KVPY Government Jobs Exams

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

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KVPY Other Question

A convex lens of focal length 15 cm is placed in front of a plane mirror at a distance 25 cm from the mirror. Where
on the optical axis and from the centre of the lens should a small object be placed such that the final image
coincides with the object ?
(A) 15 cm and on the opposite side of the mirror
(B) 15 cm and between the mirror and the lens
(C) 7.5 cm and on the opposite side of the mirror
(D) 7.5 cm and between the mirror and the lens
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