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FCT2013-14_CTY1315(Adv-Normal)_A-LOT_PHASE_II_PCM_I_CPT2-1_SET-A (1)

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8.A sphere of mass m and radius R is kept on a rough wedge. The inclination of a wedge is . The wedge is given an acceleration a in the horizontal direction as shown in the figure. If sphere is in rest state on wedge, then

(A) Acceleration of wedge is

(B) Acceleration of wedge is

P26

(C) Friction is zero

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(D) Normal reaction of sphere is

9.Some pieces of impurity (density = ) is embedded in ice. This ice is floating in water. (density = ). When ice melts, level of water will:

(A) fall if (B) remain unchanged, if

(C) fall if (D) rise if

P27

Space for rough work

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P28

10.Two identical spheres A and B are free to move and to rotate about their centers on smooth ground. They are given the same impulse J. The lines of action of the impulses pass through the center of A, and away from the center of B.

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(A) A and B will have the same speed.

P29

(B) B will have greater kinetic energy than A.

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P30

(C) They will have the same kinetic energy, but the linear kinetic energy of B will be less than that of A.

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P31

(D) The kinetic energy of B will depend on the point of impact of the impulse on B.

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P32

11.A man of mass 2m stands on a plank of mass m. The plank is lying on a smooth horizontal floor. Initially both are at rest. The man starts walking on the plank towards the east and stops after moving a distance l on the plank. Then

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P33

(A) center of mass of plank man system remains always stationary

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P34

(B) the plank will slide to the west by distance l/2

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P35

(C) the plank will slide to the west by a distance (2l/3)

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P36

(D) since, the floor is smooth, therefore, man cannot move on the plank

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P37

SECTION – A

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