KVPY Government Jobs Exams

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

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KVPY Other Question

A circular metallic ring of radius R has a small gap of width d. The coefficient of thermal expansion of the metal is d in appropriate units. If we increase the temperature of the ring by a amount T, then width of the gap
(A) Will increases by an amount dT
(B) Will not change
(C) Will increases by an amojnt (2R d) T
(D) Will decrease by an amount dT 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