Average density of the earth:

    <p>2. Average density of the earth:</p>

    Question:

    2. Average density of the Earth:

    • a) does not depend on g
    • b) is a complex function of g
    • c) is directly proportional to g
    • d) is inversely proportional to g

    Answer:

    2. (b) Acceleration due to gravity g = GM / R2, M = (4/3)πR3ρ

    ∴ g = (4G / 3) × (πR3 / R2) ρ

    ⟹ g = (4GπR / 3) ρ (ρ = average density)

    ⟹ g ∝ ρ or ρ ∝ g

    Verified by Bookflicker Expert