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NEET CHEMISTRYStructure of AtomMedium

Question

Given below are two statements: Statement I: The energy of the He⁺ ion in n=2 state is same as the energy of H atom in n=1 state. Statement II: It is possible to determine simultaneously the exact position and exact momentum of an electron in H atom.

In light of the above statements, choose the correct answer from the options given below:

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true and Statement II is false

D

Statement I is false, and Statement II is true

Step-by-Step Solution

  1. Analyze Statement I: According to Bohr's theory, the energy of an electron in the n-th orbit of a hydrogen-like species is given by EnZ2n2E_n \propto \frac{Z^2}{n^2}. For Hydrogen atom (H): Z=1Z=1, n=1n=1. Thus, E1(H)1212=1E_1(H) \propto \frac{1^2}{1^2} = 1. For Helium ion (He+He^+): Z=2Z=2, n=2n=2. Thus, E2(He+)2222=1E_2(He^+) \propto \frac{2^2}{2^2} = 1.
  • Since the ratios are identical, the energies are the same (E=2.18×1018 JE = -2.18 \times 10^{-18} \text{ J}). Therefore, Statement I is True .
  1. Analyze Statement II: According to Heisenberg's Uncertainty Principle, it is impossible to determine simultaneously the exact position and exact momentum (or velocity) of a microscopic particle like an electron . Therefore, Statement II is False.

Conclusion: Statement I is true and Statement II is false.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Structure of Atom. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYStructure of Atomstatementsstatementenergyenergystatement

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