1.

Photoelectric emission is observed from a metal surface with incident frequencies v_(1) and v_(2) where v_(1) gt v_(2). If the kinetic energies of the photoelectrons emitted in the two cases are in the ratio 2 : 1, then the threshold frequency v_(0) of the metal is

Answer»

`v_(1) = v_(2)`
`(v_(1) - v_(2))/(H)`
`2 v_(1) - v_(2)`
`2v_(2) - v_(1)`

Solution :`hv_(1) = hv_(0) + E` (K.E)..(i)
`hv_(2) = hv_(0) + (1)/(2) E or 2 hv_(2) = 2 hv_(0) + E`...(ii)
EQN. (i) - Eqn (ii) gives `hv_(1) - 2hv_(2) = hv_(0) - 2 hv_(0)`
or `v_(1) - 2 v_(2) = - v_(0) or v_(0) = 2 v_(2) - v_(1)`


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