Concept explainers
(a)
The longest wavelength that interfere constructively.
(a)
Answer to Problem 61AP
The longest wavelength that interfere constructively is
Explanation of Solution
Write the expression to find the distance that the ray travels from the top of the transmitter to the ground.
Here,
Write the expression for the phase shift between the two waves.
Here,
Conclusion:
Substitute
Substitute
Rewrite the above equation to find the wavelength.
Substitute
Therefore, the longest wavelength that interfere constructively is
(b)
The longest wavelength that interfere destructively .
(b)
Answer to Problem 61AP
The longest wavelength that interfere destructively is
Explanation of Solution
Write the expression to find the distance that the ray travels from the top of the transmitter to the ground.
Here,
Write the expression for the phase shift between the two waves.
Here,
Conclusion:
Substitute
Substitute
Rewrite the above equation to find the wavelength.
Substitute
Therefore, the longest wavelength that interfere destructively is
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Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
- 35. Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d - 50.0 m and both a distance A - 35.0 m above the ground. The receiver can receive sig- nals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. Determine the longest wave- lengths that interfere (a) constructively and (b) destructively. Transmitter Recriver Figure P36.35 Problems 35 and 36.arrow_forwardTwo antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle. What is the phase difference between the waves arriving at P from antennas A and B? Enter your answer in radiansarrow_forwardTwo antennas located at points A and B are broadcasting radio waves of frequency 96.0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 6.20 m. An observer, P, is located on the x axis, a distance x= 84.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and B? A P X B 4.594x10-¹ rad Computer's answer now shown above. You are correct. Your receipt no. is 158-6031 > Previous Tries Now observer P walks along the x axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves? 1.203 m As P gets closer A, the path length difference gets larger. What's the smallest path length difference that gives destructive interference? Submit Answer Tries 0/6 Submit Answer Incorrect. Tries 1/6 Previous Tries If observer P continues walking until he reaches antenna A, at how many places along the x…arrow_forward
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