Two coherent sources of intensities,I_1 and I | vedclass

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(D) The resultant intensity $I_R$ of two coherent sources is given by the formula: $I_R = I_1 + I_2 + 2\sqrt{I_1 I_2} \cos \phi$,where $\phi$ is the p

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$(\sqrt{I_1} + \sqrt{I_2})^2$

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(D) The resultant intensity $I_R$ of two coherent sources is given by the formula: $I_R = I_1 + I_2 + 2\sqrt{I_1 I_2} \cos \phi$,where $\phi$ is the phase difference between the two waves.For maximum intensity,the phase difference $\phi$ must be an even multiple of $\pi$,i.e.,$\phi = 0, 2\pi, 4\pi, \dots$,which makes $\cos \phi = 1$.Substituting $\cos \phi = 1$ into the formula,we get: $I_{max} = I_1 + I_2 + 2\sqrt{I_1 I_2}$.This expression can be written as a perfect square: $I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2$.

Two coherent sources of intensities,$I_1$ and $I_2$ produce an interference pattern. The maximum intensity in the interference pattern will be

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