Question

The mathematical relationship between three physical quantities is given by a= b² / c.

if the dimension of b is [L]/[T]² and he dimension of C is [L] what is the dimension of A?

Answer 1

The dimension of A is [L²]/[LT²].

Step-by-step explanation:

The dimension of A can be determined by analyzing the dimensions of the terms in the equation a = b² / c. The dimension of b is [L]/[T]² and the dimension of c is [L].

To find the dimension of a, we substitute the given dimensions:

[a] = [b²] / [c] = ([L]/[T]²)² / [L] = [L]² / ([T²] · [L]) = [L²]/[LT²]

Therefore, the dimension of A is [L²]/[LT²].