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Two light waves superimposing at the mid...

Two light waves superimposing at the mid-point of the screen are coming from coherent sources of light with phase difference `3pi` rad. Their amplitudes are 1 cm each. The resultant amplitude at the given point will be.

A

5 cm

B

3 cm

C

2 cm

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D

Resultant amplitude,
`A=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cos phi)`
Here, `A_(1)=A_(2)=1cm,phi=3pi`rad
` :. A=sqrt(I^(2)+I^(2)+2xx1xx1xxcos3pi)=sqrt(2+2xx(-1))=0`
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