A) \[I=\sqrt{{{A}^{2}}+{{B}^{2}}{{\cos }^{2}}\varphi }\]
B) \[I=\frac{A}{B}\cos \varphi \]
C) \[I=A+B\cos \frac{\varphi }{2}\]
D) \[I=A+B\cos \varphi \] Where A and B depend upon the amplitudes of the two waves.
Correct Answer: D
Solution :
\[I=a_{1}^{2}+a_{2}^{2}+2{{a}_{1}}{{a}_{2}}\cos \varphi \] Put \[a_{1}^{2}+a_{2}^{2}=A\]and \[{{a}_{1}}{{a}_{2}}=B;\ \ \therefore I=A+B\cos \varphi \]
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