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The temperature coefficient of resistance of a wire is 0.00125 per °C.  At 300K its resistance is 1 ohm. The resistance of the wire will be 2 ohms at
  • a)
    1154 K
  • b)
    1100 K
  • c)
    1400 K
  • d)
    1127 K
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The temperature coefficient of resistance of a wire is 0.00125 per &de...
The resistance of most of the metals increases in a linear way with temperature as shown and can be represented by the equation:
RT = R0(1 + αT)
RT = Resistance at a temperature T
R0 = Resistance at 0°C
α = Temperature coefficient of the resistance
Calculation:
Given:
α = 0.00125 per °C
R300K = 1 Ω, i.e.
T = 300 - 273 = 27°C
1 = R0(1 + α × 27)   ---(1)
Let the resistance be 2 Ω for some temperature T. We can write:
2 = R0(1 + α T)   ---(2)
(1) ÷ (2)
(1 + α T) = 2 (1 + α × 27)
α (T - 54) = 1
T - 54 = 800
T = 854°C
T = 854 + 273 = 1127 K
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Community Answer
The temperature coefficient of resistance of a wire is 0.00125 per &de...
Degree Celsius.
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The temperature coefficient of resistance of a wire is 0.00125 per °C. At 300K its resistance is 1 ohm. The resistance of the wire will be 2 ohms ata)1154 Kb)1100 Kc)1400 Kd)1127 KCorrect answer is option 'D'. Can you explain this answer?
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