Answer "What Does C=Vλ Mean? Find Energy of Photon

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The equation C = Vλ relates the speed of light (c), frequency (ν), and wavelength (λ) of a photon. The correct interpretation is that ν represents frequency, not "speed of frequency," and is measured in Hertz (Hz). For a photon with a wavelength of 450 nm, the frequency is calculated as ν = c/λ, yielding approximately 7 x 10^14 Hz. To find the energy of the photon, the formula E = hν can be used, where h is Planck's constant. Additionally, using E = hc/λ allows for direct calculation of energy in electron volts when λ is in nanometers.
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Okay, I just need to grasp what the equation C = Vλ means
.
Correct me if I am wrong.
c = speed of light
v = speed of frequency
λ = wavelength

So if I wanted to find the speed of the frequency of a photon with a wavelength of 450nm

So I would use
v = c/λ
v = 299,792,458/4.5 * 10^(-11)
= 6.662054622 * 10^18

Then, if I wanted to find the energy of the photon, I would just multiply that number by planks constant (6.26 * 10^-34) and I get the energy of a quantum leap from an atom and the photon's energy itself, right?
 
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You seem to have a couple of problems. First to find the units on a quantity do dimensional analysis. This means to do algebra on the units of the quantities involved. In this case we have

\nu = \frac c {\lambda}

the units of c are m/s the units of \lambda are m so you have

\nu = \frac {\frac m s} m

so the units for \nu are s -1 more commonly called Hertz or Hz.

Now for your numerical value, do you understand the meaning of the exponential term? Your number is off by many orders of magnitude. I get something like 7 e14 or 700,000,000,000,000Hz
 
450nm is 4.5*10^-7 not -11

Nano is 10^-9

Also, we usually just call Frequency "frequency" instead of "speed of frequency" since there's no real speed (in the physics sense) involved.
 
Integral already mentioned it, but explicitly: it's not v, it's \nu. While v normally denotes a speed, \nu stands for a frequency, which is quite different.
 
Ich said:
Integral already mentioned it, but explicitly: it's not v, it's \nu. While v normally denotes a speed, \nu stands for a frequency, which is quite different.

Even more useless info:
http://en.wikipedia.org/wiki/Nu_(letter)
 
To avoid confusion, I'd use "f".
 
zeromodz said:
Okay, I just need to grasp what the equation C = Vλ means
.
Correct me if I am wrong.
c = speed of light
v = speed of frequency
λ = wavelength

So if I wanted to find the speed of the frequency of a photon with a wavelength of 450nm

So I would use
v = c/λ
v = 299,792,458/4.5 * 10^(-11)
= 6.662054622 * 10^18

Then, if I wanted to find the energy of the photon, I would just multiply that number by planks constant (6.26 * 10^-34) and I get the energy of a quantum leap from an atom and the photon's energy itself, right?


In additon to what others mentioned...

Since you know that E=h\nu, you could just do this to find the energy of a photon:

\nu = \dfrac{c}{\lambda}

E = \dfrac{hc}{\lambda}

A helpful number to remember is the value of hc. So if you express your wavelength in nanometers, you can get the energy in electron volts like this:

E = \dfrac{1240eV\times nm}{\lambda}
 
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