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Acceleration due to gravity is 'g' on the suface of the earth. The value of acceleration due to gravity at a height of 32 km above earth's surface is (Radius of the earth = 6400 km)
  • a)
    0.9 g
  • b)
    0.99 g
  • c)
    0.8 g
  • d)
    1.01 g
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Acceleration due to gravity is 'g' on the suface of the earth. The va...
Understanding Acceleration Due to Gravity
Acceleration due to gravity 'g' at the Earth's surface is approximately 9.81 m/s². As we move away from the Earth's surface, 'g' decreases according to 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 at the surface
- R is the radius of the Earth
- h is the height above the Earth's surface
Given Values
- Radius of the Earth (R) = 6400 km = 6400000 m
- Height (h) = 32 km = 32000 m
Calculating g' at 32 km Height
1. Plugging in Values:
Using the formula, we have:
g' = g * (1 - (2 * 32000 / 6400000))
2. Simplifying the Expression:
- Calculate (2 * 32000) = 64000
- Calculate (64000 / 6400000) = 0.01
3. Final Calculation:
g' = g * (1 - 0.01)
g' = g * 0.99
Conclusion
The value of acceleration due to gravity at a height of 32 km above the Earth's surface is approximately 0.99g. Hence, the correct answer is option 'B'.
This result indicates that gravity is still quite strong at this height, with only a slight reduction from its surface value.
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Community Answer
Acceleration due to gravity is 'g' on the suface of the earth. The va...
H = 32 km, R = 6400 km, so h < />
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Acceleration due to gravity is 'g' on the suface of the earth. The value of acceleration due to gravity at a height of 32 km above earth's surface is (Radius of the earth = 6400 km)a)0.9 gb)0.99 gc)0.8 gd)1.01 gCorrect answer is option 'B'. Can you explain this answer?
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Acceleration due to gravity is 'g' on the suface of the earth. The value of acceleration due to gravity at a height of 32 km above earth's surface is (Radius of the earth = 6400 km)a)0.9 gb)0.99 gc)0.8 gd)1.01 gCorrect answer is option 'B'. 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 Acceleration due to gravity is 'g' on the suface of the earth. The value of acceleration due to gravity at a height of 32 km above earth's surface is (Radius of the earth = 6400 km)a)0.9 gb)0.99 gc)0.8 gd)1.01 gCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Acceleration due to gravity is 'g' on the suface of the earth. The value of acceleration due to gravity at a height of 32 km above earth's surface is (Radius of the earth = 6400 km)a)0.9 gb)0.99 gc)0.8 gd)1.01 gCorrect answer is option 'B'. Can you explain this answer?.
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