When two light waves of equal intensity superimpose, the maximum intensity obtained is I. If the intensity of one of the waves is quadrupled, then the maximum intensity obtained is
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Remember that intensity is proportional to the square of the amplitude (\(I \propto A^2\)). Therefore, the maximum intensity formula \(I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2\) is equivalent to adding the amplitudes for constructive interference: \(A_{max} = A_1 + A_2\), and then squaring.