Two independent radio towers (which may or may not be in phase with each other) transmit radio waves with a frequency of 3,000 kHz. The towers transmit these waves to two islands (Ogakor and Kucha), which always receive a constant constructive interference signal. Both of the islands are located at angle B with respect to the centerline (but on opposite sides of the centerline). Ogakor Island is 11,858 meters from Tower B and 11,508 meters from Tower A. Kucha Island is 12,512 meters from Tower A and 12,162 meters from Tower B. The distance, d, between the two towers is unknown but it is much less than the distances given above.
Two independent radio towers (which may or may not be in phase with each other) transmit radio waves with a frequency of 3,000 kHz. The towers transmit these waves to two islands (Ogakor and Kucha), which always receive a constant constructive interference signal. Both of the islands are located at angle B with respect to the centerline (but on opposite sides of the centerline). Ogakor Island is 11,858 meters from Tower B and 11,508 meters from Tower A. Kucha Island is 12,512 meters from Tower A and 12,162 meters from Tower B. The distance, d, between the two towers is unknown but it is much less than the distances given above.
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Please provide equations used - do not just input numbers! Thanks.
All questions refer to first figure.
Transcribed Image Text:c. Since Ogakor Island experiences constructive interference with the path length difference found in part
b), what must be Aø (the constant phase difference) between Tower A and Tower B (more than one
answer may be correct)?
d. What type of interference must occur at the centerline (i.e. constructive, destructive, or neither) based
upon on your answers to parts b) and c)? Note that there is zero path length difference between light
from Tower A and Tower B on the centerline.
e. What is the path length difference for radio waves travelling from Tower A to Kucha Island compared to
radio waves traveling from Tower B to Kucha Island? What is the total phase difference for waves
travelling from Tower B compared to Tower A?
f. A boat goes in a straight line from Ogakor Island to Kucha Island as shown in the diagram above. How
many minima (i.e. completely destructive lines) will the boat detect as it goes from Ogakor Island to
Kucha Island?
Transcribed Image Text:Two independent radio towers (which may or may not
be in phase with each other) transmit radio waves with
a frequency of 3,000 kHz. The towers transmit these
waves to two islands (Ogakor and Kucha), which
always receive a constant constructive interference
signal. Both of the islands are located at angle ß with
respect to the centerline (but on opposite sides of the
centerline).
centerline -->
Kucha Island
Ogakor Island
boat course
Ogakor Island is 11,858 meters from Tower B and
11,508 meters from Tower A. Kucha Island is
12,512 meters from Tower A and 12,162 meters from
Tower B. The distance, d, between the two towers is
unknown but it is much less than the distances given
above.
Tower A
Tower B
d = ?
What is the wavelength for these transmitted radio
waves?
а.
b. What is the path length difference for radio waves travelling from Tower A to Ogakor Island compared
to radio waves traveling from Tower B to Ogakor Island? Is this path length difference an integer
number of the wavelength? Is this path length difference a half-integer number of the wavelength?
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