What are the units of inductance and G? Show that P = mv2t/d is dimensionally correct.

Here are the solutions to the questions:

1.

a)

i) The unit of inductance is the Henry ($\text{H}$).

ii) The unit of universal gravitational constant, $G$, is Newton meter squared per kilogram squared ($\text{N m}^2 \text{ kg}^{-2}$) or ($\text{kg}^{-1} \text{ m}^3 \text{ s}^{-2}$).

b)
To show that the equation $P = \frac{mv^2t}{d}$ is dimensionally correct, we compare the dimensions of the left-hand side (LHS) and the right-hand side (RHS).

Step 1: Determine the dimensions of momentum ($P$).
Momentum is defined