Tiêu đề AITS 01 QUESTION PAPER.pdf ✅

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DATE: 29/01/2023 Physics : Basic Maths, Vector, Mo on in a Straight Line, Mo on in a Plane, Laws of Mo on Chemistry : Some Basic Concepts of Chemistry, Atomic Structure, IUPAC Nomenclature, Isomerism Botany : Cell: Unit of life, Cell Cycle, Living World Zoology : Structural Organisa on in Animals, Diges on and Absorp on, Breathing and Exchange of Gases Part Test – 01 E
SPACE FOR ROUGH WORK [2] SECTION-I (PHYSICS) SECTION - A 1. A particle moving on a circular path with constant speed then its acceleration will be: (1) Zero (2) Outward radial acceleration (3) Inward radial acceleration (4) Constant acceleration 2. A cricketer can throw a ball to a maximum horizontal distance of 180 m. The speed with which he throws the ball is: (1) 35 m/s (2) 30 m/s (3) 40 m/s (4) 42 m/s 3. Two equal forces are acting at a point with an angle of 60° between them. If the resultant force is equal to 40√3 N, then magnitude of each force is (1) 40 N (2) 20 N (3) 80 N (4) 30 N 4. A particle moves in a straight line, its position (in m) as function of time is given by x = (at2 + b). What is average velocity in time interval t = 3s to t = 5 sec? (Where a and b are constants and a = 1 m/s2 , b = 1m) (1) 8 m/s (2) 5 m/s (3) 10 m/s (4) 12 m/s 5. The range of a projectile is R when the angle of projection is 40°. For the same velocity of projection and range, the other possible angle of projection is (1) 45° (2) 50° (3) 60° (4) 40° 6. Two trains each 50m long, are travelling in opposite directions with respective velocities 10 m/s and 15 m/s. The time of crossing is:- (1) 2 s (2) 4 s (3) 2√3 s (4) 4√3 s 7. A bomber plane moves horizontally with a speed of 500 ms–1 and a bomb released from it, strikes the ground in 10 s. Angle at which it strikes the ground will be {g =10 ms–2 ) (1) tan–1 1 5       (2) 1 1 tan 2 −       (3) tan–1 (1) (4) tan–1 (5) 8. A cricket ball is hit for a six by the bat at an angle of 45° to the horizontal with kinetic energy K. At the highest point, the kinetic energy of the ball is (1) zero (2) K (3) K/2 (4) K/√2 9. The position vector of a particle is r = a sin t î+ a cos t ĵ The velocity of the particle is (1) parallel to position vector (2) perpendicular to position vector (3) directed towards origin (4) directed away from the origin
SPACE FOR ROUGH WORK [3] 10. A particle moves in xy-plane from positions (2m, 4m) to (6m, 8m) in 2s. Magnitude and direction of average velocity is (1) √2 ms–1 and 45° (2) 2√2 ms–1 and 45° (3) 4√2 ms–1 and 30° (4) 3√2 ms–1 and 60° 11. The x and y coordinates of the particle at any time are x = 5t – 2t 2 and y = 10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t = 2 s is (1) 5 ms–2 (2) – 4 ms–2 (3) –8 ms–2 (4) 0 12. Three projectiles A, B and C are thrown from the same point in the same plane. Their trajectories are shown in the figure. Then which of the following statement is true ? (1) The time of flight is the same for all the three (2) The launch speed is greatest for particle C (3) The horizontal velocity component is greatest for particle C (4) All of the above 13. A block of mass 4 kg is suspended through two light spring balances A and B in series. Then A and B will read respectively. (1) 4 kg and zero kg (2) zero kg and 4 kg (3) 4 kg and 4 kg (4) 2 kg and 2 kg 14. A river is flowing at the rate of 6 km/h. A swimmer swims across the river with a velocity of 9 km/h w.r.t. water. The resultant velocity of the man will be in (km/h) : (1) √117 (2) √340 (3) √17 (4) 3√40 15. Two particles are separated by a horizontal distance x as shown in figure. They are projected as shown in figure with different initial speeds. The time after which the horizontal distance between them becomes zero is (1) x u (2) 2 x u (3) 2u x (4) None of these 16. The vector ˆ ˆ ˆ P ai aj 3k = + + and Q ai 2j k ˆ ˆ ˆ = − − are perpendicular to each other. The positive value of a is (1) 3 (2) 4 (3) 9 (4) 13 17. A particle moves along a path ABCD as shown in the figure. Then the magnitude of net displacement of the particle from position A to D is: (1) 10 m (2) 5 2m (3) 9 m (4) 7 2m