Match the LIST-I with LIST-II
| LIST-I | LIST-II | ||
| (Physical quantity) | (Units) | ||
| A. | Work function | I. | (metre)−1 |
| B. | Planck's Constant | II. | Joule (J) |
| C. | Boltzmann Constant | III. | Joule-second (Js) |
| D. | Rydberg constant | IV. | Joule-Kelvin−1 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A - II, B - III, C - IV, D - I
Each unit follows from the defining equation of the quantity.
(A) Work function — this matches (II) Joule (J). It is an energy, the minimum needed to free an electron from the surface.
(B) Planck’s Constant — this matches (III) Joule-second (Js). From E = hν, h = E/ν has the unit J/s−1 = J s.
(C) Boltzmann Constant — this matches (IV) Joule-Kelvin−1. It links energy with temperature (mean kinetic energy of a molecule \( = \frac{3}{2}kT \)), so its unit is J K−1.
(D) Rydberg constant — this matches (I) (metre)−1. It appears in \( \frac{1}{\lambda} = R\left(\frac{1}{n_1^{2}} - \frac{1}{n_2^{2}}\right) \), so it has the unit of \( 1/\lambda \), that is m−1.