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Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.
Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) is true.
Correct answer is option 'A'. Can you explain this answer?
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Direction : In the following questions, a statement of assertion (A) ...
Gravitational force is given by the formula F = GMm/R2. Gravitational force is inversely proportional to the square of the distance between two bodies.
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Direction : In the following questions, a statement of assertion (A) ...
Assertion: If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.
Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.
Explanation:
The gravitational force between two bodies is given by the formula:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant
m1 and m2 are the masses of the two bodies
r is the distance between the centers of the two bodies
Assertion is true:
If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, it means the new distance between the bodies is 5 times the original distance.
Let's assume the original distance between the bodies is d. So, the new distance would be 5d.
Reason is true:
The gravitational force is inversely proportional to the square of the distance between two bodies. It means that if the distance between two bodies is increased, the gravitational force decreases.
Let's compare the gravitational forces of the original distance (d) and the new distance (5d):
Original force (F1) = G * (m1 * m2) / d^2
New force (F2) = G * (m1 * m2) / (5d)^2 = G * (m1 * m2) / 25d^2
The ratio of the new force to the original force is:
F2 / F1 = (G * (m1 * m2) / 25d^2) / (G * (m1 * m2) / d^2)
F2 / F1 = (25d^2 / d^2)
F2 / F1 = 25/1
F2 = 25 * F1
So, the new force is 25 times the original force.
Therefore, the gravitational force is reduced by a factor of 1/25 when the distance between two bodies of mass m1 and m2 is increased by a factor of 5.
Conclusion:
Both the assertion and reason are true, and the reason is the correct explanation of the assertion.
Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.
Explanation:
The gravitational force between two bodies is given by the formula:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant
m1 and m2 are the masses of the two bodies
r is the distance between the centers of the two bodies
Assertion is true:
If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, it means the new distance between the bodies is 5 times the original distance.
Let's assume the original distance between the bodies is d. So, the new distance would be 5d.
Reason is true:
The gravitational force is inversely proportional to the square of the distance between two bodies. It means that if the distance between two bodies is increased, the gravitational force decreases.
Let's compare the gravitational forces of the original distance (d) and the new distance (5d):
Original force (F1) = G * (m1 * m2) / d^2
New force (F2) = G * (m1 * m2) / (5d)^2 = G * (m1 * m2) / 25d^2
The ratio of the new force to the original force is:
F2 / F1 = (G * (m1 * m2) / 25d^2) / (G * (m1 * m2) / d^2)
F2 / F1 = (25d^2 / d^2)
F2 / F1 = 25/1
F2 = 25 * F1
So, the new force is 25 times the original force.
Therefore, the gravitational force is reduced by a factor of 1/25 when the distance between two bodies of mass m1 and m2 is increased by a factor of 5.
Conclusion:
Both the assertion and reason are true, and the reason is the correct explanation of the assertion.
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Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?
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Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.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 the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.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 the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.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 the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.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 the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.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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Here you can find the meaning of Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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ample number of questions to practice Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the distance between two bodies of mass m1 and m2 is increased by a factor of 5, the gravitational force is reduced by 1/25.Reason: The gravitational force is inversely proportional to the square of the distance between two bodies.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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