The work function of tungsten is 4.50 eV - Leaving Cert Physics - Question (h) - 2014
Question (h)
The work function of tungsten is 4.50 eV. Calculate the maximum kinetic energy of an electron ejected from a tungsten surface when electromagnetic radiation whose ph... show full transcript
Worked Solution & Example Answer:The work function of tungsten is 4.50 eV - Leaving Cert Physics - Question (h) - 2014
Step 1
Calculate the Energy of Incident Photon
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Answer
The energy of the incident photon can be expressed as the sum of the work function and the kinetic energy (KE) of the ejected electron. The formula used is:
Ephoton=Workfunction+KEelectron
Given:
Photon energy (Ephoton) = 5.85 eV
Work function (extWorkfunction) = 4.50 eV
Now, substituting the known values, we have:
5.85eV=4.50eV+KEelectron
Step 2
Rearrange to Find the Kinetic Energy
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Answer
Rearranging the equation to solve for the kinetic energy:
KEelectron=Ephoton−Workfunction
Substituting the values:
KEelectron=5.85eV−4.50eVKEelectron=1.35eV
Step 3
Convert Kinetic Energy to Joules (if required)
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To convert the kinetic energy from electronvolts to joules, we use the conversion factor:
1eV=1.6imes10−19J
Thus, the kinetic energy in joules is:
KEelectron=1.35eV×1.6imes10−19J/eV=2.16×10−19J
Step 4
Final Result
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Answer
The maximum kinetic energy of the electron ejected from the tungsten surface is therefore:
1.35 eV (or 2.16 x 10^-19 J) after conversion.
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