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
Here is the solution to the question: 9. (d) Resistance of a Wire Step 1: State the formula for resistance. 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, and A is the cross-sectional area. Step 2: Define the properties of the first wire. For the first wire, let its resistance be R_1, length L_1 = L, and cross-sectional area A_1 = A. So, the resistance of the first wire is: R_1 = (L)/(A) Step 3: Define the properties of the second wire. For the second wire, it is made of the same material (so resistivity is the same), its length L_2 = 3L, and its cross-sectional area A_2 = A. So, the resistance of the second wire is: R_2 = (3L)/(A) Step 4: Compare their resistances. We can rewrite the expression for R_2 by factoring out the constant 3: R_2 = 3 ( (L)/(A) ) Since R_1 = (L)/(A), we can substitute R_1 into the equation for R_2: R_2 = 3 R_1 The second wire has three times the resistance of the first wire. 3 done, 2 left today. You're making progress.