Variation of g with changing h as well as due to shape of the earth. Please answer it correct.
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VARIATION DUE TO SHAPE OF EARTH:
- The earth is an oblate spheroid.
- At the equator, the radius of the planet earth is more than the poles.
- The acceleration due to gravity is inversely proportional to the square of the radius of the earth.
- Hence, g at poles is greater than the equator.
VARIATION DUE TO CHANGING HEIGHT OF EARTH:
- GM/r²
- r=(R+h)
- where R= radius of the earth
- h = height
- Then, g'=GM/(R+h)²
- The value of g decreases with an increase in the height of an object.
- It will become zero at an infinite distance.
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