Energy of photons of given frequency and number
$begingroup$
I’m having trouble with calculating the energy of $pu{5.00e10}$ photons of frequency $pu{1.00e9 s-1}$.
I know that to calculate the energy $E = hf$ is to be used. However, I am unaware as to what to do with the $pu{5.00e10}$ value and its meaning.
physical-chemistry energy
edited Mar 17 at 11:24
andselisk
18.6k657122
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
$endgroup$
add a comment |
$begingroup$
I’m having trouble with calculating the energy of $pu{5.00e10}$ photons of frequency $pu{1.00e9 s-1}$.
I know that to calculate the energy $E = hf$ is to be used. However, I am unaware as to what to do with the $pu{5.00e10}$ value and its meaning.
physical-chemistry energy
edited Mar 17 at 11:24
andselisk
18.6k657122
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
$endgroup$
add a comment |
$begingroup$
I’m having trouble with calculating the energy of $pu{5.00e10}$ photons of frequency $pu{1.00e9 s-1}$.
I know that to calculate the energy $E = hf$ is to be used. However, I am unaware as to what to do with the $pu{5.00e10}$ value and its meaning.
physical-chemistry energy
edited Mar 17 at 11:24
andselisk
18.6k657122
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
$endgroup$
I’m having trouble with calculating the energy of $pu{5.00e10}$ photons of frequency $pu{1.00e9 s-1}$.
I know that to calculate the energy $E = hf$ is to be used. However, I am unaware as to what to do with the $pu{5.00e10}$ value and its meaning.
physical-chemistry energy
physical-chemistry energy
edited Mar 17 at 11:24
andselisk
18.6k657122
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
edited Mar 17 at 11:24
andselisk
18.6k657122
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
edited Mar 17 at 11:24
andselisk
18.6k657122
edited Mar 17 at 11:24
andselisk
18.6k657122
edited Mar 17 at 11:24
andselisk
18.6k657122
18.6k657122
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
asked Mar 17 at 11:06
Huda AlnusairiHuda Alnusairi
383
383
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Analogy: you have 5 bottles of coke 1 L each; what is the total volume?
The formula you shown $(E = hf)$ is derived for exactly one photon.
Now, since you have 50 billion of photons $(N = pu{5.00e10})$, guess what total energy it would be?
$$E_mathrm{tot} = Nhf = pu{5.00e10}cdotpu{6.63e-34 J s}cdotpu{1.00e9 s-1} = pu{3.32e-14 J}$$
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
$endgroup$
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
1
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
add a comment |
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1 Answer
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$begingroup$
Analogy: you have 5 bottles of coke 1 L each; what is the total volume?
The formula you shown $(E = hf)$ is derived for exactly one photon.
Now, since you have 50 billion of photons $(N = pu{5.00e10})$, guess what total energy it would be?
$$E_mathrm{tot} = Nhf = pu{5.00e10}cdotpu{6.63e-34 J s}cdotpu{1.00e9 s-1} = pu{3.32e-14 J}$$
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
$endgroup$
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
1
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
add a comment |
$begingroup$
Analogy: you have 5 bottles of coke 1 L each; what is the total volume?
The formula you shown $(E = hf)$ is derived for exactly one photon.
Now, since you have 50 billion of photons $(N = pu{5.00e10})$, guess what total energy it would be?
$$E_mathrm{tot} = Nhf = pu{5.00e10}cdotpu{6.63e-34 J s}cdotpu{1.00e9 s-1} = pu{3.32e-14 J}$$
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
$endgroup$
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
1
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
add a comment |
$begingroup$
Analogy: you have 5 bottles of coke 1 L each; what is the total volume?
The formula you shown $(E = hf)$ is derived for exactly one photon.
Now, since you have 50 billion of photons $(N = pu{5.00e10})$, guess what total energy it would be?
$$E_mathrm{tot} = Nhf = pu{5.00e10}cdotpu{6.63e-34 J s}cdotpu{1.00e9 s-1} = pu{3.32e-14 J}$$
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
$endgroup$
Analogy: you have 5 bottles of coke 1 L each; what is the total volume?
The formula you shown $(E = hf)$ is derived for exactly one photon.
Now, since you have 50 billion of photons $(N = pu{5.00e10})$, guess what total energy it would be?
$$E_mathrm{tot} = Nhf = pu{5.00e10}cdotpu{6.63e-34 J s}cdotpu{1.00e9 s-1} = pu{3.32e-14 J}$$
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
edited Mar 17 at 11:50
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
answered Mar 17 at 11:41
andseliskandselisk
18.6k657122
18.6k657122
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
1
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
add a comment |
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
1
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
How about if I am given instead of a frequency value a wavelength value along with the photon value, how do I answer solve for the energy.
$endgroup$
– Huda Alnusairi
Mar 17 at 12:08
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
$$f = frac{c}{λ},$$ where $c$ – speed of light; $λ$ – wavelength.
$endgroup$
– andselisk
Mar 17 at 12:24
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
For the speed of light do I use c= 3.00E8 and if I do, do I use the frequency value gained to solve for the energy?
$endgroup$
– Huda Alnusairi
Mar 17 at 12:32
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
$begingroup$
Yes, you do, but mind the units. If you take $c = pu{3.00e8 m s-1}$, then make sure you plug in the wavelength in meters.
$endgroup$
– andselisk
Mar 17 at 12:36
1
1
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
$begingroup$
Thank you very much!
$endgroup$
– Huda Alnusairi
Mar 17 at 12:45
add a comment |
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