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KVPY2018PhysicsDual Nature of Matter

Using the Heisenberg uncertainty principle, arrange the following particles in the order of increasing lowest energy possible. (I) An electron in H 2 molecule (II) A hydrogen atom in a H 2 , molecule (III) A proton in the carbon nucleus (IV) A H 2 molecule within a nanotube

Options

  1. AI < III < II < IV
  2. BIV < II < I < III
  3. CII < IV < III < I
  4. DIV < I < II < III

Correct answer

B. IV < II < I < III

Step-by-step solution

H 2 molecule in a nanotube is bound only by adhesive forces. So, its energy is least. A hydrogen atom in a H 2 molecule is bound by interatomic forces. So, its energy is less than the energy of an electron in H 2 molecule. Proton in a carbon nucleus is bound because of strong nuclear forces. So, its energy is largest. ∴ Correct order is IV < II < I < III

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