GravitationHard

Question

Two spherical planets P and Q have the same uniform density ρ, masses MP and MQ and surface areas A and 4A respectively. A spherical planet R also has uniform density ρ and its mass is (MP + MQ). The escape velocities from the planets P, Q and R are VP, VQ and VR, respectively. Then

Options

A.VQ > VR > VP
B.VR > VQ > VP
C.VR / VP = 3
D.VP / VQ =

Solution


By calculation, if Mass of P = m
and Radius of P = R
Then Mass of Q = 8M
and radius of Q = 2R
and Mass of R = 9M
and radius of R = 91/3R



∴ VR > VQ = VP

Create a free account to view solution

View Solution Free
Topic: Gravitation·Practice all Gravitation questions

More Gravitation Questions

A small ball of mass ′m′ is released at a height ′R′ above the Earth surface, as shown in the fi...If the apparent weight of the bodies at the equator is to be zero, then the earth should rotate with angular velocity...A system of binary stars of masses mA and mB are moving in circular orbits of radii rA and rB respectively. If TA and TB...The intensity of gravitational field at a point situated at a distance 8000 km from the centre of Earth is 6.0 newton /k...Height of geostationary satellite is...