The ratio of masses of two planets is 2:3 and the ratio of their radii is 4:7 . Find the ratio of their acceleration due to gravity .

Explanation

The ratio of masses of two plantes `m_(1):m_(2)=2:3`
The ratio of two planets `R_(1):R_(2)=4:7`
Formula:
`g=(GM)/(R^(2))" "therefore g prop (M)/(R^(2))`
`(g_(1))/(g_(2))=(M_(1))/(M_(2)).(R_(2)^(2))/(R_(1)^(2))=(2)/(3)xx(7^(2))/(4^(2))=(2xx49)/(3xx16)=(98)/(48)`
`(g_(1))/(g_(2))=(49)/(24)`