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The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, at
- a)1154 K
- b)1127 K
- c)600 K
- d)1400 K
Correct answer is option 'B'. Can you explain this answer?
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The temperature coefficient of a resistance wire is 0.00125 per degree...
Given information:
- Temperature coefficient of resistance wire = 0.00125 per degree
- Resistance at 300 K = 1 ohm
- Resistance at an unknown temperature T = 2 ohm
We need to find the temperature T at which the resistance of the wire is 2 ohm.
Formula used:
The formula used to calculate the resistance of a wire with changing temperature is given by:
Rt = R0 (1 + αΔT)
Where,
Rt = Resistance of the wire at temperature T
R0 = Resistance of the wire at reference temperature (here, 300 K)
α = Temperature coefficient of resistance
ΔT = Change in temperature from reference temperature (T - 300 K)
Solution:
Let's calculate the change in temperature required to change the resistance from 1 ohm to 2 ohm using the above formula.
For Rt = 2 ohm, we have:
2 = 1(1 + αΔT)
Simplifying the above equation, we get:
αΔT = 1
ΔT = 1/α
Substituting the given value of α = 0.00125 per degree, we get:
ΔT = 800 degrees
Therefore, the change in temperature required to change the resistance from 1 ohm to 2 ohm is 800 degrees.
Now, we need to find the temperature at which this change in resistance occurs. We can use the same formula to calculate the temperature T.
For Rt = 2 ohm, we have:
2 = 1(1 + 0.00125ΔT)
Substituting the value of ΔT = 800 degrees, we get:
2 = 1(1 + 0.00125 x 800)
2 = 1(2)
Therefore, the temperature at which the resistance of the wire is 2 ohm is 1127 K.
Hence, option B is the correct answer.
- Temperature coefficient of resistance wire = 0.00125 per degree
- Resistance at 300 K = 1 ohm
- Resistance at an unknown temperature T = 2 ohm
We need to find the temperature T at which the resistance of the wire is 2 ohm.
Formula used:
The formula used to calculate the resistance of a wire with changing temperature is given by:
Rt = R0 (1 + αΔT)
Where,
Rt = Resistance of the wire at temperature T
R0 = Resistance of the wire at reference temperature (here, 300 K)
α = Temperature coefficient of resistance
ΔT = Change in temperature from reference temperature (T - 300 K)
Solution:
Let's calculate the change in temperature required to change the resistance from 1 ohm to 2 ohm using the above formula.
For Rt = 2 ohm, we have:
2 = 1(1 + αΔT)
Simplifying the above equation, we get:
αΔT = 1
ΔT = 1/α
Substituting the given value of α = 0.00125 per degree, we get:
ΔT = 800 degrees
Therefore, the change in temperature required to change the resistance from 1 ohm to 2 ohm is 800 degrees.
Now, we need to find the temperature at which this change in resistance occurs. We can use the same formula to calculate the temperature T.
For Rt = 2 ohm, we have:
2 = 1(1 + 0.00125ΔT)
Substituting the value of ΔT = 800 degrees, we get:
2 = 1(1 + 0.00125 x 800)
2 = 1(2)
Therefore, the temperature at which the resistance of the wire is 2 ohm is 1127 K.
Hence, option B is the correct answer.
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The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer?
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The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer?.
The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The temperature coefficient of a resistance wire is 0.00125 per degree. The resistance at 300 K is 1 ohm. At what temperature its resistance will be 2 ohm, ata)1154 Kb)1127 Kc)600 Kd)1400 KCorrect answer is option 'B'. Can you explain this answer?.
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