A wave created by a certain source travels from medium 1 into another medium 2. It is noticed that its velocity is faster in med
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1) First of all, let's calculate the potential difference between the initial point (infinite) and the final point (d=0.529x10-10 m) of the electron.
This is given by:
Where E is the electric field generated by the proton, which is
where
is the Coulomb constant and 
is the proton charge.
Replacing the electric field formula inside the integral, we obtain
2) Then, we can calculate the work done by the electric field to move the electron (charge
) through this 
. The work is given by
This is given by:
Where E is the electric field generated by the proton, which is
where
Replacing the electric field formula inside the integral, we obtain
2) Then, we can calculate the work done by the electric field to move the electron (charge