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Structure of Atom question

2022 · 27 Jul · Shift 1 · Q3
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Structure of Atom question

2022 · 27 Jul · Shift 1 · Q3

JEE MainChemistryStructure of AtomMCQ+4 / −1
Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Energy of 2s2 \mathrm{s}2s orbital of hydrogen atom is greater than that of 2s2 \mathrm{s}2s orbital of lithium. Reason R: Energies of the orbitals in the same subshell decrease with increase in the atomic number. In the light of the above statements, choose the correct answer from the options given below.
  1. A
    Both A and R are true and R is the correct explanation of A.
  2. B
    Both A and R are true but R is NOT the correct explanation of A.
  3. C
    A is true but R is false.
  4. D
    A is false but R is true.
View written solutionFree

Correct answer: A

  1. Evaluate Assertion A

    Assertion A says:

    Energy of 2s2s2s orbital of hydrogen atom is greater than that of 2s2s2s orbital of lithium.

    For hydrogen-like understanding, orbital energies become more negative as nuclear charge increases.

    • In hydrogen, the 2s2s2s electron feels nuclear charge of only +1+1+1.
    • In lithium, the 2s2s2s electron is attracted by a higher nuclear charge, so its energy is lowered (made more negative), even after shielding.

    Hence, E2s(Li)<E2s(H)E_{2s}(\text{Li}) < E_{2s}(\text{H})E2s​(Li)<E2s​(H) so the energy of 2s2s2s orbital in hydrogen is indeed greater than that in lithium.

    Therefore, Assertion A is true.

  2. Evaluate Reason R

    Reason R says:

    Energies of the orbitals in the same subshell decrease with increase in the atomic number.

    This is generally true: for a given type of orbital such as 2s2s2s, increasing atomic number increases effective nuclear attraction, so orbital energy decreases (becomes more negative).

    Thus, Reason R is true.

  3. Check whether R explains A

    Assertion A compares the 2s2s2s orbital energies of hydrogen and lithium.

    Since lithium has higher atomic number than hydrogen, by the statement in R, the energy of the 2s2s2s orbital should decrease as atomic number increases. Therefore, E2s(Li)<E2s(H)E_{2s}(\text{Li}) < E_{2s}(\text{H})E2s​(Li)<E2s​(H) which directly explains Assertion A.

    So R is the correct explanation of A.

  4. Final choice

    Therefore, the correct option is: A\boxed{\text{A}}A​

  5. Comparison with stored answer

    Stored correct answer = A.

    My derived answer also = A, so they agree.

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