NEET-XII-Physics
43: Bohr's Model and Physics of the Atom
- #12Which of the following parameters are the same for all hydrogen-like atoms and ions in their ground states?
(a) Radius of the orbit
(b) Speed of the electron
(c) Energy of the atom
(d) Orbital angular momentum of the electrondigAnsr: dAns : (d) 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}_{\,\mathrm{\,n\,}}=\frac{nh}{2\,\mathrm{\,\pi \,}}``
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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