If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å and (ii) R = 10 Å .
If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å and (ii) R = 10 Å .
-
1 Answer
-
This is a Long Answer Type Questions as classified in NCERT Exemplar
Explanation- in this type of situation centripetal force is balanced by electrostatic force
So mv2/r= -ke2/r2
According to bohr postuates
Mvr = h when n=1
On solving n
So after solving r= 0.51A0
So potential energy = -27.2eV , KE= mv2/2
=
But if R
If R>>r the electron moves inside the sphere with radius r’
Charge inside r’4=e
So r’ =
So r’4= 0.51A0R3
= 510(A0)4
Similar Questions for you
Change in surface energy = work done
|DE0| = –10.2

]
= 3 m/s
n = 4
Number of transitions =
Kinetic energy: Potential energy = 1 : –2
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers