Answer in detail III — task. Science State Board, Class 10.

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At what height from the centre of the Earth the acceleration due to gravity will be th of its

${\frac{1}{4}}^{th}$ value as at the Earth.

We know that,

Answer variants:

Acceleration due to gravity

$g$

$=$

$\times$

/ (

$^2$ )

Where,

$G$

$=$

$M$

$=$

$R$

$=$

Let us assume,

Height from the centre of the Earth (

$R'$ )

$=$

$R + h$

The acceleration due to gravity at that height (

$g'$ )

$=$

$\frac{g}{4}$

Mass of the earth

$=$

By substituting we get,

$\frac{g}{g'}=$

After simplification,

From the centre of the Earth, the object is placed at

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25. Answer in detail III