Consider two physical quantities A and B related to each other as E = B − x 2 A t where E , x and t have dimensions of energy, length and time respectively. The dimension of A B is

Step-by-step solution

From the dimensional checking of the equation, we can say the dimensions of B = x 2 = L 2 And dimensions of A = x 2 t E = L 2 T M L 2 T − 2 = 1 M T − 1 Hence, A = M − 1 T Required value, A B = L 2 M − 1 T 1