Question icon
Grade Select GradeModern Physics

if potential energy of an electron in a hydrogen atom in first excited state is taken to be zero ,Kinetic energy(in eV) of an electron in ground state will be?

Profile image of Kunal Goel
11 Years agoGrade Select Grade
Answers icon

4 Answers

Profile image of Abhishek Kumar
11 Years ago
TE in first excited state = -13.6/4 = -3.4 eV
PE in the first excited state = -6.8 eV (-PE = 2 X -TE)
For this to be zero, We must add 6.8 eV. So, add this 6.8 eV to all energy values to get the new values because shifting of zero or reference simply shifts all energy by the same value.
KE in ground state = 13.6 eV
So, in new system = 13.6 + 6.8 = 20.4 eV
Profile image of Arshdeep Singh
9 Years ago
The Kinetic Energy is independent of the position of frame of reference i.e. where the potention energy will be zero. So whether we take p.e. zero at infinity or at ground state the value of kinetic energy of a election moving in a particular orbit will remain constant to move in the same orbit. Thus the kinetic energy will remain equal to 13.6 eV in the ground state.
Profile image of Ritu Bisht
9 Years ago
If zero of potential energy is changed, KE does not change and continues to be + 13.6 eV.KE is independent of frame of reference of potential energy
 
Profile image of ankit singh
5 Years ago

For an electron:
U=2KE
E=U+KE=2U
Energy in first excited state, n=2
E(n=1)=13.6 eV
U(n=1)=2E=27.2 eV
E(n=2)=n213.6=3.4 eV
If U(n=1) is taken as the reference value
E(n=2)=E(n=2)U(n=1)=23.8 eV