Question

In a parallel universe, parallel physicists on a parallel Earth picked units of time T], mass [M] and charge [C as their basic three dimensions for their physics. Express units of length in terms of these three basic units.

Answer 1

`L = (M)/(C*T)`

Step-by-step explanation:

In our universe the unit of current used to be defined as the current that produces a certain force per unit of length between two wires separated by a certain length. This means:

`I = (F)/(l * l)`

Replacing force by its definition

`I = (M * (l)/(T^2))/(l^2) = (M)/(l * T^2)`

And since current is charge over time

`C = I * T`

`C = (M)/(l * T)`

From this we can define length as a function of time, mass, and charge:

`L = (M)/(C*T)`