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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.
Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
In case of assertion
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The distance covered in one revolution is 2πr, that is, its circumference.
∴ Assertion is correct
In case of reason:
Because the distance travelled by the wheel in one revolution is equal to its circumference Circumference of wheel = π × diameter
= π × d
= πd
Hence the given answer in the question is incorrect.
∴ Reason is incorrect.
Hence, assertion is correct and reason is incorrect.
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.
Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.
The given assertion and reason are related to the concept of the circumference of a circle and the relationship between the distance covered by a wheel and the number of revolutions it makes.
Explanation:
To understand the given assertion and reason, let's break down the concepts involved and analyze them step by step.
Concept 1: Circumference of a Circle
The circumference of a circle is given by the formula C = 2πr, where "C" represents the circumference and "r" represents the radius of the circle.
Concept 2: Relationship between Distance, Circumference, and Number of Revolutions
When a circular wheel rolls, the distance it covers is equal to the circumference of the circle traced by the center of the wheel. In other words, the distance covered by the wheel in one revolution is equal to the circumference of the circle.
Now, let's analyze the given assertion and reason.
Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.
This assertion is true. By considering the relationship between distance, circumference, and number of revolutions, we can say that the number of revolutions made by a wheel is equal to the distance covered divided by the circumference of the wheel.
Since the circumference of a circle is given by C = 2πr, substituting this value in the formula for the number of revolutions, we get:
Number of revolutions = s / (2πr)
Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.
This reason is false. The distance travelled by a circular wheel in one revolution is equal to the circumference of the wheel, not the diameter. The correct formula for the distance travelled in one revolution is:
Distance travelled in one revolution = Circumference of the wheel = 2πr
Therefore, Reason (R) does not provide the correct explanation for Assertion (A).
Hence, the correct answer is option 'C' - A is true but R is false.
Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.
The given assertion and reason are related to the concept of the circumference of a circle and the relationship between the distance covered by a wheel and the number of revolutions it makes.
Explanation:
To understand the given assertion and reason, let's break down the concepts involved and analyze them step by step.
Concept 1: Circumference of a Circle
The circumference of a circle is given by the formula C = 2πr, where "C" represents the circumference and "r" represents the radius of the circle.
Concept 2: Relationship between Distance, Circumference, and Number of Revolutions
When a circular wheel rolls, the distance it covers is equal to the circumference of the circle traced by the center of the wheel. In other words, the distance covered by the wheel in one revolution is equal to the circumference of the circle.
Now, let's analyze the given assertion and reason.
Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.
This assertion is true. By considering the relationship between distance, circumference, and number of revolutions, we can say that the number of revolutions made by a wheel is equal to the distance covered divided by the circumference of the wheel.
Since the circumference of a circle is given by C = 2πr, substituting this value in the formula for the number of revolutions, we get:
Number of revolutions = s / (2πr)
Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.
This reason is false. The distance travelled by a circular wheel in one revolution is equal to the circumference of the wheel, not the diameter. The correct formula for the distance travelled in one revolution is:
Distance travelled in one revolution = Circumference of the wheel = 2πr
Therefore, Reason (R) does not provide the correct explanation for Assertion (A).
Hence, the correct answer is option 'C' - A is true but R is false.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer?
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): In covering a distance s meter, a circular wheel of radius r meter makes s/2πr revolution.Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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