How Many Wavelengths of Yellow-Green Light Fit in 0.500 mm?

In summary, to determine the number of wavelengths of yellow-green light that can fit into a space 0.500 mm wide, we first need to find the wavelength of the light using the formula wavelength = speed of light/frequency. This gives us a wavelength of 5.45 x 10^-7 m. Then, we can calculate how many of these wavelengths can fit into 0.500 mm by dividing 0.500 mm by the wavelength, giving us a total of approximately 916,000 wavelengths. Asking clarifying questions can be helpful in understanding the concepts behind the equations being used.
  • #1
roxxyroxx
48
0

Homework Statement


Yellow-green light has a frequency of 5.50 x 10^14 Hz. how many wavelengths of this light can fit into a space 0.500 mm wide?


Homework Equations



not sure ..
xn/L = n(lambda)/d
??

The Attempt at a Solution


?
 
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  • #2
The logically prior question to ask would seem to be, how big is ONE wavelength? You are given a frequency. Do you know what the relationship is between frequency and wavelength?
 
  • #3
f = c/wavelength
so wavelength = c/f
= (3.00 x 10^8 m/s)/(5.50 x 10^14 Hz)
= 5.45 x 10^-7 m
?
 
  • #4
Okay, so how many of those wavelengths fit into half a millimetre?

And why the question marks? If you don't understand what are you are doing conceptually and are just manipulating equations, then I would recommend asking for clarification. This is not just an exercise in math.
 

1. What is a physics wave?

A physics wave is a disturbance that transfers energy through a medium or space without permanently displacing the medium itself. It is characterized by its amplitude, wavelength, and frequency.

2. What are the types of physics waves?

The two main types of physics waves are transverse waves and longitudinal waves. Transverse waves have particle displacement perpendicular to the direction of wave propagation, while longitudinal waves have particle displacement parallel to the direction of wave propagation.

3. How do physics waves interact?

Physics waves can interact with each other in several ways, including constructive interference (waves combine to form a larger amplitude), destructive interference (waves cancel each other out), and resonance (a wave's frequency matches the natural frequency of an object, causing it to vibrate).

4. What is the relationship between frequency and wavelength?

The frequency of a wave is inversely proportional to its wavelength. This means that as frequency increases, wavelength decreases, and vice versa.

5. How can physics waves be applied in real life?

Physics waves have many practical applications, such as in communication systems (radio, TV, cell phones), medical imaging (ultrasound), and music production. They are also used in various industries, including transportation (sonar for navigation), construction (ultrasonic testing), and manufacturing (laser cutting).

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