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For a Certain Metal, Light of Frequency 7.24×1014 Hz7.24 \times 10 ^ { - 14 } \mathrm {~Hz}

Question 98

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For a certain metal, light of frequency 7.24×1014 Hz7.24 \times 10 ^ { - 14 } \mathrm {~Hz} is just barely able to dislodge photoelectrons from the metal. (h=6.626×1034 Js,1eV=1.60×1019 J,e=1.60×\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} , e = 1.60 \times \right. 1019C10 ^ { - 19 } \mathrm { C } )
(a) What will be the stopping potential if light of frequency 8.75×1014 Hz8.75 \times 10 ^ { - 14 } \mathrm {~Hz} is shone on the metal?
(b) What is the work function (in electron-volts) of this metal?

Correct Answer:

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(a) 0.625 ...

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