The kinetic energy needed to project a body of mass $$m$$ from the earth surface (radius $$R$$) to infinity is

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

Heat given to a body which raises its temperature by $${1^ \circ }C$$ is

If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should