This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here are the solutions to the questions:
1. a) i) The unit of inductance is the Henry (). ii) The unit of universal gravitational constant, , is Newton meter squared per kilogram squared () or ().
b) To show that the equation 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 (). Momentum is defined
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1. a) i) The unit of inductance is the Henry (H).
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.