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Question: Two light waves superimposing at the mid- point of the screen are coming from coherent source of lig...

Two light waves superimposing at the mid- point of the screen are coming from coherent source of light with phase difference 3π3\pirad. Their amplitudes are 1cm each. The resultant amplitude at the given point will be :

A

5 cm

B

3 cm

C

2 cm

D

Zero

Answer

Zero

Explanation

Solution

: Resulting amplitude

A=A12+A22+2A1A2cosφA = \sqrt{A_{1}^{2} + A_{2}^{2} + 2A_{1}A_{2}\cos\varphi}

Here A1=A2=1cm,φ=3πradA_{1} = A_{2} = 1cm,\varphi = 3\pi rad

}{= \sqrt{2 + 2 \times ( - 1)} = 0}$$