Photoelectric emission is observed from a surface for frequencies ν 1 and ν 2 ( ν 1 ν 2 ) of the incident radiation. If the maximum kinetic energies of the photoelectrons in the two cases ar

Question

Photoelectric emission is observed from a surface for frequencies ν 1 ​ and ν 2 ​ ( ν 1 ​ > ν 2 ​ ) of the incident radiation. If the maximum kinetic energies of the photoelectrons in the two cases are in the ratio K : 1, the threshold frequency ν 0 ​ is given by

TestHub · Accepted Answer

K . E . 1 ​ = h ( ν 1 ​ − ν 0 ​ ) and K . E . 2 ​ = h ( ν 2 ​ − ν 0 ​ ) , with K . E . 1 ​ : K . E . 2 ​ = K : 1 . ν 1 ​ − ν 0 ​ = K ( ν 2 ​ − ν 0 ​ ) , so ν 1 ​ − ν 0 ​ = K ν 2 ​ − K ν 0 ​ . ν 0 ​ ( K − 1 ) = K ν 2 ​ − ν 1 ​ , so ν 0 ​ = ( K ν 2 ​ − ν 1 ​ ) / ( K − 1 ) . Trap: option (B) is the result when the ratio is taken the other way round. Answer: (C).

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