At which height from the earth's surface does the acceleration due to gravity decrease by 75 % of its value at earth's surface?

Question

At which height from the earth's surface does the acceleration due to gravity decrease by 75 % of its value at earth's surface? (A) 6400 KM (B) 3200 KM (C) 1600 KM (D) 12800 KM

Tardigrade Admin · Accepted Answer

g text height =g / 4=( g /(1+( h ) R e)2) ⇒ h = R e=6400 km

Q. At which height from the earth's surface does the acceleration due to gravity decrease by $75%$ of its value at earth's surface?

6400 KM

3200 KM

1600 KM

12800 KM

$g_{height} = g /4 = \frac{g}{( 1 + \frac{h}{R _{e}} ) ^{2}}$
$\Rightarrow h = R_{e} = 6400 km$

Q. At which height from the earth's surface does the acceleration due to gravity decrease by 75% of its value at earth's surface?