CAT Exam > CAT Questions > The force of attraction between two bodies of...
Start Learning for Free
The force of attraction between two bodies of mass m1 and m2 varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction will
- a)Be quadrupled
- b)Be doubled
- c)Be halved
- d)Remain the same
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The force of attraction between two bodies of mass m1and m2varies dire...
Force of attraction F is given by: F 
or, F = K
Here, K is a constant.
When the masses and the distance between them are doubled, the force of attraction F1 will be
F1 = K
= K
Hence, the force of attraction remains unchanged.
∝
or, F = K
Here, K is a constant.
When the masses and the distance between them are doubled, the force of attraction F1 will be
F1 = K
= KHence, the force of attraction remains unchanged.
Free Test
FREE
| Start Free Test |
Community Answer
The force of attraction between two bodies of mass m1and m2varies dire...
The force of attraction between two bodies of mass m1 and m2 can be calculated using the formula:
F = k * (m1 * m2) / d^2
where F is the force of attraction, k is the proportionality constant, m1 and m2 are the masses of the bodies, and d is the distance between them.
If the masses of the bodies and the distance between them are doubled, we can calculate the new force of attraction using the same formula:
F' = k * ((2m1) * (2m2)) / (2d)^2
Simplifying this expression:
F' = k * (4m1m2) / (4d^2)
= (k * (m1m2)) / d^2
= F
We can see that the new force of attraction is equal to the original force of attraction. Therefore, the correct answer is option D: the force of attraction remains the same.
Explanation:
- The force of attraction between two bodies of mass m1 and m2 varies directly as the product of their masses and inversely as the square of the distance between them.
- This means that as the masses of the bodies increase, the force of attraction will increase, and as the distance between them increases, the force of attraction will decrease.
- When the masses and the distance are both doubled, the increase in force due to the increased masses is exactly offset by the decrease in force due to the increased distance.
- The proportionality constant k remains the same in this scenario.
- Therefore, the force of attraction will remain the same when both the masses and the distance are doubled.
F = k * (m1 * m2) / d^2
where F is the force of attraction, k is the proportionality constant, m1 and m2 are the masses of the bodies, and d is the distance between them.
If the masses of the bodies and the distance between them are doubled, we can calculate the new force of attraction using the same formula:
F' = k * ((2m1) * (2m2)) / (2d)^2
Simplifying this expression:
F' = k * (4m1m2) / (4d^2)
= (k * (m1m2)) / d^2
= F
We can see that the new force of attraction is equal to the original force of attraction. Therefore, the correct answer is option D: the force of attraction remains the same.
Explanation:
- The force of attraction between two bodies of mass m1 and m2 varies directly as the product of their masses and inversely as the square of the distance between them.
- This means that as the masses of the bodies increase, the force of attraction will increase, and as the distance between them increases, the force of attraction will decrease.
- When the masses and the distance are both doubled, the increase in force due to the increased masses is exactly offset by the decrease in force due to the increased distance.
- The proportionality constant k remains the same in this scenario.
- Therefore, the force of attraction will remain the same when both the masses and the distance are doubled.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer?
Question Description
The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer?.
The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The force of attraction between two bodies of mass m1and m2varies directly as the product of their masses and inversely as the square of the distance between them. If the masses of the bodies and the distance between them are doubled, then the force of attraction willa)Be quadrupledb)Be doubledc)Be halvedd)Remain the sameCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
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