Match List - I with List - II:
$$\begin{array}{|l|l|l|l|}\hline & \text{List I} & & \text{List II} \\ \hline \text{(a)} & h \text{ (Planck's constant)} & \text{(i)} & [\text{MLT}^{-1}] \\ \hline \text{(b)} & E \text{ (kinetic energy)} & \text{(ii)} & [\text{ML}^2\text{T}^{-1}] \\ \hline \text{(c)} & V \text{ (electric potential)} & \text{(iii)} & [\text{ML}^2\text{T}^{-2}] \\ \hline \text{(d)} & P \text{ (linear momentum)} & \text{(iv)} & [\text{ML}^2\text{I}^{-1}\text{T}^{-3}] \\ \hline \end{array}$$
Choose the correct answer from the options given below:
Answer: (A) (a)→(ii), (b)→(iii), (c)→(iv), (d)→(i)
$h = E/\nu$: $[\text{ML}^2\text{T}^{-2}][\text{T}] = [\text{ML}^2\text{T}^{-1}]$ (ii).
Kinetic energy: $[\text{ML}^2\text{T}^{-2}]$ (iii).
Potential $V = W/q$: $\dfrac{[\text{ML}^2\text{T}^{-2}]}{[\text{IT}]} = [\text{ML}^2\text{I}^{-1}\text{T}^{-3}]$ (iv).
Momentum: $[\text{MLT}^{-1}]$ (i).
Solution by Sreeraj P, M.Sc Physics