The statements that are true about acceleration due to gravity, $g$ A. $\mathrm{g}$ is greater at poles. B.…
The statements that are true about acceleration due to gravity, $g$
A. $\mathrm{g}$ is greater at poles.
B. g value decreases with height.
C. $g$ value is same all over the earth.
D. g value is maximum at centre of earth.
$\mathrm{A}$ and $\mathrm{B}$
A and D
B and C
C and D
Solution
Acceleration due to gravity is given by
$\mathrm{g}=\frac{\mathrm{GM}}{\mathrm{R}^2}$
As radius of earth at poles is minimum so, acceleration due to gravity will be maximum.
Acceleration due to gravity at height $\mathrm{h}$ is given by
$g^{\prime}=\frac{g}{\left(1+\frac{h}{R}\right)^2}$