Question

Let x = p/(4r^2),where p is power and r is distance. The dimension of x is

Answer 1

Hope this helps 4 is a constant. It's dimensionless. ^ means to the power 2 right?

Answer 2

Given, $x=\frac{P}{4r^2}$
where P is power , r is the distance .
we have to find the dimension of x.

dimension of power , P = $[ML^2T^{-3}]$
dimension of distance, r = [L]
so, dimension of r² = [L²]

now, dimension of x = dimension of P/dimension of r²
= [ML²T-³]/[L²]
= [MT-³]
hence, dimension of x = $[MT^{-3}]$