How Do I Solve These Wavelength and Frequency Problems?

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SUMMARY

This discussion focuses on solving wavelength and frequency problems in physics, specifically involving light and radio waves. The frequency of yellow light is given as 5.5 x 1014 Hz, with the speed of light at 300,000 km/s, allowing for the calculation of its wavelength. Additionally, the discussion covers AM radio frequencies ranging from 570 kHz to 1580 kHz and FM frequencies from 88 MHz to 108 MHz, emphasizing the relationship between frequency, wavelength, and wave speed. The tension in a string affecting wave velocity is also addressed, with a specific example provided.

PREREQUISITES
  • Understanding of wave speed, frequency, and wavelength relationships
  • Basic knowledge of physics formulas related to wave mechanics
  • Familiarity with units of measurement: Hertz (Hz), kilohertz (kHz), megahertz (MHz), and meters (m)
  • Ability to manipulate algebraic equations for solving physics problems
NEXT STEPS
  • Learn how to calculate wavelength using the formula: Wavelength = Speed of Light / Frequency
  • Explore the relationship between tension, mass per unit length, and wave velocity on a string
  • Study the differences between AM and FM radio wave properties and their applications
  • Investigate the concept of wave frequency and its impact on sound and light waves
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone needing to solve wavelength and frequency problems in practical applications.

chrish
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hey guys idk how you know all this stuff, and id appreciate if you helped me. i have to do wavelength and and frequency problems and i don't really understand how to do it the way my teacher taught it, so here they are and thanks for helping me.



1.The frequency of yellow light is 5.5 x10^14 Hz. Find the wavelength of yellow light. The speed of light is 300 000 km/s.



2.AM radio signals are broadcast at frequencies between 570 kHz and 1580 kHz (kilohertz) and travel 3.0 x10^8 m/s.

(a) What is the range of wavelengths for these signals? (Enter the wavelengths from shortest to longest.)
____m to ______ m
(b) FM frequencies range between 88 MHz and 108 MHz (megahertz) and travel at the same speed. What is the range of FM wavelengths?
______ m to _____ m


3.The velocity of a wave on a string depends on how hard the string is stretched, and on the mass per unit length of the string. If FT is the tension in the string, and µ is the mass/unit length, then the velocity, v, can be determined.
physicsq.gif

heres a pic of the formula i have to use

A piece of string 5.30 m long has a mass of 17.0 g. What must the tension in the string be to make the wavelength of a 120 Hz wave 120.0 cm?

thanks again
 
Last edited:
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What is the basic relationship between wavelength, frequency and speed?

Look at the units of each of those quanities, see if you figure out a way to combine them that gives you the units you need.
 
i really have no idea about any of these, they become way too confusing, i know that you can use frequency and wavelength to get speed, but that's about it
 
chrish said:
i really have no idea about any of these, they become way too confusing, i know that you can use frequency and wavelength to get speed, but that's about it
You're definitely on the right track. Now check your text to see what it says about them. Once you note that relationship (hint: it is linear expression), you can find your solutions. (Curious, what grade is this being presented?)
 
Last edited:
Speed is distance over time, yes? And wavelength is...? And the relationship between frequency and time is...? You really should be able to figure it out from there even without the book.
 
Check out the units.

Wavelength = meters
Speed of light = meters DIVIDED by seconds
Frequency = 1 DIVIDED by seconds

write these down on a piece of paper and try to figure it out from there... what are you trying to get?
 

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