Concept explainers
Radius and energy of the first Bohr orbit.
Answer to Problem 63P
Solution:
Radius of the first Bohr orbit will be and the radius of the first Bohr orbit will be .
Explanation of Solution
Given:
Electron was bound to a proton by the gravitational force rather than by the electric force.
Formula Used:
1.
2.
Where, is the mass of the electron.
is the mass of the proton.
G is Gravitational constant
r is the radius of the Bohr orbit
v is the speed of the electron.
h is Plank’s Constant
Calculation:
By using the formula , we can get the speed of the electron.
On substituting the value of v in formula 2 , we get
N=1 for hydrogen atom
So,
Now for the energy of the first Bohr orbit
Chapter 27 Solutions
Physics: Principles with Applications
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