Suppose a single slit like the one in the figure above is 6.00 cm wide and in front of a microwave source operating at 7.5 GHz.
a. Calculate the angle subtended by the first minimum in the diffraction pattern.
b. What is the relative intensity I/Imax at θ= 15° ?
c. Consider the case when there are two such sources, separated laterally by 20.0 cm, behind the slit. What must the maximum distance between the plan of the sources and the slit be if the diffraction patterns are to be resolved?
(Note: In this case, the approximation sinθ = tanθ is not valid because of the relatively small value of a/λ . Do not use small θ approximation.