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Light of frequency 8.41xx10^(14)Hz is in...

Light of frequency `8.41xx10^(14)Hz` is incident on a metal surface. Electrons with their maximum speed of `7.5xx10^(5)ms^(-1)` are ejected from the surface. Calculate the threshold frequency for photoemission of electrons. Also find the work function of the metal in electron volt `(eV)`. Given Plank's constant `h=6.625xx10^(-34)Js` and mass of the electron `9.1xx10^(-31)kg`.

Text Solution

Verified by Experts

`K_(max)=hv-omega_0`
`hv=hv_0+1/2 mv^2`
`hv_0=(6.625xx10^(-34)xx8.41xx10^14)-1/2xx9.1xx10^(-31)xx(7.5xx10^5)^2`
Calculation of threhold frequently `v_0=4.54xx10^14` Hz
Work function , `omega_0=hv_0`
Work function , `omega_0=(6.625xx10^(-34)xx4.54xx10^14)/(1.6xx10^(-19))`
Work function , `omega_0`=1.88 eV
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