State whether the following statement is True or False:
The value of $g$ is zero at the centre of the earth.

(TRUE) The statement is True.
According to the formula for acceleration due to gravity at a depth $d$ below the surface of the Earth,$g_d = g(1 - d/R)$,where $g$ is the acceleration due to gravity at the surface,$d$ is the depth,and $R$ is the radius of the Earth.
At the centre of the Earth,the depth $d$ is equal to the radius $R$ $(d = R)$.
Substituting $d = R$ into the formula,we get $g_d = g(1 - R/R) = g(1 - 1) = g(0) = 0$.
Therefore,the acceleration due to gravity $(g)$ at the centre of the Earth is zero.