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Light described at a place by the equ...

Light described at a place by the equation `E=(100 V/m) [sin(5xx10^15 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

Verified by Experts

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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