Question

At what temperature the resistance of a thermometer will be 12% more of its resistance at 0°C
(given temperature coefficient of resistance is 2.5 × 10-3 °C-1?

Answer 1

Given :

• T⁰ = 0
• Resistance at T⁰ = R⁰

• Resistance at T ⁰C = R = R⁰ + 0.12 R⁰ = 1.12 R⁰
• Temperature coefficient of resistance = α = 2.5 x 10-³   /C

Solution :

As per the formula ,

R = R⁰ ( 1 + αΔT )

➜ 1.12 R⁰= R⁰ ( 1 +αΔT )

➜ 1.12 = 1 + αΔT

➜ 1.12 - 1 = αΔT

➜ ΔT = 0.12 x 1000 / 2.5

➜ ΔT = 48 ⁰ C

Now ,

➜ ΔT = T - T⁰ = 48

Hence ,

➜  T - T⁰ = 48

➜  T - 0 = 48

➜  T = 48 ⁰ C

Answer 2

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Refer to the attachment

48°© Ans.

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