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Question: Two waves being produced by two sources \(S_{1}\)and \(S_{2}\). Both sources have zero phase differe...

Two waves being produced by two sources S1S_{1}and S2S_{2}. Both sources have zero phase difference and have wavelength λ. The destructive interference of both the waves will occur of point P if (S1PS2P)(S_{1}P - S_{2}P) has the value

A

B

34λ\frac{3}{4}\lambda

C

D

112λ\frac{11}{2}\lambda

Answer

112λ\frac{11}{2}\lambda

Explanation

Solution

For destructive interference, path difference the waves meeting at P (i.e. S1PS2P)S_{1}P - S_{2}P) must be odd multiple of λ/2. Hence option (4) is correct.]