Sunday, March 4, 2012

Radiation of a certain wavelength causes electrons with a maximum kinetic energy of 0.62 eV to be ejected from?

Radiation of a certain wavelength causes electrons with a maximum kinetic energy of 0.62 eV to be ejected from a metal whose work function is 2.80 eV. What will be the maximum kinetic energy (in eV) with which this same radiation ejects electrons from another metal whose work function is 2.01 eV?Radiation of a certain wavelength causes electrons with a maximum kinetic energy of 0.62 eV to be ejected from?
The max kinetic energy of the electron is the energy of the photon less the energy required to pop the electron out of the metal:

T = hf - phi



So if you have the same radiation on two different metals:

hf = T1 + ph1 = T2 + phi2



So the kinetic energy of the second is:

T2 = T1 + phi1 - phi2



In other words, if the work function goes down, the max kinetic energy goes up by the same amount.

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