Page 1 (1) PHYSICS Topics Covered in Various Subjects : Physics : Mathematical tools, Physical world, Units and Measurements; Motion in a Straight line; Motion in a plane Chemistry : Some basic Concepts of Chemistry; Structure of Atom; Classification of elements and periodicity in properties; Chemical Bonding and molecular structure Botany : Living world; Biological Classification Zoology : Animal Kingdom : (a) General account and Non-chordates Incl. Protozoa MM : 800 Regular Classroom Test - 1 Time : 3 Hrs. (REGULAR MEDICAL - 201 1) 13/10/2010 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE-D 1. The given plot shows the variation of y with respect to x. Find dy dx 45° y x (1) 1 (2) – 1 (3) 1 2 (4) – 1 2 2. If radius of a circle increases by 20%, the percentage increase in the area enclosed by it will be (1) 40% (2) 44% (3) 60% (4) 80% 3. What happens to the slope of tangent to the curve shown in figure as the value of t increases? x t (1) Increases (2) Decreases (3) Remains same (4) First increases then decreases 4. Exchange particle in electromagnetic force is (1) Photon (2) Granton (3) Meson (4) Gluon 5. Which of the following has electromagnetic origin? (1) T ension (2) Normal reaction (3) Sliding friction (4) All of these 6. If a body of rest mass m has kinetic energy E, then its total energy is (1) E – mc 2 (2) mc 2 (3) E (4) E + mc 2 Choose the correct answer : Page 2 (1) PHYSICS Topics Covered in Various Subjects : Physics : Mathematical tools, Physical world, Units and Measurements; Motion in a Straight line; Motion in a plane Chemistry : Some basic Concepts of Chemistry; Structure of Atom; Classification of elements and periodicity in properties; Chemical Bonding and molecular structure Botany : Living world; Biological Classification Zoology : Animal Kingdom : (a) General account and Non-chordates Incl. Protozoa MM : 800 Regular Classroom Test - 1 Time : 3 Hrs. (REGULAR MEDICAL - 201 1) 13/10/2010 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE-D 1. The given plot shows the variation of y with respect to x. Find dy dx 45° y x (1) 1 (2) – 1 (3) 1 2 (4) – 1 2 2. If radius of a circle increases by 20%, the percentage increase in the area enclosed by it will be (1) 40% (2) 44% (3) 60% (4) 80% 3. What happens to the slope of tangent to the curve shown in figure as the value of t increases? x t (1) Increases (2) Decreases (3) Remains same (4) First increases then decreases 4. Exchange particle in electromagnetic force is (1) Photon (2) Granton (3) Meson (4) Gluon 5. Which of the following has electromagnetic origin? (1) T ension (2) Normal reaction (3) Sliding friction (4) All of these 6. If a body of rest mass m has kinetic energy E, then its total energy is (1) E – mc 2 (2) mc 2 (3) E (4) E + mc 2 Choose the correct answer : (2) 7. The parallax of a heavenly body measured from two points diametrically opposite on earth’s equator is ? radian. Find the distance of the heavenly body from centre of earth in metres. Given radius of earth is R metre (1) 2R ? (2) R ? (3) 2 R ? (4) 2R ? 8. (1) 1 (2) 1 2 (3) 2 (4) 9. Which of the following is not a unit of a fundamental quantity? (1) ampere (2) steradian (3) candela (4) kelvin 10. The dimensional formula of thermal resistance is (1) [ML 2 T –3 K –1 ] (2) [M –1 L –2 T 3 K] (3) [M –1 L 2 T –3 K –1 ] (4) [M –1 L –2 T –3 K] 11. Which of the following quantities can be written in SI units in kg m 2 s –3 ? (1) Power (2) Work (3) Energy (4) Momentum 12. If velocity v, acceleration a and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, a and F would be (1) [F 2 a –1 v 2 ] (2) [Fv 3 a –2 ] (3) [Fv 2 a –1 ] (4) [Fa –1 v] 13. A particle moves with uniform velocity, if (1) It has a constant acceleration (2) It covers equal distance in equal intervals of time in the same direction (3) Distances covered in successive seconds increase by same amount (4) Acceleration is perpendicular to the direction of motion 14. A train of length 200 m is moving with a uniform velocity of 20 m/s. The time taken by the train to cross a bridge of length 800 m will be (1) 50 s (2) 40 s (3) 60 s (4) 30 s 15. A body starts from rest and moves along a straight line with uniform acceleration such that its displacement in the first second is 5 m. Displacement of the body in 5th second is (1) 15 m (2) 25 m (3) 35 m (4) 45 m 16. A motorcyclist going round in a circular track at constant speed has (1) Constant linear velocity (2) Constant acceleration (3) Acceleration of constant magnitude with its direction changing (4) Constant force 17. Which of the following statements is incorrect? (1) Displacement is a vector quantity (2) Distance covered is always less than displacement (3) Distance is scaler (4) Distance can’t be negative 18. The velocity v varies with position x as v = bx , where ‘b’ is a constant. The acceleration is (1) 2b (2) b 2 (3) b (4) 19. If speed of boat with respect to water is 5 m/s and speed of river current is 3 m/s, then speed of the boat when moving downstream is (1) 8 m/s (2) 2 m/s (3) 5 m/s (4) Zero 20. The initial and final velocities and acceleration of a particle in three situations are (a) 4 m/s, 5 m/s, 1 m/s 2 (b) –4 m/s, 5 m/s, 2 m/s 2 (c) 4 m/s, –5 m/s, 3 m/s 2 . If d a , d b , d c be the magnitudes of particles displacement in above three situations then (1) d a > d b > d c (2) d a > d c > d b (3) d a < d b < d c (4) d a < d c < d b 21. Driver of a car travelling at 20 m/s spot a kid 100 m ahead of him. The minimum retardation with which he will apply brakes to save the kid is (1) 1 m/s 2 (2) 2 m/s 2 (3) 3 m/s 2 (4) 4 m/s 2 Page 3 (1) PHYSICS Topics Covered in Various Subjects : Physics : Mathematical tools, Physical world, Units and Measurements; Motion in a Straight line; Motion in a plane Chemistry : Some basic Concepts of Chemistry; Structure of Atom; Classification of elements and periodicity in properties; Chemical Bonding and molecular structure Botany : Living world; Biological Classification Zoology : Animal Kingdom : (a) General account and Non-chordates Incl. Protozoa MM : 800 Regular Classroom Test - 1 Time : 3 Hrs. (REGULAR MEDICAL - 201 1) 13/10/2010 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE-D 1. The given plot shows the variation of y with respect to x. Find dy dx 45° y x (1) 1 (2) – 1 (3) 1 2 (4) – 1 2 2. If radius of a circle increases by 20%, the percentage increase in the area enclosed by it will be (1) 40% (2) 44% (3) 60% (4) 80% 3. What happens to the slope of tangent to the curve shown in figure as the value of t increases? x t (1) Increases (2) Decreases (3) Remains same (4) First increases then decreases 4. Exchange particle in electromagnetic force is (1) Photon (2) Granton (3) Meson (4) Gluon 5. Which of the following has electromagnetic origin? (1) T ension (2) Normal reaction (3) Sliding friction (4) All of these 6. If a body of rest mass m has kinetic energy E, then its total energy is (1) E – mc 2 (2) mc 2 (3) E (4) E + mc 2 Choose the correct answer : (2) 7. The parallax of a heavenly body measured from two points diametrically opposite on earth’s equator is ? radian. Find the distance of the heavenly body from centre of earth in metres. Given radius of earth is R metre (1) 2R ? (2) R ? (3) 2 R ? (4) 2R ? 8. (1) 1 (2) 1 2 (3) 2 (4) 9. Which of the following is not a unit of a fundamental quantity? (1) ampere (2) steradian (3) candela (4) kelvin 10. The dimensional formula of thermal resistance is (1) [ML 2 T –3 K –1 ] (2) [M –1 L –2 T 3 K] (3) [M –1 L 2 T –3 K –1 ] (4) [M –1 L –2 T –3 K] 11. Which of the following quantities can be written in SI units in kg m 2 s –3 ? (1) Power (2) Work (3) Energy (4) Momentum 12. If velocity v, acceleration a and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, a and F would be (1) [F 2 a –1 v 2 ] (2) [Fv 3 a –2 ] (3) [Fv 2 a –1 ] (4) [Fa –1 v] 13. A particle moves with uniform velocity, if (1) It has a constant acceleration (2) It covers equal distance in equal intervals of time in the same direction (3) Distances covered in successive seconds increase by same amount (4) Acceleration is perpendicular to the direction of motion 14. A train of length 200 m is moving with a uniform velocity of 20 m/s. The time taken by the train to cross a bridge of length 800 m will be (1) 50 s (2) 40 s (3) 60 s (4) 30 s 15. A body starts from rest and moves along a straight line with uniform acceleration such that its displacement in the first second is 5 m. Displacement of the body in 5th second is (1) 15 m (2) 25 m (3) 35 m (4) 45 m 16. A motorcyclist going round in a circular track at constant speed has (1) Constant linear velocity (2) Constant acceleration (3) Acceleration of constant magnitude with its direction changing (4) Constant force 17. Which of the following statements is incorrect? (1) Displacement is a vector quantity (2) Distance covered is always less than displacement (3) Distance is scaler (4) Distance can’t be negative 18. The velocity v varies with position x as v = bx , where ‘b’ is a constant. The acceleration is (1) 2b (2) b 2 (3) b (4) 19. If speed of boat with respect to water is 5 m/s and speed of river current is 3 m/s, then speed of the boat when moving downstream is (1) 8 m/s (2) 2 m/s (3) 5 m/s (4) Zero 20. The initial and final velocities and acceleration of a particle in three situations are (a) 4 m/s, 5 m/s, 1 m/s 2 (b) –4 m/s, 5 m/s, 2 m/s 2 (c) 4 m/s, –5 m/s, 3 m/s 2 . If d a , d b , d c be the magnitudes of particles displacement in above three situations then (1) d a > d b > d c (2) d a > d c > d b (3) d a < d b < d c (4) d a < d c < d b 21. Driver of a car travelling at 20 m/s spot a kid 100 m ahead of him. The minimum retardation with which he will apply brakes to save the kid is (1) 1 m/s 2 (2) 2 m/s 2 (3) 3 m/s 2 (4) 4 m/s 2 (3) 22. The velocity-time graph for two cars moving on a horizontal straight road are shown in the following figure. The car A appears at rest to the driver of car B at A B O 12 3 4 time (h) Velocity (1) t = 1 h (2) t = 2 h (3) t = 3 h (4) t = 4 h 23. A body is projected vertically upward with speed 40 m/s. The distance travelled by it during third half second of its downward journey will be (1) 2.75 m (2) 5 m (3) 6.25 m (4) 8.75 m 24. Acceleration versus time graph of a body moving on a straight line is as shown in figure. Which of the following about the motion of body is correct? a t O (1) Velocity goes on increasing (2) Velocity goes on decreasing (3) Velocity first increases then decreases (4) Velocity first decreases then increases 25. Equation of motion of a body travelling along x-axis is given by x = t 2 – 20t + 5. Average speed of the body in the interval t = 0 s to t = 20 s is (1) 10 m/s (2) Zero (3) 15 m/s (4) 9.5 m/s 26. A ball is dropped from a balloon at a height 80 m, when its velocity is 30 m/s in upwards direction. The time after which the ball will hit the ground is (1) 8 s (2) 3 s (3) 2 s (4) 10 s 27. A particle is projected with speed 20 m/s at an angle 30° with horizontal from ground. Its speed when it is at a height of 2.5 m from ground will be (1) 18.7 m/s (2) 17.8 m/s (3) 10 m/s (4) 14 m/s 28. Select the situation in which speed of a particle moving along a straight line decreases? (1) v is positive and a is also positive (2) v is negative and a is also negative (3) v is zero and a is positive (4) v is negative and a is positive 29. A particle starts from rest, with acceleration a = 2(t – 1). The velocity of the particle at t = 3 s is (1) 2 m/s (2) 6 m/s (3) 8 m/s (4) 3 m/s 30. If velocity (v) of a particle varies with time (t) as shown in the figure below, then acceleration (a) varies with time as O v t (s) 5 10 (1) a O t (s) 510 (2) a O t (s) 510 (3) a O t (s) 5 10 (4) a O t (s) 510 31. If an average acceleration of 500 m/s 2 acts on a body for time 0.05 s, what will be change in velocity? (1) 50 ms –1 (2) 25 ms –1 (3) 75 ms –1 (4) 100 ms –1 32. If , AB uru r and C u r are three vectors such that 0 ? ? ? ? ? ? ? C B A and A = 3, B = 5 and C = 7. The angle between A u r and B u r is (1) 30° (2) 45° (3) 60° (4) 90° 33. A body is thrown so as to have a maximum possible range R. Its maximum height during the motion is (1) R (2) R/2 (3) R/4 (4) 2R 34. A car is moving on a circular path of radius 100 m such that its speed is increasing at a rate of 4 m/s every second. The angle between velocity and linear acceleration of the car when its speed is 20 m/s must be (1) Zero (2) 37° (3) 45° (4) 90° 35. Which of the following is constant in projectile motion? (1) Acceleration (2) Horizontal component of velocity (3) Rate of change of momentum (4) All of these Page 4 (1) PHYSICS Topics Covered in Various Subjects : Physics : Mathematical tools, Physical world, Units and Measurements; Motion in a Straight line; Motion in a plane Chemistry : Some basic Concepts of Chemistry; Structure of Atom; Classification of elements and periodicity in properties; Chemical Bonding and molecular structure Botany : Living world; Biological Classification Zoology : Animal Kingdom : (a) General account and Non-chordates Incl. Protozoa MM : 800 Regular Classroom Test - 1 Time : 3 Hrs. (REGULAR MEDICAL - 201 1) 13/10/2010 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE-D 1. The given plot shows the variation of y with respect to x. Find dy dx 45° y x (1) 1 (2) – 1 (3) 1 2 (4) – 1 2 2. If radius of a circle increases by 20%, the percentage increase in the area enclosed by it will be (1) 40% (2) 44% (3) 60% (4) 80% 3. What happens to the slope of tangent to the curve shown in figure as the value of t increases? x t (1) Increases (2) Decreases (3) Remains same (4) First increases then decreases 4. Exchange particle in electromagnetic force is (1) Photon (2) Granton (3) Meson (4) Gluon 5. Which of the following has electromagnetic origin? (1) T ension (2) Normal reaction (3) Sliding friction (4) All of these 6. If a body of rest mass m has kinetic energy E, then its total energy is (1) E – mc 2 (2) mc 2 (3) E (4) E + mc 2 Choose the correct answer : (2) 7. The parallax of a heavenly body measured from two points diametrically opposite on earth’s equator is ? radian. Find the distance of the heavenly body from centre of earth in metres. Given radius of earth is R metre (1) 2R ? (2) R ? (3) 2 R ? (4) 2R ? 8. (1) 1 (2) 1 2 (3) 2 (4) 9. Which of the following is not a unit of a fundamental quantity? (1) ampere (2) steradian (3) candela (4) kelvin 10. The dimensional formula of thermal resistance is (1) [ML 2 T –3 K –1 ] (2) [M –1 L –2 T 3 K] (3) [M –1 L 2 T –3 K –1 ] (4) [M –1 L –2 T –3 K] 11. Which of the following quantities can be written in SI units in kg m 2 s –3 ? (1) Power (2) Work (3) Energy (4) Momentum 12. If velocity v, acceleration a and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, a and F would be (1) [F 2 a –1 v 2 ] (2) [Fv 3 a –2 ] (3) [Fv 2 a –1 ] (4) [Fa –1 v] 13. A particle moves with uniform velocity, if (1) It has a constant acceleration (2) It covers equal distance in equal intervals of time in the same direction (3) Distances covered in successive seconds increase by same amount (4) Acceleration is perpendicular to the direction of motion 14. A train of length 200 m is moving with a uniform velocity of 20 m/s. The time taken by the train to cross a bridge of length 800 m will be (1) 50 s (2) 40 s (3) 60 s (4) 30 s 15. A body starts from rest and moves along a straight line with uniform acceleration such that its displacement in the first second is 5 m. Displacement of the body in 5th second is (1) 15 m (2) 25 m (3) 35 m (4) 45 m 16. A motorcyclist going round in a circular track at constant speed has (1) Constant linear velocity (2) Constant acceleration (3) Acceleration of constant magnitude with its direction changing (4) Constant force 17. Which of the following statements is incorrect? (1) Displacement is a vector quantity (2) Distance covered is always less than displacement (3) Distance is scaler (4) Distance can’t be negative 18. The velocity v varies with position x as v = bx , where ‘b’ is a constant. The acceleration is (1) 2b (2) b 2 (3) b (4) 19. If speed of boat with respect to water is 5 m/s and speed of river current is 3 m/s, then speed of the boat when moving downstream is (1) 8 m/s (2) 2 m/s (3) 5 m/s (4) Zero 20. The initial and final velocities and acceleration of a particle in three situations are (a) 4 m/s, 5 m/s, 1 m/s 2 (b) –4 m/s, 5 m/s, 2 m/s 2 (c) 4 m/s, –5 m/s, 3 m/s 2 . If d a , d b , d c be the magnitudes of particles displacement in above three situations then (1) d a > d b > d c (2) d a > d c > d b (3) d a < d b < d c (4) d a < d c < d b 21. Driver of a car travelling at 20 m/s spot a kid 100 m ahead of him. The minimum retardation with which he will apply brakes to save the kid is (1) 1 m/s 2 (2) 2 m/s 2 (3) 3 m/s 2 (4) 4 m/s 2 (3) 22. The velocity-time graph for two cars moving on a horizontal straight road are shown in the following figure. The car A appears at rest to the driver of car B at A B O 12 3 4 time (h) Velocity (1) t = 1 h (2) t = 2 h (3) t = 3 h (4) t = 4 h 23. A body is projected vertically upward with speed 40 m/s. The distance travelled by it during third half second of its downward journey will be (1) 2.75 m (2) 5 m (3) 6.25 m (4) 8.75 m 24. Acceleration versus time graph of a body moving on a straight line is as shown in figure. Which of the following about the motion of body is correct? a t O (1) Velocity goes on increasing (2) Velocity goes on decreasing (3) Velocity first increases then decreases (4) Velocity first decreases then increases 25. Equation of motion of a body travelling along x-axis is given by x = t 2 – 20t + 5. Average speed of the body in the interval t = 0 s to t = 20 s is (1) 10 m/s (2) Zero (3) 15 m/s (4) 9.5 m/s 26. A ball is dropped from a balloon at a height 80 m, when its velocity is 30 m/s in upwards direction. The time after which the ball will hit the ground is (1) 8 s (2) 3 s (3) 2 s (4) 10 s 27. A particle is projected with speed 20 m/s at an angle 30° with horizontal from ground. Its speed when it is at a height of 2.5 m from ground will be (1) 18.7 m/s (2) 17.8 m/s (3) 10 m/s (4) 14 m/s 28. Select the situation in which speed of a particle moving along a straight line decreases? (1) v is positive and a is also positive (2) v is negative and a is also negative (3) v is zero and a is positive (4) v is negative and a is positive 29. A particle starts from rest, with acceleration a = 2(t – 1). The velocity of the particle at t = 3 s is (1) 2 m/s (2) 6 m/s (3) 8 m/s (4) 3 m/s 30. If velocity (v) of a particle varies with time (t) as shown in the figure below, then acceleration (a) varies with time as O v t (s) 5 10 (1) a O t (s) 510 (2) a O t (s) 510 (3) a O t (s) 5 10 (4) a O t (s) 510 31. If an average acceleration of 500 m/s 2 acts on a body for time 0.05 s, what will be change in velocity? (1) 50 ms –1 (2) 25 ms –1 (3) 75 ms –1 (4) 100 ms –1 32. If , AB uru r and C u r are three vectors such that 0 ? ? ? ? ? ? ? C B A and A = 3, B = 5 and C = 7. The angle between A u r and B u r is (1) 30° (2) 45° (3) 60° (4) 90° 33. A body is thrown so as to have a maximum possible range R. Its maximum height during the motion is (1) R (2) R/2 (3) R/4 (4) 2R 34. A car is moving on a circular path of radius 100 m such that its speed is increasing at a rate of 4 m/s every second. The angle between velocity and linear acceleration of the car when its speed is 20 m/s must be (1) Zero (2) 37° (3) 45° (4) 90° 35. Which of the following is constant in projectile motion? (1) Acceleration (2) Horizontal component of velocity (3) Rate of change of momentum (4) All of these (4) 36. Angle between velocity and acceleration at the highest point of path of projectile thrown at speed 100 m/s at an angle 60º with horizontal is (1) 0 (2) 60º (3) 90º (4) 120º 37. In the situation shown in figure, the three concurrent forces , and keep point in equilibrium then (1) (2) 3 12 cos cos cos ?? ?? ? F FF (3) 3 12 cosec cosec cosec ?? ?? ? F FF (4) 3 12 sec sec sec ?? ?? ? F FF 38. A man can swim with speed 2 km/h in a river having width 500 m. Velocity of flow of water is 5 km/h parallel to banks of river. The minimum time taken by the man to pass the river is (1) 10 minute (2) 12 minute (3) 15 minute (4) 20 minute 39. The equation of trajectory of an oblique projectile projected from origin is 2 11 2 3 yx gx ?? , where x-axis is along horizontal and y-axis is along vertical. The angle of projection with horizontal is (1) 60º (2) 30º (3) 45º (4) 90º 40. Two particles A and B are thrown from the top of a tower simultaneously with equal speed at complementary angles of projection. Path of A w.r.t. B is (1) Straight line (2) Parabola (3) Ellipse (4) Hyperbola 41. In the given diagram, a sphere of mass m = 1 kg is at rest inside a block and the assembly is revolving in a horizontal circle of radius r = 10m with constant angular velocity ? = 1 rad/s. The acceleration of the sphere is m (1) 10 m/s 2 (2) 20 m/s 2 (3) 1 m/s 2 (4) 40 m/s 2 42. A projectile is fired at 45° above horizontal. The ratio of kinetic energy at top-most point to that at initial point will be (1) 1: 2 (2) 2:1 (3) 1 : 2 (4) 2 : 1 43. A particle is projected from ground for maximum horizontal range 500 m. The horizontal distance travelled from point of projection at the instant at which its instantaneous velocity is normal to initial velocity will be (1) 125 m (2) 250 m (3) 375 m (4) 500 m 44. Position-time graph of a body of mass 2 kg moving along x-axis is as shown in figure. The change in velocity the body at the instant t = 1 s is 10 m 1s x O t (1) –20 ms –1 (2) 20 ms –1 (3) –10 ms –1 (4) 10 ms –1 45. Angular velocity of B w.r.t. A at the instant shown is 30º 20 m/s A B 10 m (1) 2 rad s –1 (2) 5 rad s –1 (3) 1 rad s –1 (4) Zero Page 5 (1) PHYSICS Topics Covered in Various Subjects : Physics : Mathematical tools, Physical world, Units and Measurements; Motion in a Straight line; Motion in a plane Chemistry : Some basic Concepts of Chemistry; Structure of Atom; Classification of elements and periodicity in properties; Chemical Bonding and molecular structure Botany : Living world; Biological Classification Zoology : Animal Kingdom : (a) General account and Non-chordates Incl. Protozoa MM : 800 Regular Classroom Test - 1 Time : 3 Hrs. (REGULAR MEDICAL - 201 1) 13/10/2010 Regd. Office : Aakash T ower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472 Premier Institute in India for Medical Entrance Exams. RM CODE-D 1. The given plot shows the variation of y with respect to x. Find dy dx 45° y x (1) 1 (2) – 1 (3) 1 2 (4) – 1 2 2. If radius of a circle increases by 20%, the percentage increase in the area enclosed by it will be (1) 40% (2) 44% (3) 60% (4) 80% 3. What happens to the slope of tangent to the curve shown in figure as the value of t increases? x t (1) Increases (2) Decreases (3) Remains same (4) First increases then decreases 4. Exchange particle in electromagnetic force is (1) Photon (2) Granton (3) Meson (4) Gluon 5. Which of the following has electromagnetic origin? (1) T ension (2) Normal reaction (3) Sliding friction (4) All of these 6. If a body of rest mass m has kinetic energy E, then its total energy is (1) E – mc 2 (2) mc 2 (3) E (4) E + mc 2 Choose the correct answer : (2) 7. The parallax of a heavenly body measured from two points diametrically opposite on earth’s equator is ? radian. Find the distance of the heavenly body from centre of earth in metres. Given radius of earth is R metre (1) 2R ? (2) R ? (3) 2 R ? (4) 2R ? 8. (1) 1 (2) 1 2 (3) 2 (4) 9. Which of the following is not a unit of a fundamental quantity? (1) ampere (2) steradian (3) candela (4) kelvin 10. The dimensional formula of thermal resistance is (1) [ML 2 T –3 K –1 ] (2) [M –1 L –2 T 3 K] (3) [M –1 L 2 T –3 K –1 ] (4) [M –1 L –2 T –3 K] 11. Which of the following quantities can be written in SI units in kg m 2 s –3 ? (1) Power (2) Work (3) Energy (4) Momentum 12. If velocity v, acceleration a and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, a and F would be (1) [F 2 a –1 v 2 ] (2) [Fv 3 a –2 ] (3) [Fv 2 a –1 ] (4) [Fa –1 v] 13. A particle moves with uniform velocity, if (1) It has a constant acceleration (2) It covers equal distance in equal intervals of time in the same direction (3) Distances covered in successive seconds increase by same amount (4) Acceleration is perpendicular to the direction of motion 14. A train of length 200 m is moving with a uniform velocity of 20 m/s. The time taken by the train to cross a bridge of length 800 m will be (1) 50 s (2) 40 s (3) 60 s (4) 30 s 15. A body starts from rest and moves along a straight line with uniform acceleration such that its displacement in the first second is 5 m. Displacement of the body in 5th second is (1) 15 m (2) 25 m (3) 35 m (4) 45 m 16. A motorcyclist going round in a circular track at constant speed has (1) Constant linear velocity (2) Constant acceleration (3) Acceleration of constant magnitude with its direction changing (4) Constant force 17. Which of the following statements is incorrect? (1) Displacement is a vector quantity (2) Distance covered is always less than displacement (3) Distance is scaler (4) Distance can’t be negative 18. The velocity v varies with position x as v = bx , where ‘b’ is a constant. The acceleration is (1) 2b (2) b 2 (3) b (4) 19. If speed of boat with respect to water is 5 m/s and speed of river current is 3 m/s, then speed of the boat when moving downstream is (1) 8 m/s (2) 2 m/s (3) 5 m/s (4) Zero 20. The initial and final velocities and acceleration of a particle in three situations are (a) 4 m/s, 5 m/s, 1 m/s 2 (b) –4 m/s, 5 m/s, 2 m/s 2 (c) 4 m/s, –5 m/s, 3 m/s 2 . If d a , d b , d c be the magnitudes of particles displacement in above three situations then (1) d a > d b > d c (2) d a > d c > d b (3) d a < d b < d c (4) d a < d c < d b 21. Driver of a car travelling at 20 m/s spot a kid 100 m ahead of him. The minimum retardation with which he will apply brakes to save the kid is (1) 1 m/s 2 (2) 2 m/s 2 (3) 3 m/s 2 (4) 4 m/s 2 (3) 22. The velocity-time graph for two cars moving on a horizontal straight road are shown in the following figure. The car A appears at rest to the driver of car B at A B O 12 3 4 time (h) Velocity (1) t = 1 h (2) t = 2 h (3) t = 3 h (4) t = 4 h 23. A body is projected vertically upward with speed 40 m/s. The distance travelled by it during third half second of its downward journey will be (1) 2.75 m (2) 5 m (3) 6.25 m (4) 8.75 m 24. Acceleration versus time graph of a body moving on a straight line is as shown in figure. Which of the following about the motion of body is correct? a t O (1) Velocity goes on increasing (2) Velocity goes on decreasing (3) Velocity first increases then decreases (4) Velocity first decreases then increases 25. Equation of motion of a body travelling along x-axis is given by x = t 2 – 20t + 5. Average speed of the body in the interval t = 0 s to t = 20 s is (1) 10 m/s (2) Zero (3) 15 m/s (4) 9.5 m/s 26. A ball is dropped from a balloon at a height 80 m, when its velocity is 30 m/s in upwards direction. The time after which the ball will hit the ground is (1) 8 s (2) 3 s (3) 2 s (4) 10 s 27. A particle is projected with speed 20 m/s at an angle 30° with horizontal from ground. Its speed when it is at a height of 2.5 m from ground will be (1) 18.7 m/s (2) 17.8 m/s (3) 10 m/s (4) 14 m/s 28. Select the situation in which speed of a particle moving along a straight line decreases? (1) v is positive and a is also positive (2) v is negative and a is also negative (3) v is zero and a is positive (4) v is negative and a is positive 29. A particle starts from rest, with acceleration a = 2(t – 1). The velocity of the particle at t = 3 s is (1) 2 m/s (2) 6 m/s (3) 8 m/s (4) 3 m/s 30. If velocity (v) of a particle varies with time (t) as shown in the figure below, then acceleration (a) varies with time as O v t (s) 5 10 (1) a O t (s) 510 (2) a O t (s) 510 (3) a O t (s) 5 10 (4) a O t (s) 510 31. If an average acceleration of 500 m/s 2 acts on a body for time 0.05 s, what will be change in velocity? (1) 50 ms –1 (2) 25 ms –1 (3) 75 ms –1 (4) 100 ms –1 32. If , AB uru r and C u r are three vectors such that 0 ? ? ? ? ? ? ? C B A and A = 3, B = 5 and C = 7. The angle between A u r and B u r is (1) 30° (2) 45° (3) 60° (4) 90° 33. A body is thrown so as to have a maximum possible range R. Its maximum height during the motion is (1) R (2) R/2 (3) R/4 (4) 2R 34. A car is moving on a circular path of radius 100 m such that its speed is increasing at a rate of 4 m/s every second. The angle between velocity and linear acceleration of the car when its speed is 20 m/s must be (1) Zero (2) 37° (3) 45° (4) 90° 35. Which of the following is constant in projectile motion? (1) Acceleration (2) Horizontal component of velocity (3) Rate of change of momentum (4) All of these (4) 36. Angle between velocity and acceleration at the highest point of path of projectile thrown at speed 100 m/s at an angle 60º with horizontal is (1) 0 (2) 60º (3) 90º (4) 120º 37. In the situation shown in figure, the three concurrent forces , and keep point in equilibrium then (1) (2) 3 12 cos cos cos ?? ?? ? F FF (3) 3 12 cosec cosec cosec ?? ?? ? F FF (4) 3 12 sec sec sec ?? ?? ? F FF 38. A man can swim with speed 2 km/h in a river having width 500 m. Velocity of flow of water is 5 km/h parallel to banks of river. The minimum time taken by the man to pass the river is (1) 10 minute (2) 12 minute (3) 15 minute (4) 20 minute 39. The equation of trajectory of an oblique projectile projected from origin is 2 11 2 3 yx gx ?? , where x-axis is along horizontal and y-axis is along vertical. The angle of projection with horizontal is (1) 60º (2) 30º (3) 45º (4) 90º 40. Two particles A and B are thrown from the top of a tower simultaneously with equal speed at complementary angles of projection. Path of A w.r.t. B is (1) Straight line (2) Parabola (3) Ellipse (4) Hyperbola 41. In the given diagram, a sphere of mass m = 1 kg is at rest inside a block and the assembly is revolving in a horizontal circle of radius r = 10m with constant angular velocity ? = 1 rad/s. The acceleration of the sphere is m (1) 10 m/s 2 (2) 20 m/s 2 (3) 1 m/s 2 (4) 40 m/s 2 42. A projectile is fired at 45° above horizontal. The ratio of kinetic energy at top-most point to that at initial point will be (1) 1: 2 (2) 2:1 (3) 1 : 2 (4) 2 : 1 43. A particle is projected from ground for maximum horizontal range 500 m. The horizontal distance travelled from point of projection at the instant at which its instantaneous velocity is normal to initial velocity will be (1) 125 m (2) 250 m (3) 375 m (4) 500 m 44. Position-time graph of a body of mass 2 kg moving along x-axis is as shown in figure. The change in velocity the body at the instant t = 1 s is 10 m 1s x O t (1) –20 ms –1 (2) 20 ms –1 (3) –10 ms –1 (4) 10 ms –1 45. Angular velocity of B w.r.t. A at the instant shown is 30º 20 m/s A B 10 m (1) 2 rad s –1 (2) 5 rad s –1 (3) 1 rad s –1 (4) Zero (5) In the following questions (46 to 50), a statement of assertion (A) is followed by a statement of reason (R). (1) If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1). (2) If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2). (3) If Assertion is true statement but Reason is false, then mark (3). (4) If both Assertion and Reason are false statements, then mark (4). 46. A : For a projectile motion in vertical plane, the horizontal velocity is assumed to be constant. R : The value of g is assumed to be constant near the surface of earth. 47. A : Small angular displacements are vector quantities. R : Small angular displacements do not obey commutative law of vector addition. 48. A: Magnitude of acceleration of a particle executing uniform circular motion is constant. R: T angintial acceleration of particle is zero. 49. A : The speedometer of an automobile indicates the instantaneous speed. R : The difference of the final reading and initial reading of the speedometer gives displacement of the automobile. 50. A : If a particle move on straight line, then it is not necessary that magnitude of displacement and distance are equal. R : If particle changes its direction then magnitude of displacement becomes less than distance travelled. CHEMISTRY 51. If two compounds have the same empirical formula but different molecular formulae, they must have (1) Different percentage composition (2) Different molecular weight (3) Same molecular weight (4) Same vapour density 52. Vapour density of a gas is equal to (1) Mol. wt. 2 (2) Weight of 11.2 litre of gas at STP (3) Both (1) & (2) (4) Mol. wt. of gas 22400 53. What is the hybridization of negatively charged carbon in CH = 2 CH – CH 2 ? (1) sp 2 (2) sp 3 (3) sp (4) sp 3 d 54. The molarity of NaNO 3 is 1 M. The density of solution is 1.25 g/ml. The molality of solution is approximately (mol.wt. of NaNO 3 = 85) (1) 1.25 (2) 1 (3) 1.65 (4) 0.86 55. What will be the bond order in 2 4 SO ? ? (1) 1 (2) 1.5 (3) 2.5 (4) 3 56. The mass of 1 mole of electron would be (1) 0.55 mg (2) 0.55 g (3) 0.95 g (4) 0.95 mg 57. Mole fraction of methanol in a mixture of methanol and ethanol is 0.25. The percentage (by mass) of methanol in the mixture is (1) 41% (2) 25.4% (3) 18.82% (4) 28.32% 58. 4 g of copper is dissolved in nitric acid. On decomposition, the resulting nitrate yielded 5 g of oxide. Equivalent weight of copper is (1) 16 (2) 32 (3) 48 (4) 64 59. The haemoglobin forms RBC of most mammals, contains approximately 0.33% of Fe in haemoglobin. Each haemoglobin contains 4 atom of Fe. The molecular mass of haemoglobin is approximately (1) 16,900 (2) 33,900 (3) 67,800 (4) 1,34,400 60. The weight of a molecule of alkene having formula C P H 2P is (1) 14 P g (2) 23 14 P g 6.203 10 ? (3) 23 14 P amu 6.023 10 ? (4) [(12 × P) + (2P × 1)] × 6.023 × 10 23 gRead More

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