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# Suppose that the single slit in Figure 38.6 is 6.00 $\mathrm{cm}$ wide and in front of a microwave source operating at 7.50 $\mathrm{GHz}$ . (a) Calculate the angle subtended by the first minimum in the diffraction pattern. (b) What is the relative intensity $I / I_{\max }$ at $\theta=15.0^{\circ} ?(\mathrm{c})$ Assume that two such sources, separated laterally by $20.0 \mathrm{cm},$ are behind the slit. What must the maximum distance between the plane of the sources and the slit be if the diffraction patterns are to be resolved? (In this case, the approximation $\sin \theta \approx \tan \theta$ is not valid because of the relatively small value of $a / \lambda . )$

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