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A Platinum Resistance Thermometer Reads 0° When Its Resistance is 80 ω and 100° When Its Resistance is 90 ω.

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प्रश्न

A platinum resistance thermometer reads 0° when its resistance is 80 Ω and 100° when its resistance is 90 Ω.
Find the temperature at the platinum scale at which the resistance is 86 Ω.

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उत्तर

Given:
Resistance at 0oC, R0 = 80

\[\Omega\]

Resistance at 100oC, R100 = 90 

\[\Omega\]

Let be the temperature at which the resistance (Rt) is 86 

\[\Omega\]

\[t = \frac{R_t - R_0}{R_{100} - R_0} \times 100\]

\[ \Rightarrow t = \frac{86 - 80}{90 - 80} \times 100\]

\[ \Rightarrow t = \frac{6}{10} \times 100\]

\[ \Rightarrow t = 60°\]

Therefore, the resistance is 86

\[\Omega\] at 60°C

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पाठ 23: Heat and Temperature - Exercises [पृष्ठ १२]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 23 Heat and Temperature
Exercises | Q 8 | पृष्ठ १२

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