Question

A planet has twice the density of earth but the acceleration due to gravity on its surface is exactly the same as on the surface of the earth. its radius in terms of radius of the earth R will be ?

Answer 1

Answer:

R/2

Explanation:

g=

R

2

GM

=

R

2

G(

3

4

πR

3

ρ)

or g∝ρR

g

1

=g

2

∴ρ

1

R

1

=ρ

2

R

2

or R

2

=

ρ

2

ρ

1

⋅R

1

=(

2

1

)R=

2

R

Answer 2

ANSWER IN THE ABOVE ATTACHMENT