NEET Exam > NEET Questions > The height at which the weight of a body bec...
Start Learning for Free
The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), is
- a)5 R
- b)15 R
- c)3 R
- d)4 R
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The height at which the weight of a body becomes 1/16th its weight on...
Acceleration due to gravity at a height h from the surface of earth is
where g is the acceleration due to gravity at the surface of earth and R is the radius of earth.
Multiplying by m (mass of the body) on both sides in (i), we get
∴ Weight of body at height h ,W′ = mg′
Weight of body at surface of earth, W = mg
According to question,W′ = 1/16W
or h/R = 3 or h = 3R
Free Test
FREE
| Start Free Test |
Community Answer
The height at which the weight of a body becomes 1/16th its weight on...
Concept:
When a body is at a height above the surface of the earth, the weight of the body decreases due to the decrease in gravitational force acting on it.
Solution:
To find the height at which the weight of a body becomes 1/16th its weight on the surface of earth, we can use the concept of gravitational force and the inverse square law.
- Let the height above the surface of the earth be 'h'.
- The weight of the body at height 'h' can be calculated using the formula: W = (G * m * M) / (R + h)^2, where G is the gravitational constant, m is the mass of the body, M is the mass of the earth, and R is the radius of the earth.
- Given that the weight at height 'h' is 1/16th its weight on the surface of the earth, we can write: W = (1/16) * (m * g), where g is the acceleration due to gravity on the surface of the earth.
- Equating the two expressions for weight, we get: (G * m * M) / (R + h)^2 = (1/16) * (m * g).
- Simplifying the above equation, we get: h = 3R.
Therefore, the height at which the weight of the body becomes 1/16th its weight on the surface of earth is 3 times the radius of the earth, which is option 'C'.
When a body is at a height above the surface of the earth, the weight of the body decreases due to the decrease in gravitational force acting on it.
Solution:
To find the height at which the weight of a body becomes 1/16th its weight on the surface of earth, we can use the concept of gravitational force and the inverse square law.
- Let the height above the surface of the earth be 'h'.
- The weight of the body at height 'h' can be calculated using the formula: W = (G * m * M) / (R + h)^2, where G is the gravitational constant, m is the mass of the body, M is the mass of the earth, and R is the radius of the earth.
- Given that the weight at height 'h' is 1/16th its weight on the surface of the earth, we can write: W = (1/16) * (m * g), where g is the acceleration due to gravity on the surface of the earth.
- Equating the two expressions for weight, we get: (G * m * M) / (R + h)^2 = (1/16) * (m * g).
- Simplifying the above equation, we get: h = 3R.
Therefore, the height at which the weight of the body becomes 1/16th its weight on the surface of earth is 3 times the radius of the earth, which is option 'C'.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
Question Description
The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer?.
The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The height at which the weight of a body becomes 1/16th its weight on the surface of earth (radius R), isa)5 Rb)15 Rc)3 Rd)4 RCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
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!
within 7 days!
Takes less than 10 seconds to signup