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Question

In the figure the intensity of waves arriving at D from two coherent sources s1 and s2 is I0. The wavelength of the wave is λ=4m. Resultant intensity at D will be


A

4I0

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B

I0

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C

2I0

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D

Zero

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Solution

The correct option is C

2I0


Path difference

Δx=s2Ds1D=54=1 m

The corresponding phase difference will be

Φ=2πλ.Δx=(2π4)(1)=π2

Using I=I1+I2+2I1I2 cosφ

I=I0+I0+2I0I0 cosπ2=2I0


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