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JEE Advanced 2019Paper 2
Exam
JEE Advanced
Year
2019
Paper
Paper 2
Subject
Chemistry
Chapter
Structure of Atom

JEE Advanced 2019 · Paper 2 · Chemistry · Structure of Atom

Consider the Bohr's model of a one-electron atom where the electron...

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{n}^{th} orbit of the atom and List-II contains options showing how they depend on nn .
List - I List - II
(I) Radius of the nth{n}^{th} orbit \left(P\right) ∝ {n}^{- 2}</td></tr><tr><td>(II)Angularmomentumoftheelectroninthe</td> </tr> <tr> <td>(II) Angular momentum of the electron in the{n}^{th}orbit</td><td>(Q)∝n−1orbit</td> <td>\left(Q\right) ∝ {n}^{- 1}
(III) Kinetic energy of the electron in the nth{n}^{th} orbit \left(R\right) ∝ {n}^{0}</td></tr><tr><td>(IV)Potentialenergyoftheelectroninthe</td> </tr> <tr> <td>(IV) Potential energy of the electron in the{n}^{th}orbit</td><td>(S)∝n1orbit</td> <td>\left(S\right) ∝ {n}^{1}
\left(T\right) ∝ {n}^{2}</td></tr><tr><td></td><td>(U)∝n1/2</td> </tr> <tr> <td> </td> <td>\left(U\right) ∝ {n}^{1 / 2}

Which of the following options has the correct combination considering List-I and List-II?

Options

  1. A(II),(R)\left(II\right), \left(R\right)
  2. B(I),(P)\left(I\right), \left(P\right)
  3. C(I),(T)\left(I\right), \left(T\right)
  4. D(II),(Q)\left(II\right), \left(Q\right)

Correct answer

C. (I),(T)\left(I\right), \left(T\right)

Step-by-step solution

According to Bohr’s atomic model:
Radius of orbit ∝n2∝ {n}^{2}
Angular Momentum ∝n∝ n
Kinetic energy ∝1n2∝ \dfrac{1}{{n}^{2}}
Potential energy ∝−1n2∝ - \dfrac{1}{{n}^{2}}
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