Question: Two point sources that are in phase are separated by a distance d. An interference pattern is detected along a line parallel to the line

Two point sources that are in phase are separated by a distance d. An interference pattern is detected along a line parallel to the line through the sources and a large distance D from the sources, as shown in figure.

(a) Show that the path difference from the two sources to some point on the line at a small angle θ is given approximately by ∆_s = d sin θ.

(b) Show that the distance y_m from the central maximum point to the m_th interference maximum is given approximately by

DA Y. = m-

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