Gravitation 2 Question 6
9. Two spherical planets and have the same uniform density , masses and , and surface areas and , respectively. A spherical planet also has uniform density and its mass is . The escape velocities from the planets and , are and , respectively. Then
(a)
(b)
(c)
(d)
(2012)
Show Answer
Answer:
Correct Answer: 9. (a)
Solution:
- Surface area of
is four times. Therefore, radius of is two times. Volume is eight times. Therefore, mass of is also eight times.
So, let
Then,
Now, mass of
From here we can see that,