NEET Exam  >  NEET Questions  >   The height at which the acceleration due to ... Start Learning for Free
The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is
  • a)
    R/√2
  • b)
    R / 2
  • c)
    √2R
  • d)
    2 R
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The height at which the acceleration due to gravity becomes g/9 (wher...
The acceleration due to gravity on the surface of the Earth is denoted by g. We are given that at a certain height, the acceleration due to gravity becomes g/9. We need to find this height in terms of the radius of the Earth, R.

Let's assume that the height at which the acceleration due to gravity becomes g/9 is h.

The acceleration due to gravity at a height h can be given by the formula:

g' = g(1 - (2h/R))

Where g' is the acceleration due to gravity at height h, g is the acceleration due to gravity on the surface of the Earth, h is the height, and R is the radius of the Earth.

According to the given information, g' = g/9. Substituting these values into the formula, we get:

g/9 = g(1 - (2h/R))

Now, let's solve this equation to find the value of h.

Simplifying the equation:

1 - (2h/R) = 1/9

Multiplying both sides by 9:

9 - 18h/R = 1

Rearranging the equation:

18h/R = 9 - 1

18h/R = 8

Multiplying both sides by R/18:

h = (8R) / 18

Simplifying the expression:

h = 4R/9

So, the height at which the acceleration due to gravity becomes g/9 in terms of the radius of the Earth, R, is 4R/9.

Therefore, the correct answer is option D) 2R.
Free Test
Community Answer
The height at which the acceleration due to gravity becomes g/9 (wher...
We know that
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer?
Question Description
The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 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 acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. 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 acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, isa)R/√2b)R / 2c)√2Rd)2 RCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev