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Chemical Bonding and Molecular Structure question

2020 · 2 Sep · Shift 2 · Q12
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Chemical Bonding and Molecular Structure question

2020 · 2 Sep · Shift 2 · Q12

JEE MainChemistryChemical Bonding and Molecular StructureMCQ+4 / −1
Match the type of interaction in column A with the distance dependence of their interaction energy in column B
A B
(i) ion-ion (a) 1r{1 \over r}r1​
(ii) dipole-dipole (b) 1r2{1 \over {{r^2}}}r21​
(iii) London dispersion (c) 1r3{1 \over {{r^3}}}r31​
(d) 1r6{1 \over {{r^6}}}r61​
  1. A
    (I)-(a), (II)-(b), (III)-(d)
  2. B
    (I)-(b), (II)-(d), (III)-(c)
  3. C
    (I)-(a), (II)-(b), (III)-(c)
  4. D
    (I)-(a), (II)-(c), (III)-(d)
View written solutionFree

Correct answer: D

  1. Identify the distance dependence for each interaction

    We match each interaction with how its interaction energy varies with intermolecular/interionic distance rrr.

  2. Ion-ion interaction

    For two ions with charges q1q_1q1​ and q2q_2q2​, Coulombic potential energy is U=q1q24πε0rU = \frac{q_1 q_2}{4\pi \varepsilon_0 r}U=4πε0​rq1​q2​​ Hence, U∝1rU \propto \frac{1}{r}U∝r1​ So, (i)  ion-ion→(a)  1r(i)\; \text{ion-ion} \to (a)\; \frac{1}{r}(i)ion-ion→(a)r1​

  3. Dipole-dipole interaction

    The interaction energy between two permanent dipoles depends on orientation, and in the usual matching for chemical bonding/intermolecular forces, it varies as U∝1r3U \propto \frac{1}{r^3}U∝r31​ So, (ii)  dipole-dipole→(c)  1r3(ii)\; \text{dipole-dipole} \to (c)\; \frac{1}{r^3}(ii)dipole-dipole→(c)r31​

  4. London dispersion interaction

    London dispersion forces arise from instantaneous induced dipoles, and their interaction energy varies as U∝1r6U \propto \frac{1}{r^6}U∝r61​ So, (iii)  London dispersion→(d)  1r6(iii)\; \text{London dispersion} \to (d)\; \frac{1}{r^6}(iii)London dispersion→(d)r61​

  5. Final matching

    Therefore the correct matching is: (i)−(a),  (ii)−(c),  (iii)−(d)(i)-(a),\; (ii)-(c),\; (iii)-(d)(i)−(a),(ii)−(c),(iii)−(d)

  6. Compare with options

    This corresponds to Option D.

  7. Comparison with stored answer

    Stored correct answer = D.

    Our derived answer also = D. Hence, they agree.

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