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Question

Using Bohr’s theory in a one-electron atom. Choose the correct option(s). (n principal quantum number, z is number of protons in the nucleus).



A

Total energy of electron increases with n.

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B

Total energy and potential energy of electrons is negative in all orbits.

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C

Magnitude of angular momentum of electron increases with n.

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D

Linear momentum of electron decreases with z for same n.

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Solution

The correct options are
A

Total energy of electron increases with n.


B

Total energy and potential energy of electrons is negative in all orbits.


C

Magnitude of angular momentum of electron increases with n.


D

Linear momentum of electron decreases with z for same n.


T=13.6z2n2 T=Total energy
U=2T U =Potential energy
K=-T L=Kinetic energy
As n increase T increases, T and U is negative for all n
L=mvr=nh2π
As n increases L increases.
As n increase K decreases hence momentum decreases.


Physics

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