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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The ship in Figure P14.39 travels along a straight line parallel to the shore and a distance d = 600 m from it. The ship’s radio receives simultaneous signals of the same frequency from antennas A and B, separated by a distance L = 800 m. 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 wave-length of the radio waves.

images

Figure P14.39

To determine
The wave length of the radio waves.

Explanation

Given Info: The distance of the ship from the shore is 600 m and the points A and B are separated by a distance of 800 m.

Formula for to calculate the distance between point A and D is,

lAD=d2+L2

lAD is the distance between point A and D,

L is the distance of separation between A and B,

 d is the distance of the ship from the shore,

Substitute 600m for d and 800m for AB in the above expression to get lAD .

lAD=(600m)2+(800m)2=1000m

The distance between the point A and D is 1000 m

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