The acceleration due to gravity at the centre of earth is 

Solution:

The acceleration due to gravity is the force that attracts a body towards the center of the Earth.  For inside the earth , It is given by the formula:

g = G ×  (M r³/ R⁵)

where:

G is the gravitational constant

M is the mass of the Earth

R is the radius of the Earthr 

r is the distance from center (inside the earth)

At the center of the Earth, r = 0. Since the radius (R) is in the denominator, the acceleration due to gravity, g, becomes:

g = G × (M ×  0)

∴ The acceleration due to gravity at the center of the Earth is zero.