The resistance R of a wire is given by the formula R = (L)/(A), where is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area. For a
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.
ScanSolve AI Answer
Step 1: Analyze the resistance of a copper wire (Question 36).
The resistance $R$ of a wire is given by the formula $R = \rho \frac{L}{A}$, where $\rho$ is the resistivity of the material, $L$ is the length of the wire, and $A$ is the cross-sectional area. For a wire with radius $r$, the cross-sectional area is $A = \pi r^2$.
Statement 1: It is proportional to the radius of the wire.
Substituting $A = \pi r^2$ into the resistance formula, we get $R = \rho \frac{L}{\pi r^2}$. This shows that $R$ is proportional to $\frac{
