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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

A silver wire has a resistance of 2.1 Ω at 27.5°C, and a resistance of 2.7 Ω at 100°C. Determine the temperature coefficient of resistivity of silver.

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प्रश्न

A silver wire has a resistance of 2.1 Ω at 27.5°C, and a resistance of 2.7 Ω at 100°C. Determine the temperature coefficient of resistivity of silver.

संख्यात्मक
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उत्तर

Given: Temperature, T1 = 27.5°C

Resistance of the silver wire at T1, R1 = 2.1 Ω

Temperature, T2 = 100°C

Resistance of the silver wire at T2, R2 = 2.7 Ω

Temperature coefficient of silver = α

Formula: It is related to temperature and resistance as,

α = `(R_2 - R_1)/(R_1(T_2 - T_1))`

= `(2.7 - 2.1)/(2.1(100 - 27.5))`

= `(2.7 - 2.1)/(2.1(72.5))`

= `0.6/152.25`

= 0.0039°C−1

Therefore, the temperature coefficient of silver is 0.0039°C−1.

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पाठ 3: Current Electricity - EXERCISES [पृष्ठ १०६]

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एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 3 Current Electricity
EXERCISES | Q 3.5 | पृष्ठ १०६
एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 3 Current Electricity
Exercise | Q 3.7 | पृष्ठ १२७

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