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
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
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 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
In the Arcitc region hemispherical houses called Igloos are made of ice. It is possible to maintain a temperature inside an Igloo as high as 20º C because
option
(A) Ice has high thermal conductivity
(B) Ice has low thermal conductivity
(C) Ice has high specific heat
(D) Ice has higher density than water
A boat crossing a river moves with a velocity v relative to still water. The river is flowing with a velocity v/2 with respect to the bank. The angle with respect to the flow direction with which the boat should move to minimize the drift is
option
(A) 30 degree
(B) 60 degree
(C) 150 degree
(D) 120 degree
Which of the following statements is true about the flow of electrons in an electric circuit ?
(A) Electrons always flow from lower to higher potential
(B) Electrons always flow from higher to lower potential
(C) Electrons flow from lower to higher potential except through power sources
(D) Electrons flow from higher to lower potential, except through power sources
A ball falls vertically downward and bounces off a horizontal floor. The speed of the ball just before reaching the floor (u1) is equal to the speed just after having contact with the floor (u2); u1 = u2 . The corresponding magnitudes of accelerations are denoted respectively by a1 and a2 . The air resistance during motion is proportional to speed and is not negligible. If g is acceleration due to gravity, then
option
(A) a1 < a2
(B) a1 > a2
(C) a1 = a2 g
(D) a1 = a2 = g
A clay ball of mass m and speed v strikes another metal ball. of same mass m, which is at rest. They stick together after collision. The kinetic energy of the system after collision is
Let S = {1, 2, 3, .., 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A ?
option
(A) 10
(B) 13
(C) 17
(D) 20