CBSE Class 12-science Answered
Please solve and also explain the reason during the same...
Asked by nitishkrnehu09 | 18 Nov, 2017, 10:32: PM
Expert Answer
Let two waves from S1 and S2 interfere at P.
The two waves are given by
where δ is the phase difference between two waves
The resultant is given by
(student should workout the required trignometry/algebra here )
Above equation shows that superposition of two sinusoidal waves with same frequency but with
phase difference gives superposition of two sinusoidal waves of same frequency but different amplitudes.
Where E is the resultant amplitude and φ is the resultant phase
By squaring and adding the above two equations we get
since Intensity I proportional to E2, we can write
If I1 = I2 = I0 and δ = 0, we get maximum Imax = 4I0
If I1 = I2 = I0 and δ = 2π, we get minimum Imin = 0
If I1 = I2 = I0 and δ ranging from 0 to 2π, we get intensity between Imax and Imin
which is given by I = (1+cosδ)2I0 .
When this intensity is averaged out for δ = 0 to 2π, we get average value 2I0
Hence the option (A) in the question is correct answer
Answered by | 04 Dec, 2017, 12:18: PM
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