Question 132: Gravitation

Question

The escape velocity of a body on a planet 'A' is 12 kms
$$-$$1
. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is :

Accepted Answer

$${v_{esc}} - \sqrt {{{2GM} \over R}}  = \sqrt {{{2G} \over R} 	imes ho  	imes {4 \over 3}\pi {R^3}} $$
$$ \Rightarrow {v_{esc}} \propto R\sqrt ho  $$
$$ \Rightarrow {{{{({v_{esc}})}_B}} \over {{{({v_{esc}})}_A}}} = 1$$
$$ \Rightarrow {({v_{esc}})_B} = 12$$ km/s

Answer

12 kms
$$-$$1

Answer

24 kms
$$-$$1

Answer

36 kms
$$-$$1

Answer

6 kms
$$-$$1

Gravitation

The escape velocity of a body on a planet 'A' is 12 kms $-$1 . The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is :

Choose the correct answer: