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Find the ratio of escape velocities of t...

Find the ratio of escape velocities of two planets if values of g on the two planets are `9.8 m//s^(2)` and `3.3 m//s^(2)` and ther radii are 6400 km and 3400 km respectively.

Text Solution

Verified by Experts

The escape velocity in times of g and R is
The ratio of escape velocities `(V_(e1))/(V_(e2)) = sqrt((g_(1)R_(1))/(g_(2)R_(2)))`
`(V_(e1))/(V_(e2)) = sqrt(((9.8)/(3.3))((6400)/(3400))) = (2.364)/(1)`
`V_(e1) : V_(e2) = 2.364:1`.
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