Question

The ratio of the radii of the planets `P_(1)` and `P_(2)` is a the ratio of their acceleraton due to gravity is b the ratio of the escape velocity form them will be
A. ab
B. `sqrt(ab)`
C. `sqrt(a//b)`
D. `sqrt(b//a)`

Answer 1

Correct Answer - B
As `(V_(e)P_(1))/(v_(e))P_(2)=sqrt(2g_(1)R_(1))/(2g_(2)R_(2))=sqrt(g_(1))/(g_(2))xx(R_(1))/(R_(2))=sqrt(ab)`