Value of n for the energy level transition that produce lamb

In summary, the conversation discusses a question about the quantum numbers for an energy level transition that produces a wavelength of 410.2*10^-9m in a hydrogen atom. The equation 1/(lambda) = R * (1/2^2 - 1/n^2) is referenced, and the individual has experience using the equation to find lambda but not the other way around. They mention trying to solve for n but are unsure which series to use. The question is ultimately answered with the initial and final values of n being 6 and 2 respectively, using the Rydberg equation.
  • #1
mss90
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Homework Statement



A wavelenght of 410.2*10^-9m is emitted by the hydrogen atom in a high voltage discharge tube. what are the initial and final values of the quantum number n for the energy lvl transition that produces this wavelength?

Homework Equations


1/(lambda) = R * (1/2^2 - 1/n^2): Lyman series?

The Attempt at a Solution


I have used this equation to figure out (lambda) but never the other way around.
I tried to solve for n but it doesn't make sense. How can I know which series to solve n for?
At first I thought that it had to be Lyman as Z=1 for hydrogen and subsequently n=1 but no.
The answer is ni = 6 and nf = 2.
 
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  • #2
use Rydberg eq.

r.JPG

RH=10973732 m^(-1)
 

FAQ: Value of n for the energy level transition that produce lamb

What is the "Value of n" for the energy level transition that produces lamb?

The "Value of n" represents the principal quantum number in the Bohr model of the atom. It determines the energy level of the electron in the atom and can have any positive integer value. In the case of the energy level transition that produces lamb, the value of n would depend on the specific energy level transition being observed.

How is the value of n determined for the energy level transition that produces lamb?

The value of n for a particular energy level transition is determined by the difference in energy between the initial and final energy levels. This is known as the energy difference or energy gap. The value of n will be the number that corresponds to the energy gap in the Rydberg formula, which relates the energy difference to the wavelength of light emitted or absorbed during the transition.

What is the significance of the value of n for the energy level transition that produces lamb?

The value of n is significant because it determines the energy of the emitted or absorbed light during the energy level transition. This energy is directly related to the wavelength of the light, which is what we observe as the color or frequency of the light. Therefore, the value of n is crucial in understanding and predicting the behavior of atoms and their interactions with light.

How does the value of n affect the production of lamb during the energy level transition?

The value of n does not directly affect the production of lamb during the energy level transition. However, it does determine the wavelength of the light emitted or absorbed, which can affect the color and intensity of the light. Additionally, the value of n can also impact the energy and stability of the atom, which can indirectly affect the production of lamb.

Are there any limitations to using the value of n for predicting lamb production during energy level transitions?

While the value of n is an essential factor in predicting lamb production during energy level transitions, it is not the only factor. Other factors such as the spin of the electron, magnetic fields, and external influences can also impact the energy levels and ultimately affect the production of lamb. Therefore, the value of n should be considered along with other factors when predicting lamb production during energy level transitions.

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