Q16 / 54 · JEE Advanced 2019 (Paper 2) · Chemistry

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 .
 
List - I List - II
(I) Radius of the nth orbit P ∝n-2
(II) Angular momentum of the electron in the nth orbit Q ∝n-1
(III) Kinetic energy of the electron in the nth orbit R ∝n0
(IV) Potential energy of the electron in the nth orbit S ∝n1
  T ∝n2
  U ∝n1/2

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

  • A
    III, S
  • B
    IV, Q
  • C
    IV, U
  • Correct answer
    D
    III, P

Solution

According to Bohr’s atomic model:
Radius of orbit ∝n2
Angular Momentum ∝n
Kinetic energy ∝1n2
Potential energy ∝-1n2

Hence, the correct answer is option: 'D'.

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