Statement (A) As one considers orbits with higher values of $n$ in hydrogen atom, the electric potential…

Statement (A) As one considers orbits with higher values of $n$ in hydrogen atom, the electric potential energy of the atom increases. Statement (B) In thomson's model, an atom is a spherical cloud of positive charges with electrons embedded in it. Statement (C) The orbital picture is Bohr's model of the hydrogen atom was consistent with the uncertainty principle.
  1. A, B and C are true
  2. A, B true, but $C$ false
  3. B, C true, but A false
  4. A, C true but B false

Solution

In hydrogen atom, potential energy of electron in $n$th orbit is given as $\mathrm{PE}=\frac{-K z e^2}{r}$ For higher value of $n, r$ increase because $r \propto n^2$. From eq (i), it is clear that for higher value of $n$, potential energy increases. Hence, statement (A) is correct. In thomson's model an atom is a spherical cloud of positive charges with electrons embedded in it. Hence, statement (B) is correct. According to Bohr's model an electron in an atom is located at a definite distance from the nucleus and is revolving with a definite velocity around it. According to heisenberg's uncertainty principle, it is impossible to determine the exact position and momentum of moving electron simultaneously. Therefore, Bohr's model of an atom is contradicted by heisenbergs uncertainty principle. The statement (C) is incorrect. Hence, option (b) is correct.

Asked in: AP EAMCET 2022 (06 Jul Shift 2)

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