Question

The acceleration due to gravity g and density of
the earth p are related by which of the following
relation ? (where G is the gravitational constant
and Rp is the radius of the earth) :-​

Answer 1

The acceleration due to gravity g and density of

the earth p are related by which of the following

relation ? (where G is the gravitational constant

and Rp is the radius of the earth) :-

Answer 2

ANSWER

Hiee!!

Explanation:

let us take earth is to be sphere of radius R and  density d.  

Then the mass of the earth M is given by,

M = 4/3 π R³ d. According to law of gravitation the force on a body of mass m, near the surface of earth is given by,

F = G (mM/R²), in magnitude, and acting along the line joining the centre of the earth and the centre of the body. Let this force produce an acceleration g in the body of mass m. Then

G (mM/R²) = mg, or g = G M/R² = 4π/3 G R d.

Acceleration due to gravity is proportional to mean density of earth, and its radius.