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

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Homework Help Overview

The problem involves determining how many wavelengths of yellow-green light can fit into a specified width of 0.500 mm, given the frequency of the light.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between frequency and wavelength, with one suggesting the need to calculate the wavelength from the given frequency. There is also a focus on understanding the conceptual basis behind the calculations rather than just performing mathematical manipulations.

Discussion Status

The discussion is active, with participants exploring the necessary calculations and emphasizing the importance of conceptual understanding. Some guidance has been provided regarding the relationship between frequency and wavelength, but no consensus or final solution has been reached.

Contextual Notes

Participants express uncertainty about the initial setup and the relevance of the equations mentioned. There is an emphasis on clarifying conceptual understanding before proceeding with calculations.

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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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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?
 
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
?
 
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.
 

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