Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be : [2025]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be : [2025]

1 11.2

2 5.6

3 2.8

4 8.4

Ans.
(2)

$v_{escape} = \sqrt{\frac{2 G M}{R}}; M_{earth} = 8 M_{planet}; R_{earth} = 2 R_{planet}$

$\frac{v_{planet}}{v_{earth}} = \sqrt{\frac{M_{planet}}{M_{earth}} \times \frac{R_{earth}}{R_{planet}}}$

$v_{planet} = (11.2 km / s) \sqrt{\frac{1}{8} \times 2} = 5.6 km / s$

Want Us to Email you About Special Offers & Updates?