Modern Physics Introduction Standing Wavelength and Frequency

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SUMMARY

The discussion focuses on calculating the smallest standing wavelength for light with a frequency of 600 THz. Using the equation λf = c, where c is the speed of light (2.998 x 10^8 m/s), the wavelength (λ) is determined to be approximately 4.997 x 10^-7 m. The conversation highlights the relationship between standing waves and string length, emphasizing that the smallest wavelength corresponds to the fundamental frequency of the string. This indicates that multiple wavelengths can exist, but the smallest is critical for understanding wave behavior in fixed systems.

PREREQUISITES
  • Understanding of wave equations, specifically λf = c
  • Familiarity with the concept of standing waves
  • Knowledge of frequency and wavelength relationships
  • Basic principles of light physics
NEXT STEPS
  • Research the concept of standing waves on strings and their harmonic frequencies
  • Learn about the implications of wave frequency on wavelength in different mediums
  • Explore the mathematical derivation of wave equations in physics
  • Investigate the applications of standing waves in optical systems
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in the properties of light and wave behavior in fixed systems.

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Homework Statement


Find the length of the smallest standing wave that can be formed with light having a frequency of 600THZ.


Homework Equations



f = 600*10^{12}Hz

c = 2.998x10^{8}\frac{m}{s}

\lambda f=c


The Attempt at a Solution



\lambda f=c

\lambda (600*10^{12}Hz)=(2.998x10^{8}\frac{m}{s}

\lambda = \frac{2.998x10^{8}\frac{m}{s}}{600*10^{12}Hz}

\lambda = 4.997x10^{-7}m

I think something is wrong because it is asking me to find a the "smallest" indicating that the wave can multiple values.
 
Physics news on Phys.org
Think about a string. What's the relationship between the wavelength of any standing wave on the string and the length of the string? What's the longest possible wavelength on a string of fixed length?
 

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