The little prince ( the main charcter of the novel written by Antione de saint-Exupery) lives on the spherical planet named `B-612`, the density of which is `5200kg//m^(3)`. The little prince noticed that if he quickens his pace, he feels himself ligheter. when he reached the speed of `2m//s` he became weightless, and began to orbit about the planet as a satellite. what is escape speed on the surface of planet?

Options

A. `2sqrt(2) m//s`
B. `2 m//s`
C. `4sqrt(2) m//s`
D. `8sqrt(2) m//s`

Answer

A

Explanation

Orbital speed `v_(0)=sqrt((GM)/R) 2=sqrt((GM)/R)`
Hence escape speed `v_(e)=sqrt((2Gm)/R)=2sqrt(2)m//s`