Question

Write the dimensions of a and b in the relation ,` P = (b-x^(2))/(at)` , where P
is power ,x is distance and t is time

Answer 1

The given equation can be written as, `Pat = b-x^(2)`
Now, ` [Pat] = [b] =[ x^(2)]` or`[b]=[ x^(2)] = [M^(0)L^(2)T^(0)]`
and ` [a] = ([x^(2)])/([Pt]) ([L^(2)])/([ML^(2)T^(-3)][T]) = [M^(-1)L^(0)T^(0)]`