Applications of Dimensional Analysis question from NEET 2024

Answer: (c)

1. Only like quantities can be added: $[B] = [\sqrt{x}] = [L^{1/2}]$.
2. $[V] = [A][L^2]/[L^{1/2}] \Rightarrow [A] = [ML^2T^{-2}][L^{-3/2}] = [ML^{1/2}T^{-2}]$.
3. $[A^2/B] = [M^2LT^{-4}]/[L^{1/2}] = [M^2L^{1/2}T^{-4}]$.
4. So the answer is (c).