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Waves from two sources of intensities I and 3I are used in an interference experiment. Calculate the intensity at point where the waves superimpose with a phase difference of `(i) pi//2 and (ii) pi`.

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To solve the problem of finding the intensity at a point where waves from two sources of intensities \( I \) and \( 3I \) superimpose with a phase difference of \( \frac{\pi}{2} \) and \( \pi \), we will use the formula for resultant intensity in interference: \[ I_R = I_1 + I_2 + 2 \sqrt{I_1 I_2} \cos \phi \] where: - \( I_1 \) is the intensity of the first wave, ...
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