How Do You Calculate the Wavelength Needed to Eject an Electron from Sodium?

[Kahsi]

Hi.

How do I calculate this:

How long is the shortest light-wavelength that can breake loose a elektron from a natrium surface?

 

[clive]

Do you know what the photoelectric effect is?

http://theory.uwinnipeg.ca/physics/quant/node3.html

 

[Kahsi]

Thank you for the link, clive.
This is what I've got now:

$$eV_{0} = \frac{hc}{\lambda}-\phi$$
$$h = 6,6261 * 10^{-34}$$
$$c = 2,99792458*10^8$$
$$\phi =2,28eV$$

I need $$eV_0$$ to calculate $$\lambda$$. How do I get it?

And ofcourse I want the longest wavelength and not the shortest as I said before.

 

[Doc Al]

I need $$eV_0$$ to calculate $$\lambda$$. How do I get it?

$$eV_0$$ is the maximum KE of the ejected electron; to find the minimum energy photon (longest wavelength) needed to eject an electron, set $$eV_0$$ to 0.

 

[Kahsi]

Okay so we got

$$\frac{hc}{\lambda} = \phi$$
$$h = 6,6261*10^{-34}$$
$$c\approx 3*10^8$$
$$\phi = 2,28eV$$

This gives us

$$\lambda\approx 8,7*10^{-26}$$

Is this correct? Maybe i should turn eV to joule first?

Btw: Is the answer in meter? (I'm new to frequency)

 

[Doc Al]

use standard units

Maybe i should turn eV to joule first?

You'd better use consistent units throughout. Since h = 6.625 x 10-34 J-s, you'd better convert eV to Joules!

Btw: Is the answer in meter? (I'm new to frequency)

The standard unit for length is the meter, so that equation for $\lambda$ will give you meters.

 

[Kahsi]

Another question. If I'm lighting up a natriumsurface with a quicksilver-lamp electrons will "release". But which formulas should I use to calculate which energy the fastest electrons will get?

Thank you in advance.

 

[Doc Al]

But which formulas should I use to calculate which energy the fastest electrons will get?

See post #4 in this thread. You have the formula.
(Photon energy) - (energy needed to eject an electron) = maximum KE of ejected electron

This may help you: http://en.wikipedia.org/wiki/Photoelectric_effect#Explanation