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Determine the energies in eV of the second and third energy levels of the hydrog

ID: 1391111 • Letter: D

Question

Determine the energies in eV of the second and third energy levels of the hydrogen atom.

(a) second energy level
eV

(b) third energy level
eV

Hydrogen's single electron can occupy any of the atom's distinct quantum states. Determine the number of distinct quantum states in the following energy levels.

(a)    

n = 1



(b)    

n = 2


(c)

n = 3

A hydrogen atom is in its third excited state (n = 4). Using the Bohr theory of the atom, calculate the following.

(a) the radius of the orbit
nm

(b) the linear momentum of the electron
kg m/s

(c) the angular momentum of the electron
J s

(d) the kinetic energy
eV

(e) the potential energy
eV

(f) the total energy
eV

Explanation / Answer

(2)number of quantam states= 2 n2.

(a) for n= 1, number of quantam states= 2 n2= 2 (1)2=2

(b)for n= 2, number of quantam states= 2 n2= 2 (2)2=8

(c)for n= 3, number of quantam states= 2 n2= 2 (3)2=18

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