Question

8. If g denoted the acceleration due to gravity at a point distant r from the centre of earth

of radius R then if r<R, then:

a. g ∝ 1/r^2

b. g ∝ 1/r

c. g ∝ r

d. g ∝ r^2​

Answer 1

Question:

If g denoted the acceleration due to gravity at a point distant r from the centre of earth of radius R then if r<R, then:

• g ∝ 1/r^2
• g ∝ 1/r
• g ∝ r ✔︎
• g ∝ r^2

Explanation:

According to the question,

• Acceleration due to gravity is denoted by ‘g’.
• Acceleration due to gravity at a point distance r fr the centre of the earth of radius R then if r<R then : ?

We know that,

Inside the earth $\sf g' = \bigg( \dfrac{4}{3} \bigg) \pi Gr$

$\qquad \quad \longrightarrow g' \propto r$

$\qquad \quad \longrightarrow g \propto r$

Answer 2

Question:

If g denoted the acceleration due to gravity at a point distant r from the centre of earth of radius R then if r<R, then:

g ∝ 1/r^2

g ∝ 1/r

g ∝ r ✔︎

g ∝ r^2

Explanation:

According to the question,

Acceleration due to gravity is denoted by ‘g’.

Acceleration due to gravity at a point distance r fr the centre of the earth of radius R then if r<R then : ?

We know that,

Inside the earth $\sf g' = \bigg( \dfrac{4}{3} \bigg) \pi Gr$

$\qquad \quad \longrightarrow g' \propto r$

$\qquad \quad \longrightarrow g \propto r$