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QJEEAdv19Ch99d1: JEE Advanced 2019 Chemistry - Class 11 JEEAdv19Ch99d1 Solution: Consider the Bohr's model of a one-electron atom where the…

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.

JEE Advanced 2019 Paper 2 Offline Chemistry - Structure of Atom Question 7 English
Which of the following options has the correct combination considering List-I and List-II?

Multiple Choice Options

  • A (III), (P)
  • B (III), (S)
  • C (IV), (U)
  • D (IV), (Q)

Step-by-Step Verified Solution

(III) Kinetic energy of the electron in nth orbit,

K.E.=+13.6×Z2n2K.E. = + 13.6 \times {{{Z^2}} \over {{n^2}}} or K.E.∝1n2K.E. \propto {1 \over {{n^2}}} or K.E.∝n−2K.E. \propto {n^{ - 2}}

From List-II, correct match is (III, P)

(IV) Potential energy of the electron in the nth orbit,

P.E.=−2×13.6×Z2n2⇒P.E.∝1n2⇒P.E.∝n−2P.E. = - 2 \times 13.6 \times {{{Z^2}} \over {{n^2}}} \Rightarrow P.E. \propto {1 \over {{n^2}}} \Rightarrow P.E. \propto {n^{ - 2}}

From List-II, correct match is (IV, P).

Hence, correct matching from List-I and List-II on the basis of given options is (III, P).

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