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Question
Which of the following parameters are the same for all hydrogen-like atoms and ions in their ground states?
Options
Radius of the orbit
Speed of the electron
Energy of the atom
Orbital angular momentum of the electron
Solution
Orbital angular momentum of the electron
According to Bohr's atomic theory, the orbital angular momentum of an electron in a one-electron system is given by
`L_n = (nh)/(2pi)`
Here ,
n = Principal quantum number
The angular momentum is independent of the atomic number of the one-electron system. Therefore, it is same for all hydrogen-like atoms and ions in their ground states.
The other parameters given here are dependent on the atomic number of the hydrogen-like atom or ion taken.
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