A radio broadcast antenna is 36.00 km from your house.

Chapter 28, Problem 35P

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Problem 35P

A radio broadcast antenna is 36.00 km from your house. Suppose an airplane is flying 2.230 km above the line connecting the broadcast antenna and your radio, and that waves reflected from the airplane travel 88.00 wavelengths farther than waves that travel directly from the antenna to your house.

(a) Do you observe constructive or destructive interference

between the direct and reflected waves? (Hint: Does a phase change occur when the waves are reflected?)

(b) The situation just described occurs when the plane is above a point on the ground that is two-thirds of the way from the antenna to your house. What is the wavelength of the radio waves?

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