Two sinusoidal waves of intensity I having same frequency and same amplitude interferes constructively at a point. The resultant intensity at a point will be

Question

Two sinusoidal waves of intensity I having same frequency and same amplitude interferes constructively at a point. The resultant intensity at a point will be (A) I (B) 2I (C) 4I (D) 8I

Tardigrade Admin · Accepted Answer

The resultant intensity is given by IR=I1+I2+2√I1I2 cosφ=1 For constructive interference, cosφ = 1 ∴ IR=I1+I2+2√I1I2 or IR=4I (Given I1=I2=I)

Q. Two sinusoidal waves of intensity $I$ having same frequency and same amplitude interferes constructively at a point. The resultant intensity at a point will be

$I$

$2 I$

$4 I$

$8 I$

The resultant intensity is given by
$I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2} cos ϕ = 1$
For constructive interference, cos $ϕ = 1$
$∴ I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2}$
or $I_{R} = 4 I (G i v e n I_{1} = I_{2} = I)$

Q. Two sinusoidal waves of intensity I having same frequency and same amplitude interferes constructively at a point. The resultant intensity at a point will be

I

2I

4I

8I

The resultant intensity is given by IR​=I1​+I2​+2I1​I2​​cosϕ=1 For constructive interference, cosϕ=1 ∴IR​=I1​+I2​+2I1​I2​​ or IR​=4I(GivenI1​=I2​=I)

Q. Two sinusoidal waves of intensity $I$ having same frequency and same amplitude interferes constructively at a point. The resultant intensity at a point will be

$I$

$2 I$

$4 I$

$8 I$

The resultant intensity is given by
$I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2} cos ϕ = 1$
For constructive interference, cos $ϕ = 1$
$∴ I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2}$
or $I_{R} = 4 I (G i v e n I_{1} = I_{2} = I)$