Question

The mathematical relationship between three physical quantities is given by α= b²c. If the dimension of b is [T]; and the dimension of c is of the following choices is the dimension of a? [L]/[T²] . Which one

O [T]
O [L]
O [L]/[T]
O [T]/[L]
O [L]/[T²]

Answer 1

The dimension of the physical quantity α is [L], which represents length, obtained by multiplying the squared dimension of b with the dimension of c.

Step-by-step explanation:

The question asks about the dimensions of a physical quantity α (α= b²c) given the dimensions of other quantities b and c.

The dimension of b is [T], and the dimension of c is [L]/[T²].

To find the dimensions of α, we multiply the dimensions of b squared with the dimension of c.

This gives us α = [T]² × [L]/[T²] = [T²] × [L]/[T²] = [L].

Therefore, the dimension of α is [L], which represents length.