The escape velocity for a planet is `v_e`. A particle starts from rest at a large distance from the planet, reaches the planet only under gravitational attraction, and passes through a smooth tunnel through its centre. Its speed at the centre of the planet will be

The escape velocity for a planet is v_e . A particle is projected from its surface with a speed v . For this particle to move as a satellite around the planet.

A large solid sphere with uniformly distributed positive charge has a smooth narrow tunnel along its direction. A small particle with negative charge, initially at rest far from the sphere, approaches it along the line of the tunnel, reaches its surface with a speed v , and passes through the tunnel. Its speed at the centre of the sphere will be

The escape velocity for a planet is upsilon_e . A particle is projected from its surface with a speed upsilon . For this particle to move as a satellite around the planet

The escape velocity from a planet is v_(0) . The escape velocity from a planet having twice the radius but same density will be

The escape velocity from a planet is v_(0) The escape velocity from a planet having twice the radius but same density will be