1. We can think more about the potential energy of an electron in the hydrogen a
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Question
1. We can think more about the potential energy of an electron in the hydrogen atom by considering a negatively charged electron in the vicinity of a positively charged proton. If we define the potential energy of the electron as 0 when it is infinitely far from the proton, what is its potential energy when D = 0.075 nm (in eV)? (Make sure to consider the sign of your answer.) 2. If we halve the distance, what happens to the potential energy of the electron? (Choose all that apply. and explain your answer.) A) It becomes more negative B) It becomes less negative C) It becomes more positive D) It becomes more positive E) ?by a factor of 1/4 F) ?.a factor of 1/2 G)?by factor of 2. H) ?factor of 4. I) ?PE does not change.Explanation / Answer
potential energy is given by = k*q1*q2/r
a) at D = 0.075 nm = 75*10^{-12} m
P.E = 9*10^{9}*1.6*10^{-19}*(-1.6)*10^{-19} / ( 75*10^{-12} )
= 0.3072*10^{-17} J = 0.3072*10^{-17}*6.24*10^{18} eV = 19.16 eV
b) if distance is halved i.e., D = r/2 then
P.E = k*q1*q2/(r/2) = 2*k*q1*q2/r
hence if distance is halved the potential energy is increased by a factor of 2.
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