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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
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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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