Question

The value of g is maximum at poles.
A. True
B. False

Answer 1

At first students need to understand what gravity is, then they need to know what is acceleration due to gravity and how it is related to the poles of the earth. Now students must know that at which place the radius of earth is less then only they can answer this question.

Complete answer:
When some object is falling towards the earth due to earth’s gravitational force, It is something that we call the free fall of that object.
During freefall a body experiences only gravitational force.
Here in the question ‘g’ is actually nothing but acceleration due to gravity of the earth.
This acceleration due to gravity is one of the fundamental forces and has a fixed value of $9.8m/{{s}^{2}}$.
This force in simple words is actually the acceleration gained by an object due to gravitational force.
This acceleration is a vector quantity. As acceleration due to gravity depicts direction as well as magnitude.
Now, to understand this acceleration we need to know that what is gravity, it is actually the force with which the earth attracts a body towards its center.
Now, mathematically acceleration due to gravity is given as $g=\dfrac{GM}{{{r}^{2}}}$ .
We know that the earth has the smallest radius over the poles, so we can see that the acceleration due to gravity is inversely proportional to the radius ‘r’.

So option A, that is true is the correct answer.

Note:
In the equation, $g=\dfrac{GM}{{{r}^{2}}}$ here, ‘G’ is the universal gravitational constant, ‘M’ is the mass of the earth and ‘r’ is the radius of the earth from the center. Students must know where the radius of earth is maximum and where it is minimum to find the answer.