JEE Main 2024 Physics question

PhysicsUnits and MeasurementJEE Main 2024

Consider two physical quantities A and B related to each other as where E, x and t have dimensions of energy, length and time respectively. The dimension of AB is

Answer: (D)

Solution

B and x² must have the same dimensions, so [B] = L². Then [A] = [B − x²]/([E][t]) = L²/(ML²T⁻² · T) = M⁻¹T. So [AB] = M⁻¹L²T.

Question ID VK-017202