Waves question (wavelength, period, etc)

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SUMMARY

The discussion centers on calculating various properties of waves generated by a transmitter emitting 1.8x10^7 waves per minute. The frequency is determined to be 300,000 Hz, derived from the period calculated as 3.3 x 10^-6 seconds. The wavelength can be found using the equation V = f x (wavelength), where V is the speed of light (3.00x10^8 m/s). Additionally, the time for a crest to travel 20.0 km and the number of nodes between the transmitter and receiver are also explored.

PREREQUISITES
  • Understanding of wave properties including frequency, period, and wavelength
  • Familiarity with the equation V = f x (wavelength)
  • Knowledge of the speed of light (3.00x10^8 m/s)
  • Basic concepts of standing waves and nodes
NEXT STEPS
  • Calculate the wavelength using the formula V = f x (wavelength)
  • Determine the time taken for a wave crest to travel 20.0 km
  • Research the concept of nodes in standing waves
  • Explore the relationship between wavelength and the number of wavelengths fitting in a given distance
USEFUL FOR

Students preparing for physics exams, educators teaching wave mechanics, and anyone interested in understanding wave properties and calculations.

ally.hady
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Homework Statement


A transmitter sends out 1.8x10^7 waves per minute and generates a standing wave pattern. The radio waves travel at the speed of light to a receiver 20.0km away. Determine :
a) the frequency in herts
b) period
c)wave length
d) the time for one crest to travel from the transmitter to the receiver.
e) the number of nodes between the transmitter and the receiver.

Homework Equations


F=1/t t=period, f=frequency
V=f x (wavelength)

The Attempt at a Solution


i found b first by
60 seconds/ 1.8 x 10 ^7
=3.3 x 10^-6
a) 1/3.3 x 10^-6
=300,000 herts
im confused after this can someone help me please? thankyou
 
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ally.hady said:

Homework Equations


F=1/t t=period, f=frequency
V=f x (wavelength)
Try using that last equation to find wavelength.
 
so

3.00x10^8 m/s / 300,000 = wavelength?
 
Yes (if you include the units along with that 300,000 number).
 
what about the other questions any tips?im lost
 
can anyone please help me? i have a final exam tomorrow :(
 
d) How far apart are the transmitter and receiver? How long does it take to go that distance, traveling at the speed the radio waves are going?

e) This is related to how many wavelengths will fit between the transmitter and receiver. Also, you'll need to look up what a node is, and how that relates to the number of wavelengths.

Good luck on your test.
 

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