Consider the Bohr's model of a one-electron atom where the electron moves around...
Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n .
Which of the following options has the correct combination considering List-I and List-II?
List - I | List - II |
---|---|
(I) Radius of the nth orbit | (P) ∝n-2 |
(II) Angular momentum of the electron in the nth orbit | (Q) ∝n-1 |
(III) Kinetic energy of the electron in the nth orbit | (R) ∝n0 |
(IV) Potential energy of the electron in the nth orbit | (S) ∝n1 |
(T) ∝n2 | |
(U) ∝n1/2 |
Which of the following options has the correct combination considering List-I and List-II?
Solution:
According to Bohr’s atomic model:
Radius of orbit ∝n2
Angular Momentum ∝n
Kinetic energy ∝1n2
Potential energy ∝-1n2
Radius of orbit ∝n2
Angular Momentum ∝n
Kinetic energy ∝1n2
Potential energy ∝-1n2
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