For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

Question

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be (A) 11.2 km/ sec (B) 22.4 km/ sec (C) 5.6 km/ sec (D) 44.8 km/ sec

Tardigrade Admin · Accepted Answer

ve=√2 g R=√(2 G M/R) If R is 1 / 4 th then ve=2 ve- text earth =2 × 11.2=22.4 km / sec.

Q. For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth.
Then escape velocity for this planet will be

$11.2 km / sec$

$22.4 km / sec$

$5.6 km / sec$

$44.8 km / sec$

$v_{e} = 2 g R = \frac{2 GM}{R}$
If $R$ is $1/4$ th then $v_{e} = 2 v_{e - earth}$
$= 2 \times 11.2 = 22.4 km / sec$ .

Q. For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

11.2km/sec

22.4km/sec

5.6km/sec

44.8km/sec