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Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: If we move from poles to equator, the direction of acceleration due to gravity of earth always points towards the center of earth without any variation in its magnitude.
Reason $R $: At equator, the direction of acceleration due to the gravity is towards the center of earth. In the light of above statements, choose the correct answer from the options given below
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
Both $A$ and $R$ are true but $R$ is NOT the correct explanation of $A$.
$A$ is true but $R$ is false
$A$ is false but $R$ is true
Solution
Effective acceleration due to gravity is the resultant of $g$ and $rw ^{2}$ whose direction and magnitude depends upon $\theta$. Hence assertion is false.
When $\theta=0^{\circ}$ (at equator), effective acceleration is radially inward.
