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The temperature coefficient of resistance for a wire is 0.00125/ oC. At 300 K its resistance is 1 ohm. The temperature at which the resistance becomes 2 ohm is
  • 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 for a wire is 0.00125/oC. At...
Given:
Temperature coefficient of resistance, α = 0.00125/oC
Resistance at temperature T1 = 1 Ω, T1 = 300 K
Resistance at temperature T2 = 2 Ω
To find: Temperature at which resistance becomes 2 Ω

Formula Used:
The resistance of a wire changes with temperature and is given by:
R2 = R1 (1 + αΔT)
Where,
R1 = Resistance of wire at temperature T1
R2 = Resistance of wire at temperature T2
α = Temperature coefficient of resistance of wire
ΔT = T2 - T1

Calculation:
Let's assume the temperature at which resistance becomes 2 Ω is T2.
Using the formula, we get:
2 = 1 (1 + 0.00125 × (T2 - 300))
=> 2 = 1 + 0.00125T2 - 0.375
=> 0.00125T2 = 1.375
=> T2 = 1.375/0.00125
=> T2 ≈ 1100 K

Therefore, the temperature at which the resistance becomes 2 ohm is option (d) 1127 K (approximately).
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The temperature coefficient of resistance for a wire is 0.00125/oC. At 300 K its resistance is 1 ohm. The temperature at which the resistance becomes 2 ohm isa)1154 Kb)1100 Kc)1400 Kd)1127 KCorrect answer is option 'D'. Can you explain this answer?
Question Description
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