The current-voltage graph for a given men. wire at two different temperatures T1 and T2 are shown in given figure, which of the relation is correct from the following?

Question

The current-voltage graph for a given men. wire at two different temperatures T1 and T2 are shown in given figure, which of the relation is correct from the following? (A) T2 > T1 (B) T1 > T2 (C) T1=T2 (D) None of these

Tardigrade Admin · Accepted Answer

From Ohm's law V = IR ⇒ (I/V) = (1/R) Hence, slope =(1/R) Since slope of graph at temperature T1 is greater than that at temperature T2, so R1 < R2. Since, resistance increases with rise of temperature. Hence, T2>T1

Q. The current-voltage graph for a given men. wire at two different temperatures $T_{1}$ and $T_{2}$ are shown in given figure, which of the relation is correct from the following?

$T_{2} > T_{1}$

$T_{1} > T_{2}$

$T_{1} = T_{2}$

None of these

From Ohm's law $V = I R$
$\Rightarrow \frac{I}{V} = \frac{1}{R}$
Hence, slope $= \frac{1}{R}$
Since slope of graph at temperature $T_{1}$ is greater than that at temperature $T_{2}$ , so $R_{1} < R_{2}$ . Since, resistance increases with rise of temperature.
Hence, $T_{2} > T_{1}$

Q. The current-voltage graph for a given men. wire at two different temperatures T1​ and T2​ are shown in given figure, which of the relation is correct from the following?

T2​>T1​

T1​>T2​

T1​=T2​