Question #43955

Calculate the velocity of electron ejected from a platinum surface when radiation of 200 nw falls on it . The work function of platinum is 5ev. (1ev = 1.6*10-19)
1

Expert's answer

2014-07-11T08:56:08-0400

Answer on Question #43955, Physics, Atomic Physics

Calculate the velocity of electron ejected from a platinum surface when radiation of λ=200\lambda=200 nw falls on it . The work function of platinum is A=5A=5 eV = 810198\cdot 10^{-19} J(1ev = 1.6*10-19 J).

Solution

Velocity can be found from energy conservation law

hc/λ=A+mv2/2hc/\lambda=A+mv^{2}/2

v=2(hc/λA)/m=2(6.310343108/(200109)81019)/(9.11031)v=\sqrt{2(hc/\lambda-A)/m}=\sqrt{2(6.3\cdot 10^{-34}\cdot 3\cdot 10^{8}/(200\cdot 10^{-9})-8\cdot 10^{-19})/(9.1\cdot 10^{-31})}

0.4106m/s\approx 0.4\cdot 10^{6}\,m/s

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