Modern Physics Introduction Standing Wavelength and Frequency

In summary, to find the length of the smallest standing wave formed with light of 600THz frequency, we can use the equation lambda f = c and substitute the given values of frequency and speed of light. This results in a wavelength of 4.997x10^-7m. However, this may not be the smallest possible wavelength as the length of the string can vary and affect the wavelength.
  • #1
fallen186
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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



[tex]f = 600*10^{12}Hz[/tex]

[tex]c = 2.998x10^{8}\frac{m}{s}[/tex]

[tex]\lambda f=c[/tex]


The Attempt at a Solution



[tex]\lambda f=c[/tex]

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

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

[tex]\lambda = 4.997x10^{-7}m[/tex]

I think something is wrong because it is asking me to find a the "smallest" indicating that the wave can multiple values.
 
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  • #2
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?
 

1. What is modern physics?

Modern physics is a branch of physics that deals with the study of the fundamental particles and forces that make up the universe, as well as the behavior of matter and energy at a subatomic level. It includes theories such as quantum mechanics, relativity, and particle physics.

2. What is a standing wavelength?

A standing wavelength is a type of wave that appears to be standing still, hence the name. It is created when two waves of equal amplitude and frequency moving in opposite directions interfere with each other, causing the overall wave to appear stationary. It is commonly seen in string instruments, where the string vibrates at a specific frequency to produce a standing wavelength.

3. How is frequency related to standing wavelength?

Frequency and standing wavelength are inversely proportional to each other. This means that as the frequency of a wave increases, the standing wavelength decreases and vice versa. This relationship is described by the equation f = v/λ, where f is frequency, v is the speed of the wave, and λ is the wavelength.

4. What is the significance of standing waves in modern physics?

Standing waves have many practical applications in modern physics. They are used in technologies such as ultrasound imaging, fiber optics, and laser technology. They also play a crucial role in understanding the properties of matter and the behavior of particles at a subatomic level.

5. How does modern physics explain standing waves?

Modern physics explains standing waves through the principles of quantum mechanics and relativity. According to quantum mechanics, particles can exist in a state of superposition, meaning they can exist in multiple states simultaneously. This allows for the formation of standing waves. Relativity, on the other hand, explains the behavior of standing waves in terms of space-time and how it can be warped by the presence of matter and energy.

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