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axis toward antenna A. What is P\'s distance from A when he first observes fully

ID: 2303075 • Letter: A

Question

axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves?


If observer P continues walking until he reaches antenna A, at how many places along the x axis (including the place you found in the previous problem) will he detect minima in the radio signal, due to destructive interference?

1500 pts for correct answer

As P gets closer A, the path length difference gets larger. What's the smallest path length difference that gives destructive interference?

Explanation / Answer

A. the value of hypotensue is X^2= 6.2^2 +80^2

X^2 = 36438.44

X = 80.239

apply V = Lf

wavelength L = 3e8/96*10^6 =3.125 m

now pathh difference from hyp to vertical distance is 2L =80.239-80 = 0.239 m

phase differenc= (2pi/L)path differecne

phase diff = 2*3.14*0.239/3.125 = 0.4802 rad