JEE Exam > JEE Questions > The temperature coefficient of a resistance w...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
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.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup