If displacement of an object is related to time according to the expression x = Bt2. What are dimensions of B?

Question

A: T2 / L

B: L / T2

C:L * T2

D:L / T

E: L2 / L

Answer 1

Since displacement has the dimension L, and B*T^2 = L, dimension of B is L/T^2 (answer B).
In a question like this, "t2" could mean 2*t or T^2. It's much better to use the caret (^) for exponentiation to avoid confusion.