Q 57

​Q57. The surface of metal with work function  ϕ  is illuminated by electromagnetic radiation whose electric field component is E = a (1 + cos ω t) cos​ ω t. Then maximum kinetic energy of photoelectron liberated from surface is (here ​ ω  > ​ ω 0)

   (a)  h 2 π ω – ​ ϕ                                           (b) ​ 0 2 π - ϕ


   (c) ​ h ω +   ω 0 2 π - ϕ                                   (d) ​​ ​ h ω -   ω 0 2 π - ϕ
 

Dear Student,

Work function of the metal is ϕ

The electric field component is
E=a(1+cosωt)cos ωot=a(cos ωot+cosωtcos ωot)=a(cos ωot+12cosω+ ωot)So, frequencyν=ω+ωo2πK.E,= hν-ϕ=hω+ωo2π-ϕ

So correct option is c

Regards

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