JEE Exam > JEE Questions > The resistance of a certain of a certain plat...
Start Learning for Free
The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is?
Most Upvoted Answer
The resistance of a certain of a certain platinum resistance thermomet...
Given Information:
- Resistance at 0°C: 2.56 ohm
- Resistance at 100°C: 3.56 ohm
- Resistance in the liquid: 5.06 ohm
Goal:
To determine the temperature of the liquid based on the resistance measurements.
Approach:
We will use the concept of the resistance-temperature relationship of the platinum resistance thermometer to determine the temperature of the given liquid. The resistance-temperature relationship is typically described by the equation:
R = R0 * (1 + α * T)
Where:
- R is the resistance at a given temperature T
- R0 is the resistance at 0°C
- α is the temperature coefficient of resistance for platinum (a constant)
- T is the temperature in degrees Celsius
Solution:
Step 1: Calculate the temperature coefficient of resistance (α)
To determine α, we can use the given resistance values at 0°C and 100°C:
R0 = 2.56 ohm
R100 = 3.56 ohm
Using the resistance-temperature relationship equation, we can rearrange it as follows:
α = (R100 - R0) / (R0 * 100)
Substituting the values:
α = (3.56 - 2.56) / (2.56 * 100)
= 0.01 ohm/°C
Step 2: Calculate the temperature of the liquid
We know the resistance of the liquid is 5.06 ohm. Let's substitute this value into the resistance-temperature relationship equation and solve for T:
5.06 = 2.56 * (1 + 0.01 * T)
Simplifying the equation:
1 + 0.01 * T = 5.06 / 2.56
0.01 * T = 1.98
T = 1.98 / 0.01
T = 198°C
Conclusion:
The temperature of the liquid is 198°C. By using the resistance-temperature relationship of the platinum resistance thermometer and the given resistance measurements, we were able to determine the temperature of the liquid accurately.
- Resistance at 0°C: 2.56 ohm
- Resistance at 100°C: 3.56 ohm
- Resistance in the liquid: 5.06 ohm
Goal:
To determine the temperature of the liquid based on the resistance measurements.
Approach:
We will use the concept of the resistance-temperature relationship of the platinum resistance thermometer to determine the temperature of the given liquid. The resistance-temperature relationship is typically described by the equation:
R = R0 * (1 + α * T)
Where:
- R is the resistance at a given temperature T
- R0 is the resistance at 0°C
- α is the temperature coefficient of resistance for platinum (a constant)
- T is the temperature in degrees Celsius
Solution:
Step 1: Calculate the temperature coefficient of resistance (α)
To determine α, we can use the given resistance values at 0°C and 100°C:
R0 = 2.56 ohm
R100 = 3.56 ohm
Using the resistance-temperature relationship equation, we can rearrange it as follows:
α = (R100 - R0) / (R0 * 100)
Substituting the values:
α = (3.56 - 2.56) / (2.56 * 100)
= 0.01 ohm/°C
Step 2: Calculate the temperature of the liquid
We know the resistance of the liquid is 5.06 ohm. Let's substitute this value into the resistance-temperature relationship equation and solve for T:
5.06 = 2.56 * (1 + 0.01 * T)
Simplifying the equation:
1 + 0.01 * T = 5.06 / 2.56
0.01 * T = 1.98
T = 1.98 / 0.01
T = 198°C
Conclusion:
The temperature of the liquid is 198°C. By using the resistance-temperature relationship of the platinum resistance thermometer and the given resistance measurements, we were able to determine the temperature of the liquid accurately.
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
|
|
Similar JEE Doubts
Top Courses for JEEView all
The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is?
Question Description
The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is?.
The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is?.
Solutions for The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? 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 resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? defined & explained in the simplest way possible. Besides giving the explanation of
The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is?, a detailed solution for The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? has been provided alongside types of The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? theory, EduRev gives you an
ample number of questions to practice The resistance of a certain of a certain platinum resistance thermometer is found to be 2.56 ohm at 0 degree and 3.56ohm at 100degree celcius. When the thermometer is immersed in a given liquid, its resistance is observed to be 5.06 ohm. The temp of the liquid is? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup