JEE Advanced · 2024 · 26 May 2024 · Paper 1 · Atomic Structure

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

(A)Uncertainty principle rules out the existence of definite paths for electrons.✓ Correct
(B)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.✓ Correct
(C)According to Bohr's model, the most negative energy value for an electron is given by $n = 1$ , which corresponds to the most stable orbit.✓ Correct
(D)According to Bohr's model, the magnitude of velocity of electrons increases with increase in values of n.

Answer: (A), (B), (C)

Solution

(A) The uncertainty principle states that we cannot simultaneously know the exact position and momentum of an electron, ruling out definite paths. (B) An electron in a bound orbital (like 2s) has negative energy relative to the reference state (electron at infinity with zero energy). (C) From Bohr's formula

E_{n} = - 13.6 \times \frac{Z ^{2}}{n ^{2}}

eV/atom, the most negative (lowest) energy occurs at n=1, the most stable state. (D) is incorrect: velocity

v_{n} = 2.19 \times 1 0^{6} \times \frac{Z}{n}

m/s decreases with increasing n.

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JEE Advanced · 2024 · 26 May 2024 · Paper 1 · Atomic Structure

Solution

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