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Question Number 61993 by necx1 last updated on 13/Jun/19

ultraviolet light of wavelength 300×10^(−9) m  causes photon emissions from a surface  The stopping potential is 6V.Find the  work-function in electron-Volts

$${ultraviolet}\:{light}\:{of}\:{wavelength}\:\mathrm{300}×\mathrm{10}^{−\mathrm{9}} {m} \\ $$$${causes}\:{photon}\:{emissions}\:{from}\:{a}\:{surface} \\ $$$${The}\:{stopping}\:{potential}\:{is}\:\mathrm{6}{V}.{Find}\:{the} \\ $$$${work}-{function}\:{in}\:{electron}-{Volts} \\ $$

Answered by ajfour last updated on 13/Jun/19

hν=φ+eV_0   φ=((hc)/λ)−eV_0      = (((6.626×10^(−34) ×3×10^8 )/(1.6×10^(−19) ×300×10^(−9) ))−6)eV     = 4.14−6 <0  (Wrong data!).

$${h}\nu=\phi+{eV}_{\mathrm{0}} \\ $$$$\phi=\frac{{hc}}{\lambda}−{eV}_{\mathrm{0}} \\ $$$$\:\:\:=\:\left(\frac{\mathrm{6}.\mathrm{626}×\mathrm{10}^{−\mathrm{34}} ×\mathrm{3}×\mathrm{10}^{\mathrm{8}} }{\mathrm{1}.\mathrm{6}×\mathrm{10}^{−\mathrm{19}} ×\mathrm{300}×\mathrm{10}^{−\mathrm{9}} }−\mathrm{6}\right){eV} \\ $$$$\:\:\:=\:\mathrm{4}.\mathrm{14}−\mathrm{6}\:<\mathrm{0} \\ $$$$\left({Wrong}\:{data}!\right). \\ $$

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