Match the LIST-I with LIST-II
$$\begin{array}{|l|l|l|l|}\hline & \text{List - I} & & \text{List - II} \\ \hline \text{A.} & \text{Planck's constant} & \text{I.} & \text{ML}^2\text{T}^{-2} \\ \hline \text{B.} & \text{Stopping potential} & \text{II.} & \text{T}^{-1} \\ \hline \text{C.} & \text{Work function} & \text{III.} & \text{ML}^2\text{T}^{-1} \\ \hline \text{D.} & \text{Threshold frequency} & \text{IV.} & \text{ML}^2\text{T}^{-3}\text{A}^{-1} \\ \hline \end{array}$$
Choose the correct answer from the options given below:
Answer: (A) A-III, B-IV, C-I, D-II
Concept. All four quantities come from the photoelectric equation $h\nu=\phi+eV_0$: each term is an energy.
Step 1. Planck's constant. $[h]=\dfrac{[E]}{[\nu]}=\dfrac{ML^2T^{-2}}{T^{-1}}=ML^2T^{-1}$ (III).
Step 2. Stopping potential. A potential is energy per charge: $[V_0]=\dfrac{ML^2T^{-2}}{AT}=ML^2T^{-3}A^{-1}$ (IV).
Step 3. Work function. An energy: $ML^2T^{-2}$ (I).
Step 4. Threshold frequency. A frequency: $T^{-1}$ (II).
Answer. A-III, B-IV, C-I, D-II (Option A).
Solution by Sreeraj P, M.Sc Physics
