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Assuming earth to be spherical, at what ...

Assuming earth to be spherical, at what height above the north pole, value of g is same as that on earth's surface at equator?

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The correct Answer is:
A

`(g)/((1 + (h)/(R))) = g - R omega ^(2)`
By putting the value of `g`, `h`, `R` and `omega`, we get
`h ~~ 10 km`
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