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Chemistry Forums for Students => Undergraduate General Chemistry Forum => Topic started by: eq123 on May 12, 2010, 10:12:25 AM

Title: maximum velocity of electrons?
Post by: eq123 on May 12, 2010, 10:12:25 AM
i've been trying to figure out this problem..

The longest wavelength of light that causes electrons to be ejected from the surface of a copper plate is 243 nm. What is the maximum velocity of the electrons ejected when light of wavelength 200. nm shines on a copper plate?

the answer is 6.22 × 10^5 m/s

any ideas?
Title: Re: maximum velocity of electrons?
Post by: Borek on May 12, 2010, 12:08:21 PM
You have asked the same question at physicalforums and you were already given several hints - have you tried to use them?
Title: Re: maximum velocity of electrons?
Post by: MrTeo on May 12, 2010, 02:37:22 PM
You have asked the same question at physicalforums and you were already given several hints - have you tried to use them?

Spotted!  ;D
Title: Re: maximum velocity of electrons?
Post by: eq123 on June 09, 2010, 09:13:37 AM
thank you for nothing!
Title: Re: maximum velocity of electrons?
Post by: sjb on June 09, 2010, 12:59:52 PM
What equations do you know that may be relevant (perhaps look for Photoelectric effect, or similar)
Title: Re: maximum velocity of electrons?
Post by: Prof. Bohr on June 13, 2010, 05:47:32 PM
you could work that out using De Broglie's postulate - All matter has an associated wavelength, and the wavelength is inversely proportional to the mass x velocity.
in brief, Lambda = (Planks const)/(mass x veloc.)

Wiki it.
Title: Re: maximum velocity of electrons?
Post by: opti384 on June 15, 2010, 08:36:45 AM
 I think this problem is related to the photoelectric effect.

"The longest wavelength of light that causes electrons to be ejected from the surface of a copper plate is 243 nm. What is the maximum velocity of the electrons ejected when light of wavelength 200. nm shines on a copper plate?"

Here the wavelength of 243nm indicates the minimum frequency of light required for the electrons to be emitted from copper plate. frequency = the speed of light/wavelength. Energy = Plank constant x frequency

Therefore, the maximum KE = the energy of the 200nm wave - work function(which equals to the energy of 243 nm wave).

From the maximum KE, you can determine the velocity.