Photons and Photon Energy - AP Physics 2

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Question

A physicist is trying to determine the identity of a metal by experimentally finding its work function and then comparing the experimental value to a list of known values. If the physicist shines light with a frequency of on the metal and records an electron speed of , what is the work function of the metal?

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Answer

To determine the work function of the metal, we can begin by calculating the kinetic energy of the electron from its speed.

Then, convert joules into electron volts:

Next, we'll calculate the energy of the light by using its frequency according to the equation:

Then, we can convert this energy into electron volts:

And finally, we can use the equation for work function:

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