When we change zero of potential energy , total energy changes So why does the energy required to - Physics - Electrostatic Potential And Capacitance

Question

When we change zero of potential energy , total energy changes So
why does the energy required to remove electron remains same I need
answer to only part c of this question as I am not getting solution
from any source

Anshu Agrawal · Accepted Answer

Dear student, (a) The distance between electron-proton of a hydrogen atom, image198 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image198 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Charge on an electron, q1 image199 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Charge on a proton, q2 image200 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

1 Potential at infinity is zero image201 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Potential energy of the system, p-e = Potential energy at infinity âˆ’ Potential energy at distance, d Where, image007 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image007 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

is the permittivity of free space image202 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image203 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image204 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Potential enerygy image205 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Since

image206 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image207 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Potential energy image208 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image209 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Therefore, the potential energy of the system is image210 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

b Kinetic energy is half of the magnitude of potential energy Kinetic energy image211 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image211 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Total energy = image212 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

= 13 6 eV Therefore, the minimum work required to free the electron is 13 6 eV c When zero of potential energy is taken, image213 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image213 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Potential energy of the system = image214 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image215 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image216 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image101 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image102 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

image103 NCERT Solutions class-12 physics Electrostatic Potentia and Capacitance Part-1

Regards

When we change zero of potential energy , total energy changes . So why does the energy required to remove electron remains same. I need answer to only part c of this question as I am not getting solution from any source