Resistance of a wire at 0°C, 100°C and t °C is found to be 10 , 10.2 and 10.95 respectively. The temperature t in Kelvin scale is

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Solution

Q.
Resistance of a wire at 0°C, 100°C and t °C is found to be 10 $Ω$ , 10.2 $Ω$ and 10.95 $Ω$ respectively. The temperature t in Kelvin scale is _______ . [2024]

Ans.
(748)    $R = R_{0} (1 + α ∆ T) \Rightarrow \frac{∆ R}{R_{0}} = α ∆ T$

Case-I:

   $\frac{10.2 - 10}{10} = α (100 - 0)$ ...(i)

Case-II:

   $\frac{10.95 - 10}{10} = α (t - 0)$ ...(ii)

$\Rightarrow \frac{t}{100} = \frac{0.95}{0.2} = 475^{o} C \Rightarrow t = 475 + 273 = 748 K$

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