Which of the following statements is true - Vidyadip

MCQ

Which of the following statements is true

A
$g$ is less at the earth's surface than at a height above it or a depth below it
B
$g$ is same at all places on the surface of the earth
C
$g$ has its maximum value at the equator
✓
$g$ is greater at the poles than at the equator

✓

Answer

Correct option: D.

$g$ is greater at the poles than at the equator

d
The centrifugal force due to spinning of earth is maximum at the equator and vanishes at the poles. So, the effective gravitational acceleration is minimum at equator and maximum at poles.

The value of acceleration at height $h$ is $g_h=\frac{ GM }{( R + h )^2}$ and at depth $d$ is $g _d=$ $\frac{ GM }{( R - d )^2}$

Thus, the value of $g$ is more at the earth's surface than at a height above or a depth below.

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