Two coherent sources of intensities I1 and I2 produce an interference pattern. The maximum intensity in the interference pattern will be

Question

Two coherent sources of intensities I1 and I2 produce an interference pattern. The maximum intensity in the interference pattern will be (A) I1+I2 (B) I12+I22 (C) (I1+I2)2 (D) (√I1+√I2)2

Tardigrade Admin · Accepted Answer

Resultant intensity IR=I1+I2+2 √I1 I2 cos φ For maximum IR, φ=0° ⇒ IR=I1+I2+2 √I1 I2=(√I1+√I2)2

Q. Two coherent sources of intensities $I_{1}$ and $I_{2}$ produce an interference pattern. The maximum intensity in the interference pattern will be

$I_{1} + I_{2}$

$I_{1}^{2} + I_{2}^{2}$

$(I_{1} + I_{2})^{2}$

$(I_{1} + I_{2})^{2}$

Resultant intensity $I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2} cos ϕ$
For maximum $I_{R}, ϕ = 0^{\circ}$
$\Rightarrow I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2} = (I_{1} + I_{2})^{2}$

Q. Two coherent sources of intensities I1​ and I2​ produce an interference pattern. The maximum intensity in the interference pattern will be

I1​+I2​

I12​+I22​

(I1​+I2​)2

(I1​​+I2​​)2

Resultant intensity IR​=I1​+I2​+2I1​I2​​cosϕ For maximum IR​,ϕ=0∘ ⇒IR​=I1​+I2​+2I1​I2​​=(I1​​+I2​​)2

Q. Two coherent sources of intensities $I_{1}$ and $I_{2}$ produce an interference pattern. The maximum intensity in the interference pattern will be

$I_{1} + I_{2}$

$I_{1}^{2} + I_{2}^{2}$

$(I_{1} + I_{2})^{2}$

$(I_{1} + I_{2})^{2}$

Resultant intensity $I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2} cos ϕ$
For maximum $I_{R}, ϕ = 0^{\circ}$
$\Rightarrow I_{R} = I_{1} + I_{2} + 2 I_{1} I_{2} = (I_{1} + I_{2})^{2}$