Mechanical Engineering Exam > Mechanical Engineering Questions > which of the following statements regarding t...
Start Learning for Free
which of the following statements regarding the concept of continuum are correct?
1. Large number of molecules enable meaningful statistical averaging and assignment of property values
2. Mean free path of the molecules is order of magnitude higher than system dimensions
3. Behaviour of individual molecules is disregarded
4. Mean free path of the molecules approaches the order of magnitude of the system dimensions
- a)1 and 3
- b)2 and 3
- c)3 and 4
- d)1 and 4
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
which of the following statements regarding the concept of continuum a...
Correct Answer :- c
Explanation : Concept of Continuum is a kind of idealization of the continuous description of matter where the properties of matter are considered as continuous function of space variables. Although any matter is composed of several molecules, the concept of continuum assumes a continuous distribution of mass within the matter or system with no empty space, instead of actual conglomeration of separate molecules (a thing consisting of number of different distinct parts or item and that are grouped together it is meaning of conglomeration) for follow continuum concept characteristic length of molecular system should be more than mean free path (distance between two collisions) characteristic length is diameter of molecule < D (follow continuum concept).
Most Upvoted Answer
which of the following statements regarding the concept of continuum a...
Concept of Continuum
The concept of continuum is a fundamental concept in fluid mechanics that allows us to simplify the study of fluid flow by considering a continuous medium rather than individual molecules. It assumes that the fluid can be treated as a continuous substance, with properties such as density, velocity, and pressure varying smoothly throughout the fluid.
1. Large number of molecules enable meaningful statistical averaging and assignment of property values
This statement is correct. The concept of continuum relies on the assumption that there are a large number of molecules in the fluid. This allows us to use statistical methods to average out the behavior of individual molecules and assign meaningful property values to the fluid as a whole. By considering the behavior of a large number of molecules, we can simplify the analysis of fluid flow and make predictions about macroscopic properties.
2. Mean free path of the molecules is order of magnitude higher than system dimensions
This statement is incorrect. The mean free path of molecules in a fluid is the average distance traveled by a molecule between collisions with other molecules. In a continuum, the mean free path is very small compared to the system dimensions. This means that molecules are constantly colliding with each other, and their individual behavior is not significant in determining the overall behavior of the fluid.
3. Behaviour of individual molecules is disregarded
This statement is correct. In the concept of continuum, the behavior of individual molecules is disregarded. Instead, we focus on the average behavior of a large number of molecules. This allows us to simplify the analysis and consider the fluid as a continuous medium with smoothly varying properties.
4. Mean free path of the molecules approaches the order of magnitude of the system dimensions
This statement is incorrect. As mentioned earlier, in a continuum, the mean free path of molecules is very small compared to the system dimensions. This means that the molecules are closely packed together and their individual behavior is not significant in determining the overall behavior of the fluid.
Conclusion
In conclusion, the correct statements regarding the concept of continuum are:
- Large number of molecules enable meaningful statistical averaging and assignment of property values.
- Behavior of individual molecules is disregarded.
The concept of continuum is a fundamental concept in fluid mechanics that allows us to simplify the study of fluid flow by considering a continuous medium rather than individual molecules. It assumes that the fluid can be treated as a continuous substance, with properties such as density, velocity, and pressure varying smoothly throughout the fluid.
1. Large number of molecules enable meaningful statistical averaging and assignment of property values
This statement is correct. The concept of continuum relies on the assumption that there are a large number of molecules in the fluid. This allows us to use statistical methods to average out the behavior of individual molecules and assign meaningful property values to the fluid as a whole. By considering the behavior of a large number of molecules, we can simplify the analysis of fluid flow and make predictions about macroscopic properties.
2. Mean free path of the molecules is order of magnitude higher than system dimensions
This statement is incorrect. The mean free path of molecules in a fluid is the average distance traveled by a molecule between collisions with other molecules. In a continuum, the mean free path is very small compared to the system dimensions. This means that molecules are constantly colliding with each other, and their individual behavior is not significant in determining the overall behavior of the fluid.
3. Behaviour of individual molecules is disregarded
This statement is correct. In the concept of continuum, the behavior of individual molecules is disregarded. Instead, we focus on the average behavior of a large number of molecules. This allows us to simplify the analysis and consider the fluid as a continuous medium with smoothly varying properties.
4. Mean free path of the molecules approaches the order of magnitude of the system dimensions
This statement is incorrect. As mentioned earlier, in a continuum, the mean free path of molecules is very small compared to the system dimensions. This means that the molecules are closely packed together and their individual behavior is not significant in determining the overall behavior of the fluid.
Conclusion
In conclusion, the correct statements regarding the concept of continuum are:
- Large number of molecules enable meaningful statistical averaging and assignment of property values.
- Behavior of individual molecules is disregarded.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer?
Question Description
which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer?.
which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer?.
Solutions for which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice which of the following statements regarding the concept of continuum are correct?1. Large number of molecules enable meaningful statistical averaging and assignment of property values2. Mean free path of the molecules is order of magnitude higher than system dimensions3. Behaviour of individual molecules is disregarded4. Mean free path of the molecules approaches the order of magnitude of the system dimensionsa)1 and 3b)2 and 3c)3 and 4d)1 and 4Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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