2 + 26 cos ϕ$
$∴ cos ϕ = 0$
or $ϕ = \frac{π}{2}$

Q. Two sound waves of intensity 2W/m2 and 3W/m2 meet at a point to produce a resultant intensity 5W/m2. The phase difference between two waves is

π

4π​

2π​

Zero

I=I1​+I2​+2T1​​T2​​cosϕ 5=3+2+26​cosϕ ∴cosϕ=0 or ϕ=2π​

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

$π$

$\frac{π}{4}$

$\frac{π}{2}$

$I = I_{1} + I_{2} + 2 T_{1} T_{2} cos ϕ$
$5 = 3 + 2 + 26 cos ϕ$
$∴ cos ϕ = 0$
or $ϕ = \frac{π}{2}$