Which of the following statements are true ab | vedclass

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(A) The acceleration due to gravity at the surface of the Earth is given by $g = \frac{GM}{R^2}$,where $G$ is the gravitational constant,$M$ is the ma

Vedclass · Accepted Answer

$A$ and $B$

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(A) The acceleration due to gravity at the surface of the Earth is given by $g = \frac{GM}{R^2}$,where $G$ is the gravitational constant,$M$ is the mass of the Earth,and $R$ is the radius of the Earth.Since the Earth is an oblate spheroid,its radius $R$ is minimum at the poles and maximum at the equator. Because $g \propto \frac{1}{R^2}$,$g$ is greater at the poles.As we move to a height $h$ above the surface,the acceleration due to gravity $g^{\prime}$ is given by $g^{\prime} = \frac{g}{(1 + h/R)^2}$. As $h$ increases,$g^{\prime}$ decreases.At the center of the Earth,the effective acceleration due to gravity is zero.Therefore,statements $A$ and $B$ are correct.

Which of the following statements are true about the acceleration due to gravity,$g$?
$A$. $g$ is greater at the poles.
$B$. The value of $g$ decreases with height.
$C$. The value of $g$ is the same all over the Earth.
$D$. The value of $g$ is maximum at the center of the Earth.

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Which of the following statements are true about the acceleration due to gravity,$g$?$A$. $g$ is greater at the poles.$B$. The value of $g$ decreases with height.$C$. The value of $g$ is the same all over the Earth.$D$. The value of $g$ is maximum at the center of the Earth.