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Match List I with List II for an electron in the n^ th orbit of a hydrogen atom. List I (Physical Quantity) List II (Proportionality) A. Orbital radius I. n^3 B. Kinetic energy II. n C. Time period of revolution III. n⁻² D. Angular momentum IV. n^2 Choose the correct answer from the options given below:

Options

  1. AA - IV, B - I, C - III, D - II
  2. BA - II, B - III, C - I, D - IV
  3. CA - IV, B - III, C - I, D - II
  4. DA - II, B - I, C - III, D - IV

Correct answer

C. A - IV, B - III, C - I, D - II

Step-by-step solution

According to Bohr's model of the hydrogen atom: A. Orbital radius r_n n^2 B. Kinetic energy K_n = 13.6 n^2 eV n⁻² C. Time period of revolution T_n = 2 r_n v_n . Since r_n n^2 and v_n n⁻¹ , T_n n^2 n⁻¹ = n^3 D. Angular momentum L_n = nh 2 n Therefore, the correct match is A - IV, B - III, C - I, D - II. Answer: A - IV, B - III, C - I, D - II

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