Tiêu đề AIM Test - 5 + Answer Key.pdf ✅

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TOPIC COVERED Physics: Class 11th Complete Syllabus Chemistry: Class 11th Complete Syllabus Botany: Class 11th Complete Syllabus Zoology: Class 11th Complete Syllabus Duration: 3 hr 20 min Max Marks: 720 Date: 18/05/2022 General Instructions: • The test will contain 200 Questions of Physics, Chemistry, Botany, and Zoology & The test will be objective type. (Attempt only 180). • Every subject contains two Part A-35 Questions and Part B-15 Questions (Attempt only 10). • All 35 Questions of Part-A are Compulsory to attempt • Time given for test is 200 minutes. • Marking is +4 for every correct answer, –1 for every wrong answer. • You can reattempt the test in case of any technical issue. • Test will start at 2:00 pm and students can attempt test at any time of their own preferences PHYSICS SECTION - A 1. A force ˆ ˆ ˆ F i cj k = + + 3 2 acting on a particle cause a displacement ˆ ˆ ˆ S i j k = − + + 4 2 3 in its own direction. If the work done is 6J, then the value of c will be: (1) 12 (2) 6 (3) 1 (4) 0 2. Two racing car of masses m1 and m2 are moving in a circle of radius r1 and r2 respectively their speeds are such that each makes a complete circle in the same time t the ratio of the angular speed of the first to the second car will be: (1) m1 : m2 (2) 1 : 1 (3) r1 : 2r2 (4) r1 : r2 3. Two rods having thermal conductivity in the ratio of 5 : 3 having same length and equal cross- sectional area are join by face to face. If the temperature of the free end of the first rod is 100°C and the temperature of free end of the second rod is 20°C. Then temperature of junction will be: (1) 85°C (2) 90°C (3) 50°C (4) 70°C 4. If one mole of monoatomic gas  = 5 3 is mixed with one mole of diatomic gas  = 7 5 . The value of  for the mixtures is : (1) 2.5 (2) 1.5 (3) 1.8 (4) none of these 5. Two particles 1 and 2 are allowed to descend on the two functionless chord OA and OB of a vertical circle, at the same instant from point O. The ratio of the velocities of the particles 1 and 2 respectively, when they reach on the circumference will be (OB is the diameter): (1) sin a (2) tan a (3) cos a (4) none of these AIM NEET Part Test-05
6. The equation of state of one mole of some gases can be expressed as 2 ( ) . a P V b RT V     + − =   Here, P is the pressure, V is the volume, T is the absolute temperature and a, b, R are the constants. The dimensions of ‘a’ are: (1) [ML5 T –2 ] (2) [ML–1 T –2 ] (3) [ML3 T] (4) [ML6 T] 7. Two waves are represented by the equations, Y1 = A sin 10 X 15 2 t       −  +   and Y2 = 2A (30X + 45t) : Which of the following statement is correct? (1) The maximum particle velocity of the second wave is twice that of first. (2) Their super position will produce a standing wave (3) Maximum particle acceleration for the second wave is eighteen times that of the first wave. (4) Their wave velocities are different 8. A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at A, distant 2R from the centre of the sphere. A spherical cavity of radius R/2 is now made on the sphere as shown in the figure. The sphere with cavity now applies a gravitational force F2/F1 will be (1) 1 2 (2) 3 4 (3) 7 8 (4) 14 9 9. A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. The distance of P from the point C is (1) 2 3 l (2) 3 2 l (3) 4 3 l (4) l 10. A flywheel with a moment of inertia I starts from rest under the action of a constant torque τ. What is the angular velocity of the flywheel after it has rotated through n revolutions? (1) 4 n I   (2) 2 n I   (3) 4nI  (4) n I   11. A rope is wrapped around a solid cylinder of radius r and mass m (see figure). The cylinder is released from rest. The velocity of the centre of the cylinder after it has moved downward by a distance h is (1) 4 3 gh (2) 3 4 gh (3) 2gh (4) 2 3 gh 12. A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be [Neglect the mass and thickness of the string] (1) 20 rad/s2 (2) 16 rad/s2 (3) 12 rad/s2 (4) 10 rad/s2 13. A cubical block of side L rests on a rough horizontal surface with coefficient of friction μ. A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high, so that the block does not slide before toppling, the minimum force required to topple the block is (1) infinitesimal (2) mg/4 (3) mg/2 (4) mg(1 – μ) 14. A block of mass m is at rest under the action of force F against a wall as shown in the figure. Which of the following statement is incorrect? (1) f = mg, where f is the frictional force. (2) F = N, where N is the normal reaction. (3) F will not produce torque about centre of mass. (4) N will not produce torque about centre of mass.
15. A point initially at rest moves along X-axis. Its acceleration varies with time as a = (3t – 2) ms–2 . If it starts from origin, then the distance covered in 4s is (1) 12 m (2) 20 m (3) 15 m (4) 28 m 16. A block is dragged on a smooth plane with the help of a rope which moves with velocity v as shown in the figure. The horizontal velocity of the block is (1) v (2) v sin  (3) sin v  (4) cos v  17. A pipe of length 85 cm is closed from one end. The number of possible natural oscillations of air column in the pipe whose frequencies lie below 1250 Hz are (take, velocity of sound in air = 340 ras–1 ) (1) 5 (2) 4 (3) 6 (4) 10 18. A black body at a temperature of 127°C radiates heat at the rate of 9 cal cm–2 s –1 . At a temperature of 527°C the rate of heat radiated per unit area in cal cm–2 s –1 is (1) 80 (2) 120 (3) 144 (4) 180 19. A body of mass 4 kg is acted upon by a force which causes a displacement in it given by x = t 2 m, where t is time in second. The work done by force in 4s is (1) 64 J (2) 128 J (3) 200 J (4) 240 J 20. In a capillary tube, water rises to 4 mm. The height of water that will rise in another capillary tube having one-fourth radius of the first is (1) 16 mm (2) 14 mm (3) 12 mm (4) 9 mm 21. An observer moves towards a stationary source of sound with a velocity 1 5 th of the velocity of sound. The percentage increase in the apparent frequency is (1) 20% (2) 50% (3) 25% (4) 40% 22. A car starts from rest and move with uniform acceleration a on a straight road from time t = 0 to t = 5s. After that, a constant deceleration brings it to rest. In this process, the average speed of the car is (1) 5 2 a (2) 5a (3) 2 5 a (4) 25 2 a 23. Two capillary of lengths L and 2L and of radii R and 2R are connected in series. The net rate of flow of fluid through them will be (Given rate of the flow through single capillary, 4 8 pR X L  =  ) (1) 8/9 X (2) 7/5 X (3) 5/7 X (4) 8/5 X 24. Two bodies of masses 10 kg and 2 kg are moving with velocity ˆ ˆ ˆ ( 2 7 3 ) − + + i j k and ˆ ˆ ˆ (10 35 3 ), i j k − + respectively. The velocity of the centre of mass will be (1) ˆ 2k ms–1 (2) 2 ˆ j ms–1 (3) ˆ 3k ms–1 (4) 3 ˆ j ms–1 25. A projectile P is projected at an angle of 30° with the horizontal. If a second projectile  is projected such that their speeds are in ratio 3 : 1 for same maximum height, then the angle of projection of Q is (1) 1 3 sin 1 −       (2) 1 1 sin 3 −       (3) 1 3 sin 2 −       (4) 1 2 sin 3 −       26. A body of mass m1, moving with a velocity 3 ms–1 collides with another body at rest of mass m2. After collision, the velocities of the two bodies are 2 ms–1 and 5 ms–1 respectively, along the direction of motion of m1. The ratio of 1 2 m m is (1) 5 12 (2) 5 (3) 1 5 (4) 12 5