Question

The escape velocity from earth is 11.2 km. Another planet is having mass 1000 times and radius 10 times that of earth, then escape velocity at that planet will be ____________.

Options

• 11.2 km/s

• 112 km/s

• 1.12 km/s

• 1120 km/s

Answer 1

The escape velocity from earth is 11.2 km. Another planet is having mass 1000 times and radius 10 times that of earth, then escape velocity at that planet will be 112 km/s.

Explanation:

`"Escape velocity" = sqrt((2"GM")/"R")`

`"For v"_1 = sqrt((2"GM"_e)/"R"_e) = 11.2`

`"v"_2 = sqrt((2"G" xx 1000 "M"_e)/(10"R"_e`

`10 sqrt((2"GM"_e)/"R"_e) = 10 xx 11.2 = 112  "km/s"`