What is the work function of the photoelectric material?

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SUMMARY

The work function of the photoelectric material is calculated to be 2.36 eV based on the given momentum of the photons (p = 7.88 x 10-18 ev ⋅ s/nm) and the cutoff voltage (Vstop = 1.75 V). The calculation utilizes the equation E0 = (c ⋅ p) - (Vstop ⋅ e), where the speed of light is converted to nm/s to match the momentum units. The final value represents the energy required to release an electron from the material.

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ikihi
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Homework Statement



Photons with momentum p= 7.88 x 10-18 strike a photoelectric material which is in the configuration shown in the figure. The cutoff voltage is measured to be Vstop= 1.75 V. What is the work function of the photoelectric material?

Homework Equations



p = Ephoton / c
E0 = (c ⋅ p) - (Vstop ⋅ e)

The Attempt at a Solution



E0 = (3.00 x 108 m/s)(7.88 x 10-18 (ev ⋅ s)/nm) - (1.75 V ⋅ 1.602 x 10-19 J) = 2.36 eV
 

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you should convert the speed of light to nm/s to match the momentum unit (ev.s/nm)
 
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patric44 said:
you should convert the speed of light to nm/s to match the momentum unit (ev.s/nm)

Thanks for catching that error. The new answer I got is 2.36 eV
 
ikihi said:
Thanks for catching that error. The new answer I got is 2.36 eV
you are welcome.

thats still the energy of the photon
subtract that from the ke
 

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