The superposition takes place between two waves of frequency $f$ and amplitude $a.$ The total intensity is directly proportional to
Medium
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(d) Resultant amplitude
$A = \sqrt {{a^2} + {a^2} + 2aa\cos \phi } $$ = \sqrt {4{a^2}{{\cos }^2}\,\left( {\frac{\phi }{2}} \right)} $
$\because$ $I \propto A^2$ ==> $I \propto 4{a^2}$
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