KVPY Government Jobs Exams

A solid cube and a solid sphere both made of same material are completely submerged in water but to different depths. The sphere and the cube have same surface area. The buoyant force is
(A) Greater for the cube than the sphere
(B) Greater for the sphere than the cube
(C) Same for the sphere and the cube
(D) Greater for the object that is submerged deeper

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KVPY Other Question
A girl holds a book of mass m against a vertical wall with a horizontal force F using her finger so that the book does not move. The frictional force on the book by the wall is
option
(A) F and along the finger but pointing towards the girl
(B) F upwards where is the coefficient of static friction
(C) mg and upwards
(D) Equal and opposite to the resultant of F and mg Which statements about the Rutherford model of the atom is NOT true ?
(A) There is a positively charged center in an atom called the nucleus
(B) Nearly all the mass of an atom resides in the nucleus
(C) Size of the nucleus is completely to the atom
(D) Electrons occupy the space surrounding the nucleus