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

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To determine how many wavelengths of yellow-green light fit into a 0.500 mm space, first calculate the wavelength using the formula wavelength = c/f, where c is the speed of light and f is the frequency. Given a frequency of 5.50 x 10^14 Hz, the wavelength is found to be approximately 5.45 x 10^-7 m. Next, convert 0.500 mm to meters, which is 0.0005 m, and divide this distance by the wavelength to find the number of wavelengths that can fit. The discussion emphasizes understanding the relationship between frequency and wavelength rather than merely manipulating equations. This conceptual clarity is crucial for solving the problem effectively.
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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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