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Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:
Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.
Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.
- a)Both assertion and reason are true and reason is the correct explanation of assertion.
- b)Both assertion and reason are true but reason is not the correct explanation of assertion.
- c)Assertion is true but reason is false.
- d)Both Assertion and Reason are false.
Correct answer is option 'A'. Can you explain this answer?
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Direction : In each of the following questions, a statement of Assert...
According to Newton's law of gravitation, F = (G(m1m2)/r2)
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When m1, m2 and r all are doubled,
F’ = G(2m1)(2m2)/(2r)2 = Gm1m2/r2
which is still equal to F. i.e., force remains the same.
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Direction : In each of the following questions, a statement of Assert...
Assertion and Reason
Assertion: When the distance between two bodies is doubled and the mass of each body is doubled, then the gravitational force between them remains the same.
Reason: According to Newton’s law of gravitation, the product of the force is directly proportional to the product of the mass of bodies and inversely proportional to the square of the distance between them.
Correct Answer: Option A - Both the assertion and reason are true, and the reason is the correct explanation of the assertion.
Explanation:
The given assertion states that when the distance between two bodies is doubled and the mass of each body is doubled, the gravitational force between them remains the same. The reason provided for this is based on Newton's law of gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
To understand why the assertion and reason are true, let's analyze the relationship between the variables involved.
Newton's Law of Gravitation:
According to Newton's law of gravitation, the force (F) between two objects is given by the equation:
F = G * (m1 * m2) / r^2
Where:
- F is the gravitational force between the objects
- G is the gravitational constant
- m1 and m2 are the masses of the objects
- r is the distance between the centers of the objects
Analysis:
When the distance between the two bodies is doubled:
- The term "r^2" in the denominator becomes "4r^2" (since the square of the doubled distance is four times the original distance squared).
- Therefore, the force of gravity decreases by a factor of 1/4 (inverse square relationship).
When the mass of each body is doubled:
- The term "(m1 * m2)" in the numerator becomes "4(m1 * m2)" (since the product of the doubled masses is four times the original product).
- Therefore, the force of gravity increases by a factor of 4 (direct proportionality).
Combining the Effects:
When both the distance and the mass are doubled:
- The decrease in force due to the doubled distance is exactly compensated by the increase in force due to the doubled mass.
- The net effect is that the gravitational force between the two bodies remains the same.
Therefore, the assertion is true, and the reason provided is the correct explanation for it.
Assertion: When the distance between two bodies is doubled and the mass of each body is doubled, then the gravitational force between them remains the same.
Reason: According to Newton’s law of gravitation, the product of the force is directly proportional to the product of the mass of bodies and inversely proportional to the square of the distance between them.
Correct Answer: Option A - Both the assertion and reason are true, and the reason is the correct explanation of the assertion.
Explanation:
The given assertion states that when the distance between two bodies is doubled and the mass of each body is doubled, the gravitational force between them remains the same. The reason provided for this is based on Newton's law of gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
To understand why the assertion and reason are true, let's analyze the relationship between the variables involved.
Newton's Law of Gravitation:
According to Newton's law of gravitation, the force (F) between two objects is given by the equation:
F = G * (m1 * m2) / r^2
Where:
- F is the gravitational force between the objects
- G is the gravitational constant
- m1 and m2 are the masses of the objects
- r is the distance between the centers of the objects
Analysis:
When the distance between the two bodies is doubled:
- The term "r^2" in the denominator becomes "4r^2" (since the square of the doubled distance is four times the original distance squared).
- Therefore, the force of gravity decreases by a factor of 1/4 (inverse square relationship).
When the mass of each body is doubled:
- The term "(m1 * m2)" in the numerator becomes "4(m1 * m2)" (since the product of the doubled masses is four times the original product).
- Therefore, the force of gravity increases by a factor of 4 (direct proportionality).
Combining the Effects:
When both the distance and the mass are doubled:
- The decrease in force due to the doubled distance is exactly compensated by the increase in force due to the doubled mass.
- The net effect is that the gravitational force between the two bodies remains the same.
Therefore, the assertion is true, and the reason provided is the correct explanation for it.
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Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer?
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Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer?.
Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason 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 9.
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Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Direction : In each of the following questions, a statement of Assertion is given and a corresponding statement of Reason is given just below it. Of the statements, given below, mark the correct answer as:Assertion : When distance between two bodies is doubled and also mass of each body is doubled, then the gravitational force between them remains the same.Reason : According to Newton’s law of gravitation, product of force is directly proportional to the product mass of bodies and inversely proportional to square of the distance between them.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Both Assertion and Reason are false.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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