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(B) For coherent sources,the resultant intensity is given by $I = I_1 + I_2 + 2\sqrt{I_1 I_2} \cos \phi$. At the central point,the path difference is

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$2 : 1$

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(B) For coherent sources,the resultant intensity is given by $I = I_1 + I_2 + 2\sqrt{I_1 I_2} \cos \phi$. At the central point,the path difference is zero,so $\phi = 0$. Given $I_1 = I_2 = I_0$,the intensity for coherent sources is $I_{coh} = I_0 + I_0 + 2\sqrt{I_0 I_0} \cos(0) = 4I_0$. For incoherent sources,the phase difference $\phi$ varies randomly with time,so the average value of $\cos \phi$ is $0$. Thus,the resultant intensity for incoherent sources is $I_{incoh} = I_1 + I_2 = I_0 + I_0 = 2I_0$. The ratio of the intensities is $\frac{I_{coh}}{I_{incoh}} = \frac{4I_0}{2I_0} = \frac{2}{1}$.

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