Home
Class 11
PHYSICS
There are two planets. The ratio of radi...

There are two planets. The ratio of radius of two planets is `k` but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity ?

A

`(kg)^(1//2)`

B

`(kg)^(-1//2)`

C

`(kg)^2`

D

`(kg)^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(v_(e_1))/(v_(e_2))=sqrt((2GM_1)/(R_1)xx(R_2)/(2GM_2))=sqrt(2g_1R_1xx1/(2g_2R_2))`
=`sqrt(gK)`
Promotional Banner

Similar Questions

Explore conceptually related problems

There are two planets. The ratio of radius of two planets is k but radio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity ?

There are two planets and the ratio of radius of the two planets is k but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocities ?

The ratio of radii of two satellites is p and the ratio of their acceleration due to gravity is q. the ratio if their escape velocities will be :

The ratio of the radii of planets A and B is k_(1) and ratio of acceleration due to gravity on them is k_(2) . The ratio of escape velocities from them will be

The ratio of the radii of the planets P_(1) and P_(2) is k. the ratio of the accelerationn due to gravity is r. the ratio of the escape velocities from them will be

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

Ratio of the radius of a planet A to that of planet B is r . The ratio of acceleration due to gravity for the two planets is x . The ratio of the escape velocities from the two planets is

The masses of two planets are in the ratio 1 : 2 . Their radii are in the ratio 1 : 2 . The acceleration due to gravity on the planets are in the ratio

The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in ratio