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Light described at a place by te equa...

Light described at a place by te equation `E=(100 V/m) [sinxx(10^15 s ^(-1) t) +sin (8xx 10^15 s^(-1) t)]` falls on a metal surface having work function 2.0 eV. Calculate the maximum kinetic energy of the photoelectrons.

Text Solution

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The light contains two different frequencies.
The one with larger frequency w+N5ill cause photoelectrons
with largest kinetic energy . This larger frequency is
` ( v = (omega/2 pi) = (8 xx (10^15)(s^-1)/ 2 pi)).`
The maximum kinetic energy of the photoelectrons is
` K_max = hv - varphi`
` = (4.14 xx (10^-15)e Vs) xx ((8 xx (10^15)/ 2 pi)(s^-1))- (2.0 eV)`
` = 5.27 eV - 2.0e V = 3.27 e V. `
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