Class 9 Exam > Class 9 Questions > Two particles are placed at some distance. If...
Start Learning for Free
Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will be
- a)1/4 times
- b)4 times
- c)1/2 times
- d)unchanged
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two particles are placed at some distance. If the mass of each of the ...
Free Test
FREE
| Start Free Test |
Community Answer
Two particles are placed at some distance. If the mass of each of the ...
Understanding Gravitational Force
The gravitational force between two particles is described by Newton's law of universal gravitation. This law states that the force (F) is directly proportional to the product of the masses of the two particles (m1 and m2) and inversely proportional to the square of the distance (r) between them.
Formula for Gravitational Force
The formula can be expressed as:
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 particles
- r is the distance between them
Effect of Doubling the Masses
When both masses are doubled (m1 becomes 2m1 and m2 becomes 2m2), we can substitute these values into the formula:
New Force (F') = G * (2m1 * 2m2) / r^2
This simplifies to:
F' = 4 * G * (m1 * m2) / r^2
Comparison of Forces
Now, let's compare the new force (F') with the original force (F):
- Original Force: F = G * (m1 * m2) / r^2
- New Force: F' = 4 * F
Thus, the gravitational force between the two particles increases by a factor of 4.
Conclusion
Therefore, the correct answer is that the gravitational force between the two particles will be 4 times the original force when the masses are doubled while keeping the distance unchanged. Thus, the answer is option 'B'.
The gravitational force between two particles is described by Newton's law of universal gravitation. This law states that the force (F) is directly proportional to the product of the masses of the two particles (m1 and m2) and inversely proportional to the square of the distance (r) between them.
Formula for Gravitational Force
The formula can be expressed as:
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 particles
- r is the distance between them
Effect of Doubling the Masses
When both masses are doubled (m1 becomes 2m1 and m2 becomes 2m2), we can substitute these values into the formula:
New Force (F') = G * (2m1 * 2m2) / r^2
This simplifies to:
F' = 4 * G * (m1 * m2) / r^2
Comparison of Forces
Now, let's compare the new force (F') with the original force (F):
- Original Force: F = G * (m1 * m2) / r^2
- New Force: F' = 4 * F
Thus, the gravitational force between the two particles increases by a factor of 4.
Conclusion
Therefore, the correct answer is that the gravitational force between the two particles will be 4 times the original force when the masses are doubled while keeping the distance unchanged. Thus, the answer is option 'B'.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Question Description
Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer?.
Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two particles are placed at some distance. If the mass of each of the two particles is doubled, keeping the distance between them unchanged, the value of gravitational force between them will bea)1/4 timesb)4 timesc)1/2 timesd)unchangedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup