Transition Energy in ev's Emitted wavelengths in m

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To calculate the wavelength corresponding to the electron transition from energy level 2 to 1 in hydrogen, the energy difference must first be determined, which is 10.2 eV. The relationship between energy (E), frequency (f), and wavelength (λ) is given by E = hf and c = fλ, where c is the speed of light. Using Planck's constant in eV, the frequency can be calculated, and subsequently, the wavelength can be derived. For level 6 in a hydrogen atom, the energy can be calculated using the formula relating energy to the principal quantum number n, specifically E_n = -13.6 eV/n².
whiteshado
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could i get help or a formula for this question please

Use the Energy Levels for Hydrogen to calculate the wavelength corresponding to the following electron transition
Transition Energy in ev's Emitted wavelengths in m
2->1______ ________x10______
 
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Here's a formula you can use after you've discovered how many energy is contained in the photon emited during the transition of the electron

E=hf

where f is the frequency of the photon. How are frequency and wavelenght related?
 
taht is the question I am as stumped as you are tahts all the info i have i had taht equation though it doesn't haev wavelength also how do i find the energy?
 
I don't think quasar is stumped, i think he was asking you a question which has an answer. The energy should be a given, or predicted by the bohr model. Think back to waves what other equation relates wavelength and frequency.
 
well speed of sound divided by wavelength =frequency
 
is taht what you were asking for?
 
A photon travels at the speed of _____
 
hf is the energy of the radiated photons

thats all i got
 
Ok, a photon travels at the speed of light. If its energy is given by hF, then the relationship


c = (Frequency)(Wavelength) should give you its wavelength. All you ahve to do is find the energy drop from 2->1 and solve this equation and plug it into the E = hF one.
 
  • #10
whiteshado said:
well speed of sound divided by wavelength =frequency

This is also true for light. Light is a wave too, and a "photon" is only a fancy name we give to "little chuncks" (quanta!) of light.

So speed of light divided by wavelength =frequency.
 
  • #11
k so correct me if I am wrong 2-1 =-13.6 evs and w =-13.6evs/6.63e-34

?
 
  • #12
whiteshado said:
k so correct me if I am wrong 2-1 =-13.6 evs and w =-13.6evs/6.63e-34

?

-13.6 eV is the energy the electron has when it is in state n=1.

You're looking for the energy it has lost in going from state n=2 to state n=1, hence you want the difference between the energy of n=1 and the energy of n=2:

\Delta E = E_f - E_i
 
  • #13
12.2? is that it? nope it was 10.2
 
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  • #14
yeah.

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  • #15
hmm i got 1.15e53
10.2/1.6e-19/6.63e-34
its not right thought i think i missed soemthing
wait is this is my freqwuancy correcT?
 
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  • #16
1 kg = 1000 grams, so 2.3 kg = 2.3*1000 = 2300 grams.

Same thing here: 1 eV = 1.6*10^19 J, so 12.2 eV = 12.2*1.6*10^-19 J.
 
  • #17
ahhh i devided instead of multiplying
 
  • #18
In problems like this it's easier to use Planck's constant in eV instead of joules:

\frac {10.2 eV} {4.14 \times 10^{-15} eV \cdot seconds}
 
  • #19
jtbell said:
In problems like this it's easier to use Planck's constant in eV instead of joules:

\frac {10.2 eV} {4.14 \times 10^{-15} eV \cdot seconds}
=f=594574507617985878855444072835.38 correct?\
then speed of light/f=w
299 792 458/594574507617985878855444072835.38=5.04e-22

taht still doesn't give me the correct answer the correct answer is 1.22e-7
 
  • #20
Nope.It should be ~2.5 10^{15}Hz...And the wavelength ~1.22 10^{-7}m.

Daniel.
 
  • #21
ahh yes by useing Planck's constant in its original form thanks for the help again guys
 
  • #22
one mroe question on this the energy lvl of 3 in a hydrogen atom is -1.5 and lvl 1 is -13.6
though my graph shows the infinity sign and a 0.0 for where lvl 6 should be could i get the energy lvl of lvl 6 from someone? or how to get it
 
  • #23
U could have used the # given by J.T.I used,made that division correctly and wound up with the correct frequency...

Daniel.
 
  • #24
i did do taht after i posted and tried useing the constant in ev form
 
  • #25
whiteshado said:
one mroe question on this the energy lvl of 3 in a hydrogen atom is -1.5 and lvl 1 is -13.6
though my graph shows the infinity sign and a 0.0 for where lvl 6 should be could i get the energy lvl of lvl 6 from someone? or how to get it
How is E_n related to E_1 = -13.6~eV ?
 
  • #26
Gokul43201 said:
How is E_n related to E_1 = -13.6~eV ?
did i say that?
 
  • #27
No, I am. From E1, you can calculate E2, E3, ..., En, using a simple formula which relates the energy to the shell number (n). What is this formula ?
 
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