How Does Moving an Electron Affect Proton-Electron System Energy?

[sharma_satdev]

Suppose an electron initially present at distance r from the proton is moved away to infinity,the energy of the system is taken to be zero.If it is so where does the energy pumped into shift away the electron goes and thus the law of conservation of energy is violated

 

[mfb]

Suppose an electron initially present at distance r from the proton is moved away to infinity

You need energy to do this.

the energy of the system is taken to be zero

Ok, this is an arbitrary definition of the energy. Fine.

If it is so where does the energy pumped into shift away the electron goes

It is now potential energy. You can even calculate it, if you integrate over the energy stored in the electric fields around the charges and compare this to the field configuration with the electron at distance r.

and thus the law of conservation of energy is violated

No. You increase the energy of the electric fields.