Question

Calculate density of earth in relation to g and G​

Answer 1

Answer:

Solution

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Correct option is B)

The gravitational constant g is given as:

g=

R

2

GM

orM=

G

g×R

2

⇒Density D=

volume

mass

=

G×V

e

g×R

2

(Where V

e

is the volume of the earth )

D=

G×

3

4

πR

3

g×R

2

=

4πGR

3g

.

Hence, the average density of the earth in terms of g, G and R is

4πGR

3g

.