Two wave of nearly same amplitude, same frequency travelling with same velocity are superimposing to give phenomenon of interference. If \( a_{1} \) and \( a_{2} \) be their respective amplitudes, \( \omega \) be the frequency for both, \( v \) be the velocity for both and \( \Delta \phi \) is the phase difference between the two waves then,
(A) The resultant intensity varies periodically with time and distance
(B) The resultant intensity with \( \frac{I_{\min }}{I_{\max }}=\left(\frac{a_{1}-a_{2}}{a_{1}+a_{2}}\right)^{2} \) is obtained for coherent waves travelling in the same direction.
(C) Both the waves must have constant phase difference at any point all the time.
(D) \( I_{R}=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}} \cos (\Delta \phi) \), where constructive interference is obtained for path differences that are odd multiple of \( \frac{1}{2} \lambda \) and destructive interference is obtained for path differences that are even multiple of \( \frac{1}{2} \lambda \)
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