The ship in the figure below travels along a straight line parallel to the shore

Question

The ship in the figure below travels along a straight line parallel to the shore and a distance d = 670 m from it. The ship's radio receives simultaneous signals of the same frequency from antennas A and B, separated by a distance L= 890 m apart. The signals interfere constructively at point C, which is equidistant from A and B. The signal goes through the first minimum at point D, which is directly outward from the shore from point B. Determine the wavelength of the radio waves.

m

The ship in the figure below travels along a straight line parallel to the shore and a distance d = 670 m from it. The ship's radio receives simultaneous signals of the same frequency from antennas A and B, separated by a distance L= 890 m apart. The signals interfere constructively at point C, which is equidistant from A and B. The signal goes through the first minimum at point D, which is directly outward from the shore from point B. Determine the wavelength of the radio waves. m

Explanation / Answer

This is just like young's experiment. Use the same formula.

Wavelength = (1/2)(distance betweeen A&B)(distance between C&D)/(distance to shore)

The 1/2 is because you only want to go from the principal anti-node to the first node.

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