Given below are two statements: Statement I: When n identical resistors are connected in series, their equivalent resistance is n² times their equivalent resistance when connected in parallel. Statement II: When a uniform wire of resistance R is cut into n equal parts and these parts are connected in parallel, the new equivalent resistance of the combination is R n² . In the light of the above statements, choose the

Step-by-step solution

Statement I: Let the resistance of each identical resistor be r . In series, the equivalent resistance is R_ s = nr . In parallel, the equivalent resistance is R_ p = r n . Taking the ratio, R_ s R_ p = nr ( r n ) = n² . Thus, R_ s = n²R_ p . Statement I is correct. Statement II: When a uniform wire of resistance R is cut into n equal parts, the resistance of each part becomes r = R n (since resistance is directly proportional to length). When these n parts are connected in parallel, the new equivalent resistance R