What mountain whose peak is furthest from the center of the earth?
The mountain peak of Chimborazo is the farthest from the center of the earth. Chimborazo is 2.1 kilometers farther from the Earth's center compared to Everest.
If a hole is drilled to the center of the earth and a stone whose mass is 1 kilogram at the surface of the earth is dropped into it then what is the weight at the center of the earth?
The weight of an object is its mass times the acceleration of gravity. The acceleration of gravity at the center of the Earth is zero. A 1 kg mass at the center of the Earth still has a mass of 1 kg, but the force of attraction between the 1kg mass and all the other mass around it will add up to zero.