Among the following, the correct statement(s) for electrons in an atom is(are)

Among the following, the correct statement(s) for electrons in an atom is(are)
  1. Uncertainty principle rules out the existence of definite paths for electrons.
  2. The energy of an electron in $2 s$ orbital of an atom is lower than the energy of an electron that is infinitely far away from the nucleus.
  3. According to Bohr's model, the most negative energy value for an electron is given by $\mathrm{n}=1$, which corresponds to the most stable orbit.
  4. According to Bohr's model, the magnitude of velocity of electrons increases with increase in values of $n$.

Solution

(1) Uncertainity principle talks about probability of finding electrons in different regions around the nucleus rather than definite paths. (2) With increase in distance of electron from the nucleus, its energy increases. (3) Energy of electron $E_n=-13.6 \times \frac{\mathrm{Z}^2}{\mathrm{n}^2} \mathrm{eV} /$ atom. (4) Velocity of electron $V_n=2.19 \times 10^6 \times \frac{Z}{n} \mathrm{~m} / \mathrm{sec}$.

Asked in: JEE Advanced 2024 (Paper 1)

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