State whether the following statement is True or False:
The value of $G$ depends upon the mass of two objects.

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(FALSE) False.
The value of $G$ is the Universal Gravitational Constant, which is approximately $6.673 \times 10^{-11} \text{ N m}^2/\text{kg}^2$.
It is a fundamental constant of nature and does not depend on the mass, distance, or the medium between the two objects.

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$(i)$ Is the acceleration due to gravity of earth '$g$' always a constant at every place? Discuss.
$(ii)$ During a free fall,will heavier objects accelerate more than lighter ones? Give reason for your answer.

State whether the following statement is True or False:
All objects attract each other along the line joining their centre of mass.

$(a)$ Differentiate between $G$ and $g$.
$(b)$ Is the value of $g$ the same everywhere on Earth? Reason out.
$(c)$ How does the gravitational force between two objects change if the distance between them is tripled?

What is the acceleration due to gravity at the centre of the earth (in $m/s^2$)?

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