A photon interacts with a ground state electron in a hydrogen atom and is absorbed. The electron is ejected from the atom and exhibits a de Broglie wavelength of 5.908 X 10^-10m . Determine the frequency (in hz) of the interacting photon.

frequency(wavelength)=speed of light.

solve for frquency.

How do you input the data into the formula?

2.3E19

E = P^2/2Me + E(first ionization)

P= h / BroglieWavelength

E(first ionization)=21.7*10^-19

Me= 9.1*10^-31

h= 6.626*10^-34

frecuency(hz)= E / h

Thank you

To determine the frequency of the interacting photon, we need to use the de Broglie wavelength equation and the relationship between wavelength and frequency.

The de Broglie wavelength equation relates the wavelength (λ) of a particle to its momentum (p) through the equation: λ = h / p, where h is Planck's constant.

In this case, the electron exhibits a de Broglie wavelength (λ) of 5.908 x 10^-10 m. We can use this wavelength to find the momentum (p) of the electron.

λ = h / p

Rearranging the equation to solve for momentum (p):

p = h / λ

Now we can use the momentum of the electron to determine the energy of the photon that interacted with it. The energy of a photon (E) is given by the equation: E = hf, where f is the frequency of the photon.

The energy of the interacting photon is equal to the energy required to eject the electron from the atom.

E = p^2 / (2m), where m is the mass of the electron.

Since the photon was absorbed, its energy is equal to the energy required to eject the electron:

E = p^2 / (2m)

Now we can substitute the value of momentum (p) that we obtained previously:

E = (h / λ)^2 / (2m)

We know the de Broglie wavelength (λ) and we can look up the mass of an electron (m). Substituting these values, we can solve for the energy of the photon.

Once we have the energy of the photon, we can rearrange the equation for energy of a photon to solve for the frequency (f):

E = hf

Rearranging the equation to solve for frequency (f):

f = E / h

Now, substitute the energy of the photon that we calculated earlier to obtain the frequency (f) of the interacting photon.