Class 11 Exam > Class 11 Questions > Read the assertion and reason carefully to m...
Start Learning for Free
Read the assertion and reason carefully to mark the correct option out of the options given below:
Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.
Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.
- a)If both assertion and reason are true and the reason is the correct explanation of the assertion.
- b)If both assertion and reason are true but reason is not the correct explanation of the assertion.
- c)If assertion is true but reason is false.
- d)If the assertion and reason both are false.
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Read the assertion and reason carefully to mark the correct option ou...
Let us consider the shaft as a cylinder. Then we have a solid cylinder A with radius D and a hollow cylinder B with inner radius d and outer radius D as shown in the figure.
If both the cylinders are made of the same material, clearly the mass of the A is greater than the mass of B as cylinder B is hollow.
Now if we assume that both the cylinders are made of the same mass, then the cylinder B is stronger than the cylinder A as the mass in the centre of cylinder B is spread at a smaller area.
Thus we can say that a hollow shaft is found to be stronger than a solid shaft made of the same size and material or that the assertion is true.
If the force is applied on the external diameter of both the cylinders, then the distance where the force is applied will remain constant. But we saw that the cylinder B is stronger than the cylinder A then we can say that cylinder B needs more force and hence more torque as compared to the cylinder A.
Then, the reason is also correct.
Hence, the answer is A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Most Upvoted Answer
Read the assertion and reason carefully to mark the correct option ou...
**Assertion: A hollow shaft is found to be stronger than a solid shaft made of the same material.**
**Reason: The torque required to produce a given twist in a hollow cylinder is greater than that required to twist a solid cylinder of the same size and material.**
The correct option is (a) If both the assertion and reason are true and the reason is the correct explanation of the assertion.
Explanation:
A hollow shaft is found to be stronger than a solid shaft made of the same material due to the following reasons:
**1. Increased Moment of Inertia:**
- The moment of inertia of an object is a measure of its resistance to changes in rotation.
- The moment of inertia of a hollow object is greater than that of a solid object of the same size and material.
- In the case of a hollow shaft, the material is distributed farther from the axis of rotation, resulting in a larger moment of inertia.
- The increased moment of inertia of the hollow shaft makes it more resistant to twisting and bending forces, making it stronger than a solid shaft.
**2. Efficient Material Distribution:**
- In a hollow shaft, the material is concentrated farther from the central axis, allowing for more efficient distribution of material.
- The material is concentrated in the outer regions of the shaft, where the stresses are maximum.
- This efficient material distribution enhances the strength and resistance of the hollow shaft to twisting and bending forces.
**3. Weight Reduction:**
- A hollow shaft is lighter than a solid shaft of the same size and material.
- The reduced weight of the hollow shaft reduces the inertia, enabling faster acceleration and deceleration.
- Additionally, the lighter weight of the hollow shaft reduces the overall load on the supporting structures, resulting in improved performance.
**4. Manufacturing Advantages:**
- Hollow shafts are often easier and more cost-effective to manufacture compared to solid shafts.
- The hollow shape allows for easier machining, reducing the manufacturing time and cost.
- This makes hollow shafts a preferred choice in various applications where strength and cost-effectiveness are important factors.
Therefore, the torque required to produce a given twist in a hollow cylinder is indeed greater than that required to twist a solid cylinder of the same size and material. This increased torque requirement is due to the larger moment of inertia and efficient material distribution in a hollow shaft, making it stronger than a solid shaft.
**Reason: The torque required to produce a given twist in a hollow cylinder is greater than that required to twist a solid cylinder of the same size and material.**
The correct option is (a) If both the assertion and reason are true and the reason is the correct explanation of the assertion.
Explanation:
A hollow shaft is found to be stronger than a solid shaft made of the same material due to the following reasons:
**1. Increased Moment of Inertia:**
- The moment of inertia of an object is a measure of its resistance to changes in rotation.
- The moment of inertia of a hollow object is greater than that of a solid object of the same size and material.
- In the case of a hollow shaft, the material is distributed farther from the axis of rotation, resulting in a larger moment of inertia.
- The increased moment of inertia of the hollow shaft makes it more resistant to twisting and bending forces, making it stronger than a solid shaft.
**2. Efficient Material Distribution:**
- In a hollow shaft, the material is concentrated farther from the central axis, allowing for more efficient distribution of material.
- The material is concentrated in the outer regions of the shaft, where the stresses are maximum.
- This efficient material distribution enhances the strength and resistance of the hollow shaft to twisting and bending forces.
**3. Weight Reduction:**
- A hollow shaft is lighter than a solid shaft of the same size and material.
- The reduced weight of the hollow shaft reduces the inertia, enabling faster acceleration and deceleration.
- Additionally, the lighter weight of the hollow shaft reduces the overall load on the supporting structures, resulting in improved performance.
**4. Manufacturing Advantages:**
- Hollow shafts are often easier and more cost-effective to manufacture compared to solid shafts.
- The hollow shape allows for easier machining, reducing the manufacturing time and cost.
- This makes hollow shafts a preferred choice in various applications where strength and cost-effectiveness are important factors.
Therefore, the torque required to produce a given twist in a hollow cylinder is indeed greater than that required to twist a solid cylinder of the same size and material. This increased torque requirement is due to the larger moment of inertia and efficient material distribution in a hollow shaft, making it stronger than a solid shaft.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer?
Question Description
Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer?.
Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion : A hollow shaft is found to be stronger than a solid shaft made of same material.Reason : The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.a)If both assertion and reason are true and the reason is the correct explanation of the assertion.b)If both assertion and reason are true but reason is not the correct explanation of the assertion.c)If assertion is true but reason is false.d)If the assertion and reason both are false.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
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