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Work Function

When the ener...

Question

When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface is increased from 0.5 eV to 0.8 eV. The work function of the metal is

A

0.65 eV

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B

1.0 eV

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C

1.3 eV

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D

1.5 eV

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Solution

The correct option is B 1.0 eV
$E = h v - ϕ \Rightarrow 0.5 = h v - ϕ \dots (1) A g a i n 0.8 = 1.2 h v - ϕ \dots (2) F r o m e q u a t i o n (1) \times 1.2 \Rightarrow 0.6 = 1.2 h v - 1.2 ϕ E q u a t i o n (2) 0.8 = 1.2 h v - ϕ - - + - ------------- - - 0.2 = - 0.2 ϕ ϕ = 1 e V$

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