Question

Which of the following is correct relation for "g"::::--
a)G(4πp/3R²)
b)G(4πpR²/3)
c)G(4πp/3R)
d)G(4πp/3)
with explaination......​

Answer 1

Answer:

g = GM/R^2 (1)

here, M = mass of planet (Earth in this case)

Now, assuming that Earth is a sphere of uniform density,

M = (4/3pi×R^3) × p(rho) (2)

putting the above expression in (1),

g = G (4/3 pi × R^3 × p) / R^2

g = G 4/3 pi × R × p = G(4piRp)/3