Photoelectric Effect

Chemistry Level 1

1 4 3 2

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1 solution

λ = 4 × 1 0 7 m , ν = c λ = 0.75 × 1 0 15 s 1 \lambda = 4\times10^{-7} m,\ \nu = \frac{c}{\lambda} = 0.75\times10^{15} s^{-1}

E p h o t o n = h ν = 5 × 1 0 19 J = 3.1 e V > 2.25 e V E_{photon} = h \nu = 5\times 10^{-19} J = 3.1\ eV > 2.25\ eV hence photon can kick out electron,

N p h o t o n s m 2 s = 1 0 9 J E p h o t o n = 1 0 9 5 e 19 = 2 × 1 0 9 m 2 s , \frac{N_{photons}}{m^2 s} = \frac{10^{-9} J}{Ephoton} = \frac{10^{-9}}{5e-19} = \frac{2\times10^9}{m^2 s},

3% of photons will kick out electrons, hence N e l e c t r o n s m 2 s = 0.03 2 × 1 0 9 m 2 s = 6 × 1 0 7 e l e c t r o n s m 2 s \frac{N_{electrons}}{m^2 s} = 0.03 * \frac{2\times 10^9}{m^2 s} = 6\times 10^7 \frac{electrons}{m^2 s}

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