The escape velocity for earth is v . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:NEET 2024 (Re-NEET)

Question

TestHub · Accepted Answer

Escape velopity of object from planet is given by ( v e ​ ) p ​ = R p ​ 2 G M p ​ ​ ​ ∴ ( v e ​ ) p ​ ∝ R p ​ M p ​ ​ ​ Now, M p ​ = 9 M e ​ and R p ​ = 16 R e ​ (given) ( v e ​ ) e ​ ( v e ​ ) p ​ ​ = R p ​ M p ​ ​ × M e ​ R e ​ ​ ​ = 16 R e ​ 9 M e ​ ​ × M e ​ R e ​ ​ ​ = 16 9 ​ ​ = 4 3 ​ ⇒ ( v e ​ ) p ​ = 4 3 ​ v

Physics - Gravitation Question with Solution | TestHub

Options:

Doubts & Discussion