Match List-I with List-II. Two resistors have the same resistance R₀ at an initial temperature. Their temperature coefficients of resistance are denoted by + and - . Consider the variation of their equivalent resistance as the temperature is increased. List-I (Configuration) List-II (Variation of Equivalent Resistance) (A) One + and one - resistor connected in series (I) Increases linearly (B) One + and one - resisto

Step-by-step solution

Let the change in temperature be T . For (A): The resistors are in series. Equivalent resistance R_ eq = R₀(1 + T) + R₀(1 - T) = 2R₀ . Thus, it remains constant. (A) matches with (III). For (B): The resistors are in parallel. Equivalent resistance R_ eq = R₀(1 + T) R₀(1 - T) R₀(1 + T) + R₀(1 - T) = R₀^2(1 - ^2 T^2) 2R₀ = R₀ 2 (1 - ^2 T^2) . Thus, it decreases quadratically. (B) matches with (IV). For (C): Both resistors have + and are in series. R_ eq = R₀(1 + T) + R₀(1 + T) = 2R₀(1 + T) . Thus, it increases linear