CONTENTS. 1. Measurement Scalars and Vectors Projectile Motion Force Friction in Solids and Liquids 31-38

Transcription

1 CONTENTS Sr. No. Subject Page No. 1. Measurement 1-6. Scalars and Vectors Projectile Motion Force Friction in Solids and Liquids Sound Waves Thermal Expansion Refraction of Light Ray Optics Electrostatics Current Electricity Magnetic Effect of Electric Current Magnetism Electromagnetic Waves

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3 01 MEASUREMENTS LEVEL Which of the following sets can enter into the list of fundamental quantities in any system of units? (a) length, mass and velocity (b) length, time and velocity (c) mass, time and velocity (d) length, time and mass. Unit consisting of seven fundamental units, two supplementary units and large number of derived units are units. (a) CGS (b) MKS (c) FPS (d) SI 3. Which of the following is not the unit of time? (a) leap year (b) microsecond (c) lunar month (d) light year 4. mass preasure The physical quantity denoted by density is (a) Force (b) Momentum (c) Angular momentum (d) Work 5. Which of the following is not the name of a physical quantity? (a) kilogram (b) impulse (c) energy (d) density 6. The physical quantity having the same unit in all the systems of units is (a) length (b) time (c) mass (d) all 7. If year is taken as the unit of time and velocity of light as the unit of velocity then unit of length is (a) kilometre (b) metre (c) light year (d) radius of the earth 8. The physical quantity having the unit N Kg 1 is (a) Acceleration (b) Force (c) Velocity (d) Mass 9. Unit of energy can be written as (a) gm cm s. (b) gm cm s 1 (c) gm cm s (d) gm cm 1 s 10. Which of the following is not a unit of energy? (a) electron volt (b) kilowatt hour (c) watt sec (d) kilowatt 11. The unit of impulse is the same as that of (a) moment of force (b) linear momentum (c) rate of change of linear momentum (d) force 1. A pressure of 10 6 dyne/cm is equivalent to (a) 10 5 N/m (b) 10 4 N/m (c) 10 6 N/m (d) 10 7 N/m 13. A micron = X cm. Then X = (a) 10 4 (b) 10 6 (c) 10 8 (d) SI unit of luminous intensity is (a) Lumen (b) Candela (c) Lux (d) Watt

4 Std : XI 15. Dyne-sec is the unit of (a) momentum (b) force (c) work (d) angular momentum 16. A unitless quantity (a) does not exist (b) may have a non zero dimension (c) never has non zero dimension (d) always has a non zero dimension 17. The pair of physical quantities of which one is scalar the other is vector but possess same dimensional formulae are (a) work and energy (b) impulse and linear momentum (c) speed and velocity (d) force and energy 18. Select the pair of quantities which have different dimensional formulae, (a) Stress, pressure (b) torque, work (c) energy, torque (d) linear momentum, angular momentum 19. Out of the following, the quantity which has a unit but no dimensions is (a) coefficient of friction (b) relative density (c) linear strain (d) plane angle 0. Which of the following is the dimensional formula for the specific heat? (a) [M 0 L T K 1 ] (b) [M 0 L T K 1 ] (c) [M L T 3 K 1 ] (d) [M L T K 1 ] 1. Unit of electric charge is (a) faraday (b) volt (c) ohm (d) coulomb. N/Kg may be unit of (a) momentum (b) velocity (c) force (d) acceleration 3. Which of the following is not a fundamental quantity? (a) mass (b) temperature (c) luminious intensity (d) frequency 4. joule is SI unit of (a) physical work (b) energy (c) both a & b (d) none of these 5. Power has dimensions (a) [M 1 L T ] (b) [M 1 L T 3 ] (c) [M 1 L T 3 ] (d) [M 1 L T ] 6. Which of the following pair has same dimensions (a) force and pressure (b) potential energy and work (c) energy and power (d) work and momentum 7. Which of the following is dimensionless physical quantity (a) temperature (b) density (c) angle (d) electric potential 8. [M 1 L 1 T 1 ] are the dimensions of (a) pressure (b) velocity (c) displacement (d) momentum 9. Which of following is universally accepted system of units? (a) MKS system (b) CGS system (c) FPS system (d) SI system

5 Measurements 30. SI system of unit is mostly preferred because (a) it is best system (b) it consist of seven fundamental units (c) it fascillate link between scientific informations (d) it is famous system 31. Ideal unit is a unit which is (a) well defined, (b) invariable (c) universally accepted (d) all above 3. Which of following statement is correct (a) errors and mistakes can be avoided (b) errors can be avoided (c) mistakes can be avoided but errors can not (d) mistakes can not be avoided 33. One micron is related to centimetre as (a) 1 micron = 10 8 cm (b) 1 micron = 10 6 cm (c) 1 micron = 10 5 cm (d) 1 micron = 10 4 cm 34. The dimensional formula for impulse is the same as the dimensional formula for (a) momentum (b) force (c) rate of change in momentum (d) acceleration Dimensions of velocity gradient are the same as that of (a) frequency (b) time period (c) acceleration (d) momentum 36. Dimensional formula for torque is (a) ML T 1 (b) MLT (c) M L T 1 (d) M L T 37. According to Laplace's law in sound the dimension formula for y is (a) M 1 L T 0 (b) M 0 L 1 T (c) M 0 L 0 T 0 (d) M 1 L 1 T meter is equal to (in A 0. (a) 10 5 (b) 10 6 (c) 10 8 (d) micron µ. is equal to (a) 10 9 m (b) 10 1 m (c) 10 6 m (d) m nanometer is equal to (a) 10 9 mm (b) 10 6 cm (c) 10 7 cm (d) 10 9 cm 41. The dimensional formula [L M 1 T ] represents (a) Pressure (b) Force (c) Energy (d) Power 4. The dimensions of impulse is (a) [L 1 M 1 T (b) [L 1 M 1 T 1 ] (c) [L M 1 T 1 ] (d) [L M 1 T ] 43. Which of the following pairs of physical quantities do not have the same dimensions? (a) Pressure and modulus of elasticity (b) Impulse & linear momentum (c) Torque and angular momentum (d) Work & energy 44. Which of the following pairs of physical quantities have same dimensions? (a) Force and power (b) Impulse and momentum (c) Latent heat and specific heat (d) Work and power 45. Which of the following physical quantities is not represented by the dimensiona formula [L 1 M 1 T ]? (a) Pressure (b) Stress (c) Young's modulus (d) Power 3

6 Std : XI 46. Find the order of magnitude of the day. 1 day = sec (a) 10 5 (b) 10 4 (c) 10 6 (d) Find the order of magnitude of the density of the body which is kg/m (a) 10 3 (b) 10 4 (c) (d) 10 LEVEL - 1. Unit is always written in form. (a) singular (b) pural (c) double (d) none. Physical quantities which do not depend upon any other quantity for their measurement are (a) derived quantity (b) fundamental quantity (c) ystem of units (d) none 3. Physical quantities which depend upon other quantities for their measurement are (a) system of units (b) fundamental quantity (c) derived quantity (d) none 4. Fundamental quantity are related with quantities. (a) 5 (b) 6 (c) 7 (d) 9 5. Physical quantity defined as power of fundamental unit are (a) dimensions (b) specifications (c) analysis (d) none 6. Errors caused due use of faulty instrument is (a) systematic error (b) random error (c) instrumental error (d) absolute error 7. Difference between true value and measured value is (a) random error (b) absolute error (c) relative error (d) mean error 8 Errors which occur due to minute change in conditions are (a) random error (b) systematic error (c) relative error (d) absolute error 9. Unit of electric potential is (a) Ohm (b) ampere (c) coulomb (d) volt 10. [L 1 M 1 T 1 ] are dimension of (a) velocity (b) momentum (c) pressure (d) displacement 11. Universally accepted unit is system (a) CGS (b) SI (c) MKS (d) FPS 1. is dimensionless physical quantity. (a) density (b) current (c) power (d) angle 13. Length of day is (a) 5 l0 14 s (b) 9 l0 4 s (c) 10 9 (d) s 14. Light year = (a) 9 l0 9 m (b) 9.46 l0 15 m (c) m (d) m 4

7 Measurements 15. Solar day = (a) s (b) s (c) s (d) s 16. Radius of earth = (a) m (b) m (c) m (d) m 17. Mass of electron = (a) kg (b) 10 7 kg (c) kg (d) kg 18. has same dimensions. (a) impulse, momentum (b) power, energy (c) pressure, force (d) speed, acceleration 19. Dimensions of angular frequency are (a) [L O M 0 T 1 ] (b) [L O M O T ] (c) [L 1 M T 1 ] (d) [L 1 M 0 T 1 ] 0. has no unit (a) surface tension (b) angle (c) strain (d) frequency 1. quantity is not dimensionless. (a) strain (b) angle (c) Reynold's number (d) Radius of gyration. Dimensions of radian per second are (a) [L 0 M 0 T 1 ] (b) [L M 1 T ] (c) [L M T l ] (d) none feet = mm. (a) 1540 (b) 85 (c) 500 (d) Age of universe is 5 l0 17 s its age in years is (a) (b) (c) (d) hp = watt. (a) 756 (b) 766 (c) 746 (d) Power of lens P = 1 where f is focal length then its dimensions are f (a) [L 1 M T ] (b) [L 1 M 0 T 1 ] (c) [L 1 MT 0 ] (d) [L 1 M 0 T 1 ] 7. Time taken by electron to go from one energy band to other energy band is 10 8 s then time in nano second is (a) 4 ns (b) 100 ns (c) 1 ns (d) 10 ns 8. 1 ev = J. Binding energy of H atom is 13.6 ev then energy in joules = (a) J (b) J (c) J (d) I9 J 9. Surface tension T = F/L then its dimensions are (a) [L M 1 T ] (b) [L 0 M 1 T 1 ] (c) [L M 1 T ] (d) [L o M 1 T 1 ] 5

8 Std : XI Answer Key LEVEL d. d 3. d 4. d 5. a 6. b 7. c 8. a 9. c 10. d 11. b 1. a 13. a 14. b 15. a 16. a 17. d 18. d 19. b 0. a 1. d. d 3. d 4. c 5. b 6. b 7. c 8. d 9. d 30. c 31. d 3. c 33. d 34. a 35. a 36. d 37. c 38. d 39. c 40. c 41. c 4. b 43. c 44. b 45. d 46. a 47. a LEVEL - 1. a. b 3. c 4. c 5. a 6. c 7. b 8. a 9. d 10. b 11. b 1. d 13. b 14. b 15. c 16. b 17. c 18. a 19. b 0. c 1. d. c 3. a 4. d 5. c 6. c 7. d 8. b 9. a 6

9 0 SCALARS AND VECTORS LEVEL Physical quantities which have magnitude only are (a) vectors (b) scalar (c) zero vectors (d) unit vector. is not a scalar quantity. (a) momentum (b) temperature (c) length (d) time 3. Physical quantities which have magnitude as well as direction are (a) scalars (b) vector (c) force (d) pressure 4. Vectors having unit magnitude are (a) zero (b) negative (c) unit (d) collinear 5. Vectors which are parallel and lie on same line are (a) parallel vectors (b) collinear vector (c) position vectors (d) unit vector 6. Vectors which are parallel and lie in same plane are (a) collinear vectors (b) coplanar vectors (c) co-initial vector (d) component of vectors 7. is a vector quantity. (a) Electric charge (b) time (c) Electrostatic potential (d) force 8. The angle between i+ j and i+ k is (a) 30 (b) 60 (c) 45 (d) Condition for vectors (a + b) and (a b) to be parallel is (a) a = b (b) a b (c) a b (d) a b 10. If A= i+ j+ k value of B = for which A+ B is unit vector. (a) (j ˆ+ k) ˆ (b) (j ˆ k) ˆ (c) ˆj+ kˆ (d) ˆj+ kˆ 11. If a, b and c are unit vectors with a b c= 0 then a b+ b c+ c a= 3 (a) 0 (b) 1 (c) (d) 3 1. If vectors x and y are greater than one. Magnitude of x y cannot be (a) equal to xy (b) less than xy (c) greater than xy (d) equal to x/y 13. Angle between ˆ i+ ˆ j+ k ˆ and ˆ j is (a) 0 (b) 45 (c) 60 (d) none 14. A force f = 6i ˆ 8j ˆ+ 10kˆ units produces an acceleration of 1 m/s in a body the mass of body is (a) 10 kg (b) 10/ kg (c) 5/ kg (d) 00 kg

10 Std : XI 15. If A = B + C, B = C + A then vector C = (a) A + B (b) B + A (c) A B (d) null vector 16. Resultant of two vectors makes an angle 60 and 30 with them and its magnitude is 40 units. Magnitude of two vectors are (a) 0 units, 0 3 units (b) 0 units, 0 units (c) 0 units, 40 units (d) 0 units, 30 units 17. Two vectors A and B are perpendicular to each other then (a) A + B = 0 (b) A B = 0 (c) A B = 0 (d) A B = Angle between the direction P Q and Q P is (a) 0 (b) 45 (c) 90 (d) A force f = 3i ˆ+ 3j ˆ+ 3kˆ N acts on a body to produce a displacement i ˆ + 3j ˆ 3k ˆ. The work done is (a) 15 J (b) 6 J (c) 0 J (d) 1 J 0. The vectors 6i ˆ+ 9j ˆ+ 3k ˆ and i ˆ 3j ˆ 3kˆ are (a) parallel (b) perpendicular (c) inclined at 60 (d) inclined at Pressure is quantity. (a) scalar (b) vector (c) both scalar and vector (d) neither scalar nor vector. An insect moves in circular path of radius 6 m then maximum amplitude of displacement of insect is (a) 6 m (b) 6rcm (c) 1 Tim (d) 1m 3. A man travels from A to B, B to C and C to D. The magnitude of displacement of man is 10 m distance travelled by man is (a) l0 m B C (b) m 1 m 1 m (c) 1 m A D (d) 7 m 4. Two forces of magnitude 3 N and 4 N are acted on a body. Ratio of minimum to maximum magnitude of resultant force is (a) 3/4 (b) 4/3 (c) 1/7 (d) none 5. If a+ b = a b then angle between a and b is (a) 0 (b) 60 (c) 45 (d) Two vectors of same magnitude are acted on a point making an angle 60 then resultant of them (a) increase (b) decreases (c) same (d) none 7. Angle between A B and A + B is (a) 180 (b) 90 (c) 0 (d) If A B = 0 and B C = 0 then A C = (a) zero vector (b) unit vector (c) zero scalar (d) 8

11 9. Two vectors A and B are such that A+B= R and A + B = R then (a) A is parallel to B (b) A is perpendicular to B (c) A is antiparallel to B (d) A and B are equal in magnitude 9 Scalars and Vectors 30. Two vectors of magnitude 6 m and 8 m makes an angle 10 and 100 respectively with X axis. The resultant vector is (a) 10 m (b) 14 m (c) m (d) none 31. A force F= 3i ˆ+ j ˆ+ 4kˆ units displaces an object from a point P(1, 1, 1) to another point Q (, 0, 3). The work done by force is (a) 10J (b) 1J (c) 13J (d) 9J 3. Maximum and minimum resultant of two forces are in ratio 5 : then ratio of forces is (a) 4 : 1 (b) : 1 (c) 3 : 7 (d) 7 : 3 P+ Q 33. If = 1 then angle between P and Q is P Q (a) 0 (b) 45 (c) 90 (d) Four forces, 30 N from east, 0 N from north, 50 N from west and 40N from south are acted upon a body, the resultant of force is (a) 0 N 60 north east (b) 0 N 45 south west (c) 0 N 45 south east (d) 0 N 45 north east 35. Forces ˆ ˆ F ˆ ˆ ˆ 1= 3i+ 4j N, F = 5kN, and F3 = 3i 4j+ 5kN, are acted upon the body the direction of resultant is (a) along x axis (b) along z axis (c) along y axis (d) none The particle r= 3i ˆ+ 4t j t kˆ is displaced in time interval 1 to 3s then resultant displacement is (a) 3j ˆ 6kˆ (b) ˆj kˆ (c) 3i ˆ+ 4j ˆ kˆ (d) 9i ˆ+ 8j ˆ kˆ 37. Unit vector perpendicular to vector P= 3i ˆ+ ˆj and Q= i ˆj 5kˆ is 3i ˆ+ ˆj i ˆ 3j ˆ 5kˆ ˆi 3j ˆ+ 5kˆ (a) ± (b) ± (c) ± (d) i ˆ+ ˆj 5kˆ ± A force F = (i ˆ+ 3j ˆ k) ˆ N is acting on a particle with position vector r= 6i ˆ+ 3j ˆ kˆ the torque about origin is (a) 4i ˆ kˆ (b) 3i ˆ+ j ˆ+ 1kˆ (c) 8i ˆ+ 6j ˆ 3kˆ (d) 1i ˆ+ 9j ˆ kˆ 39. If A B = 0 and A B = 0 then is true. (a) θ = 0 (b) A = 0 B = 0 (c) A 0, B = 0 (d) A = B = θ = Magnitude of vector ˆ i+ j ˆ + k ˆ is (a) 1 (b) 3 (c) (d) (i ˆ+ 3j ˆ k) ˆ (i ˆ+ 3j ˆ k) ˆ (a) θ = 0 (b) θ = 30 (c) θ = 60 (d) θ = 90

12 Std : XI LEVEL - 1. The resultant of two forces at right angles is 5N. When the angle between them i: 10, the resultant is 13. Then the forces are (a) 10N, 15N (b) 0N, 5N (c) 3 N, 4 N (d) 1N, 13N. The sum of the magnitudes of two forces acting on a particle is 18 N and the magnitude of their resultant is 1 N. If the resultant is at 90. With the force of smaller magnitude, then magnitudes of those forces will be (a) 6 N, 16 N (b) 4 N, 14 N (c) 5 N, 13 N (d) 8 N, 10 N 3. Two vectors F 1 and F each of magnitude F are Inclined to each other such that the resultant is equal to 3F. Then the resultant of F 1 and F is (a) F (b) F (c) 3F (d) F 4. Vector parallel to 6i ˆ + 8j ˆ and having a magnitude of 5 (a) 4iˆ+ 3j ˆ (b) 1iˆ+ 16j ˆ (c) 16iˆ+ 8j ˆ (d) 3iˆ+ 4j ˆ 5. A = i + j k and B= i + j k. Then angle between A and B is (a) π/3 (b) π/ (c) π/4 (d) π/6 6. If the resultant of the vectors (i + j k),(i j+ k) and C is a unit vector also the Y- axis, then C = (a) i + k (b) i k (c) i + k (d) i k 7. If P= i + j 4k and Q= i + j k then (P + Q) (P Q) is (a) 10 (c) 0 (b) 15 (d) 5 8. If A = 5i j + 3k and B= i + j+ k component of B along A is (a) (b) (c) (d) A constant force of (i + 3j + 4k) newton produces a displacement of (3i + j + 3k) metre. Then work done (a) 6J (b) 1J ( c ) 4 J (d) 48 J 10. If A = i + j + k is perpendicular to i + yj 3k then y= (a) ( b ) 4 (c) 8 (d) A force (4i 5j + 3k) newton is acting at a point (i + j + 3k) m. The torque acting a point (3i j 3k)m is (a) (4i + 30 j 6k)Nm (b) (4i + 30 j + 6k) (c) (4i 30 j + 6k)Nm (d) zero 1. Vector subtraction obeys (a) Associative property (b) Distributive property (c) Commutative property (d) All the above

13 13. Choose the only scalar quantity (a) Force (b) mass (c) velocity (d) impulse 14. The magnitude of a vector cannot be (a) unity (b) positive (c) negative (d) zero 15. The component of a vector is (a) always less than its magnitude (b) always greater than its magnitude (c) always equal to its magnitude (d) none 16. If a vector is along the horizontal direction, its vertical component is (a) maximum (b) minimum (c) zero (d) none 17. A vector is not changed if (a) it is divided by a scalar (b) it is multiplied by a scalar (c) it is slide parallel to itself (d) none 18. Product of two vectors (a) always results a scalar (b) always results a vector (c) is not possible (d) may result a scalar or a vector 19. Magnitude of cross product of two vectors (a) is maximum if they are parallel to each other I (b) is minimum if they are perpendicular to each other (c) is always equal to product of their magnitudes (d) is maximum if they are perpendicular to each other 0. If P= i j+ k & Q= i+ j kthen PQ is (a) 5 (b) 3 (c) 0 (d) 1. If the angle between two forces increases, the magnitude of their resultant (a) increases (b) decreases (c) first decreases and then increases (d) remains unchanged. If component of one vector in the direction of another vector is zero, then those two vectors (a) are parallel to each other (b) are perpendicular to each other (c) are opposite to each other (d) are coplanar vectors Scalars and Vectors 3. If the magnitude of addition of two vectors is equal to the magnitude of subtraction m of those two vectors (a) Those two vectors are parallel to each other (b) Those two vectors are collinear (c) Those two vectors are perpendicular to each other (d) We can decide nothing 4. If the angular displacement is large, it is a scalar quantity because (a) its magnitude for large values cannot be calculated (b) it will not obey the associative law of vector addition (c) it will not obey the commutative law of vector addition (d) all the above 5. The resultant of two vectors will be maximum if they are (a) equal vectors (b) parallel vectors (c) orthogonal vectors (d) coplanar vectors 11

14 Std : XI 6. Two vectors having different magnitudes (a) have their directions opposite (b) may have their resultant zero (c) cannot have their resultant zero (d) none of these are given vectors and 9 be angle between then ( ) 7. If A and B A B =... (a) A B cos θ (b) A B (c) A B Sin θ (d) A B sin θ 8. Two vectors P and Q are at right angle then (a) P + Q = 0 P Q = 0 (b) ( ) (c) P Q = 0 (d) none of these 9. Two forces acting at point simultaneously has magnitude 1 N and 5 N and their resultant has magnitude 13N. What will be angle between two given vectors? (a) 0 (b) 30 (c) 60 (d) If A + B = A B and A and B are non zero vectors then (a) A=B (b) A = B (c) A and B are parallel vectors (d) A is perpendicular to B 31. Which of the following cannot be resultant of forces of 5 N and I O N? (a) N (b) 15 N (c) 7N (c) 5 N 3. Which of the following is scalar quantity? (a) momentum (b) electric current (c) velocity (d) displacement 33. The component of vector has magnitude (a) always less than magnitude of vector (b) always greater than magnitude of vector (c) may be greater or less than magnitude of vector (d) may be less or equal to magnitude of vector 34. If two vectors A and B are equal vectors then which of the following is not correct (a) A=B (b) A = B (c) A.B = BA (d) A + B = A + B 35. If A.B = 0 and A B = 0 then conditions which of the following is necessary (a) θ = 0 (b) A = 0 and B = 0 (c) A = 0 or B = 0 (d) A = 0, B = 0, θ = A.B + A B =... (a) zero (b) A B sin cos θ (c) A B (d) A B 37. Force F = 6i 8 j + 10k Newton produces an acceleration of m/s in body The mass of body would be (a) 500kg (b) 0 Kg (c) 10Kg (d) 5 kg 38. Which of following is incorrect (a) A B = B A (b) A B B A (c) (A (B C) = (A B) C (d) A B = + B.A 39. The sum vector of two vectors having magnitude 50 N and 100 N can never by (a) 10 N (b) 50 N (c) 40 N (d) 80 N 40. To have resultant of two vectors maximum, what should be angle between them (a) 0 (b) π/ radian (c) π radian (d) π radian 1

15 41. The angle between (A B ) and (B A) is (a) zero (b) π/ radian (c) π radian (d) π radian 4. Which one of the following quantities is a scalar? (a) Force (b) Electric field (c) Electrostatic potential (d) Linear momentum 43. A vector is represented by P = 3i + j+ k. Its length in the XY plane is (a) (b) 5 (c) 10 (d) Three vector A, B and C satisfy the relation, A.B = 0,A.C = 0 the vector A is parallel to (a) B (b) C (c) B C (d) B.C Scalars and Vectors 45. The work done by a force is defined by w= Fs. It is found that the work done is zero, even if F and s are not equal to zero. From this we conclude that (a) F and s are acting in the same direction (b) F and s are acting in the opposite direction. (c) F and s are acting at right angles (d) F and s are acting at an angle of The magnitude of the vector product of two vectors is 3 times their scalar product. The angle between the two vectors is (a) 30 (b) 45 (c) 60 (d) When a body has displacement of P and Q in the same direction along a straight line, then the resultant displacement of the body is (a) P Q (b) P+ Q (c) P.Q (d) P Q 48. Two physical quantities, one of which is vector and other is scalar, having same dimensions are (a) work & energy (b) work & torque (c) pressure & power (d) Impulse & momentum 49. Which pair of following displacements cannot give a resultant displacement of m? (a) 1 m & 1 m (b) m & 4 m (c) 1 m & 3 m (d) 1 m & 4 m 50. If the magnitude of the resultant of two forces F and F acting at a point be also F, then the angle between the two forces is (a) 0 (b) 60 (c) 90 (d) P + Q = P Q then the angle between the vectors P and Q is (a) 0 (b) π/4 (c) π/ (d) π 5. If the magnitude of the vectors P, Q and R are 1, 5 and 13 units respectively and vector P+ vector Q = vector R then angle between P & Q is (a) 0 (b) π (c) π/ (d) π/4 53. If P + Q = P Q and Q is finite then (a) P is parallel to Q (b) P= Q (c) P is perpendicular to Q (d) P = Q 13

16 Std : XI 54. If P.Q = PQ then angle between P and Q is (a) 0 (b) π/4 (c) π/ (d) π 55. If vectors P and Q are perpendicular to each other, then (a) P.Q = 0 (b) P Q= 0 (c) P+ Q= If P Q= PQ then angle between P and Q is (a) 0 (b) π/4 (c) π/ (d) π 57. If I P Q = P.Q then angle between P and Q is (a) 0 (b) π/4 (c) π/ (d) π (d) P Q= P, Q and R and are non-zero vectors and P. Q = 0 and Q.R = 0 then magnitude of P. R is (a) PR (b) PQ (c) QR (d) P + Q 59. P= i+ j k then its magnitude is (a) 5 (b) 3 (c) 4 (d) 1 Answer Key LEVEL b. a 3. b 4. c 5. b 6. b 7. a 8. a 9. c 10. a 11. d 1. c 13. d 14. b 15. d 16. a 17. c 18. d 19. b 0. b 1. a. c 3. c 4. a 5. d 6. c 7. b 8. c 9. b 30. c 31. d 3. d 33. c 34. b 35. d 36. c 37. c 38. b 39. c 40. c 41. a LEVEL - 1. c. c 3. a 4. d 5. a 6. b 7. b 8. d 9. c 10. b 11. a 1. c 13. b 14. c 15. a 16. c 17. c 18. d 19. d 0. c 1. b. b 3. c 4. c 5. b 6. c 7. c 8. d 9. d 30. d 31. a 3. b 33. d 34. d 35. c 36. c 37. c 38. c 39. c 40. a 41. c 4. c 43. c 44. c 45. c 46. c 47. b 48. b 49. d 50. d 51. c 5. c 53. c 54. a 55. a 56. c 57. b 58. a 59. b 14

17 03 PROJECTILE MOTION LEVEL If distance covered by a particle is zero, what can you say about its displacement? (a) It mayor may not be zero (b) It cannot be zero (c) It is negative (d) It must be zero. The numerical ratio of average velocity to average speed is (a) always less than one (b) always equal to one (c) always more than one (d) equal to less than one 3. Of the following the correct statement is (a) acceleration due to gravity in vacuum is the same irrespective of the size and mass of the body (b) acceleration due to gravity in vacuum depends on the mass of the body (c) acceleration due to gravity in vacuum is absent (d) acceleration due to gravity is zero at poles 4. For a freely falling body, the nature of velocity time graph is (a) a straight line passing through origin (b) a straight line with positive Y-axis intercept (c) a parabola (d) an ellipse 5. Which of the following decreases in motion along a straight line with constant retardation (a) speed (b) acceleration (c) displacement (d) none of the above 6. The acceleration of a body has the direction of (a) displacement (b) velocity (c) change in velocity (d) none of these 7. A particle in a plane with a constant acceleration in a direction different from the initial velocity. The path of the particle is (a) straight line (b) arc of a circle (c) parabola (d) ellipse 8. If a body starts from a point and returns back to the same point, then its (a) average velocity is zero but not average speed (b) average speed is zero, but not average velocity (c) both average speed and velocity are zero (d) average speed and velocity depend upon the path 9. If a body has uniform speed, it (a) has uniform velocity (b) has zero acceleration (c) has uniform acceleration (d) may have acceleration 10. Two stones of different masses are dropped simultaneously from the top of a building (a) larger store hits the ground earlier (b) smaller stone hits the ground earlier (c) which of the stones reach the ground earlier depends on the composition of the stone (d) both the stones reach the ground simultaneously 11. Velocity - time graph for a freely falling body is a straight line with (a) positive slope (b) negative slope (c) zero slope (d) none

18 Std : XI 1. An iron ball and a wooden ball of the same radius are dropped from the same height in vacuum then (a) iron ball reaches the ground earlier (b) wooden ball reaches the ground earlier (c) both reach the ground in the same time (d) none 13. A body is projected vertically up from the ground. On reaching the greatest height, (a) its velocity is zero and acceleration is not zero (b) its acceleration is zero and velocity is not zero (c) both velocity and acceleration are non zero (d) both velocity and acceleration are zero 14. A body is projected vertically up from the ground. Distance travelled by it in the last second of its upward journey is (a) more if the initial velocity is more (b) more if the initial velocity is less (c) independent of the initial velocity (d) none 15. Shape of displacement - time graph for a body projected vertically up (a) curve with constant slope (b) curve with positive slope (c) curve with decreasing slope (d) curve with increasing slope 16. If a body is projected horizontally from the top of a tower, the time taken by it to reach the ground depends upon (a) velocity of projection (b) height of the tower (c) both velocity of projection and height of the tower (d) neither of these two 17. For a projectile, the value which depends on the vertical component of velocity of projection. (a) Time of flight (b) Maximum height (c) Neither (d) Both 18. A man walls 4m to the north, 1m to west and finally climbs up a vertical pole upto a height of 3m. Then his displacement and distance travelled by him are respectively (a) 19m, 13m (b) 13m, 15m (c) 13m, 13m (d) 13m, 19m 19. A person walks a distance of 30m towards west with a speed of ms 1 and 40 m towards north with a speed of 1.5ms 1. Then average speed and average velocity for his journey (a) ms, ms (b) ms, ms (c) 0ms 1, 5 ms 1 (d) 5 ms 1, 0ms A stone is dropped into water from a bridge 44.1 m above the water. Another stone in thrown vertically downward 1 second later. Both strike the water simultaneously. Then initial speed of the second stone is (a) 4.5 ms 1 (b) 4.9 ms 1 (c) 9.8 ms 1 (d) 1.5 ms 1 1. A body is allowed to fall from a height of 100 m. After seconds if acceleration due to gravity vanishes, the total time of its fall is (g = 10 ms. (a) 3 s (b) 4 s (c) 6s (d) 8s. When a body is projected vertically up from the ground, its velocity is reduced to 1/3 rd of its initial value at height y above the groun(d) Then maximum height reached by the body is (a) 3y (b) 9y (c) 8y/9 (d) 9y/8 3. The range of a projectile thrown at an angle 6 with the ground is R. The time of its flight is T. Then tan θ = gt gt gr gr (a) (b) (c) (d) R R T T 16

19 Projectile Motion 4. The displacement time graph of a body moving along a straight line is as shown. Which of the following graphs represents the velocity-time graph for the motion of that body? v t v v (a) t (b) t v v (c) t (d) t 5. The motion of a particle is given by y = 40 t 5t and x = 40 3 t where x and y are in metre and t in seconds. Then initial velocity of the body and angle made by it to the horizontal are (a) 40 ms 1 60 (b) 40 ms 1, 30 (c) 80 ms 1, 60 (d) 80 ms 1, A gun throws a shell with a muzzle speed of 98 ms 1. When the gun is elevated at 45, the range is observed as 900 m. Due to air. resistance its range is decreased by (a) 40 m (b) 80 m (c) 10 m (d) 160 m 7. Two bodies of masses m 1 and m are dropped from heights h 1 and h respectively. Time taken by them to reach the ground t 1 and t are in the ratio (a) h 1 : h (b) m 1. h : m h 1 (c) h 1 : h (d) m 1 h 1 : m h 8. A body thrown up with certain velocity reaches maximum height 100 m. Another body of double mass thrown up with double the initial velocity then maximum height to which that body reached is (a) 100m (b) 00m (c) 50m (d) 400 m 9. Body can not have (a) constant speed and variable velocity (b) acceleration and constant speed (c) constant velocity and variable speed (d) nonzero speed and zero acceleration 30. The slope of position time graph gives (a) velocity (b) acceleration (c) uniform acceleration (d) displacement 31. Car travels one position to another with velocity 30 Km/hr and returns with velocity 40 Km/hr. The average velocity of the car is (a) 35 Km/hr (b) 70 Km/hr (c) 10 Km/hr (d) zero 17

20 Std : XI 3. A uniformly accelerated particle covers distance 4 m in 4 sec and 64 m in next 4 se(c) Then initial velocity of the particle is (a) zero (b) 1 m/s (c) 3 m/s (d) 4 m/s 33. If vehicle at rest accelerates uniformly to a speed 144 Km/hr within 0 sec, it covers distance (a) 0m (b) 400m (c) 1440m (d) 980m 34. Train is 100 m long and is moving with 45 Km/hr. The time it will take to cross a bridge 1 Km long is (a) 10 sec (b) 0 sec (c) 40 sec (d) 88 sec 35. For maximum vertical height the angle of projection should be (a) 0 (b) 45 (c) 90 (d) The maximum height reached by projectile is H max then time of flight will be (a) 4Hmax g (b) 8Hmax g (c) 8Hmax g (d) 16Hmax g 37. When stone is thrown at an angle 45 with horizontal. It rises to maximum height 10 m. It's horizontal range is (a) 40 m (b) 80 m (c) 0m (d) 100m 38. The velocity - time graph is shown in figure. The displacement of the object is (a) 500 m (b) 1000 m (c) 100 m (d) 50m B 80 v A time 39. A bus increases speed from 36 Km/hr to 7 Km/hr in ten seconds. If acceleration is (a) 5 m/s (b) m/s (c) 3.6 m/s (d) 1 m/s 40. A body is thrown vertically upwards with initial velocity 9.8 m/s. It will remain in air for (a) 1 sec (b) sec (c) 3 sec (d) 5 sec 41. Player throw a ball vertically upward and then returns to his hands. Which of following graph represents this case correctly. (a) Speed time (b) Speed time (c) Speed (d) Speed time time 18

21 Projectile Motion 4. Which one of the following graphs represents a uniform speed motion? S V S V t t t t (1) () (3) (4) (a) 1 (b) 3 (c) 4 (d) 43. The speedometer of a car measures (a) Acceleration (b) Average velocity (c) Instantaneous speed (d) Instantaneous velocity 44. The acceleration of a moving body can be found from (a) area under velocity-time graph (b) area under distance-time graph (c) slope of the velocity-time graph (d) slope of the distance-time graph 45. The two ends of a train moving with a constant acceleration pass a certain pole with velocities u and v. The velocity with which the middle point of the train passes the same pole is u+ v u + v (a) (b) (c) u + v u + v (d) 46. The velocity of a body moving with uniform acceleration is 10 m/s at a particular instant. Its velocity after 5 seconds is 0 m/s, What was the velocity of the body 3 seconds before that instant? (a) m/s (b) 4 m/s (c) 6 m/s (d) 8 m/s 47. The velocity-time graph of a body is shown in the figure. From this graph, we conclude that at point C (a) the force acting on the body is zero v (b) the force is increasing the velocity of the body B D (c) the force Opposes the motion of the body A (d) none of the above O 48. The following is not an example of a projectile motion C (a) A stone is thrown horizontally from the top of a tower (b) A football player who kicks the ball (c) A bowling ball & a golf ball are dropped from a twenty story window (d) A motion of a bullet from a gun t 49. Here are four pairs of initial & final positions, respectively, along an X-axis. Which pairs give a negative displacement (a) 3 m, +5 m (b) 3 m, 7 m (c) + 7 m, 3 m (d) 3 m, 7 m 50. The following equations give the position x(t. of a particle in four cases (in each equation x is in meters & t is in seconds and t > 0.. In which case is the velocity v of the particle constant. (a) x = 4 (b) x = /t (c) x = 3t 5 (d) x = t 51. The magnitude of instantaneous velocity is given by (a) position (b) speed (c) displacement (d) none of the above 19

22 Std : XI 5. The position of a moving particle on an X-axis is given by x = 9.t.1t. where x is in meters & t is in seconds. The velocity of a particle at t = sec is (a) 0.6 m/s (b) 17.6 m/s (c) 0.6 m/s (d) can not be calculated 53. For a projectile motion, (a) the horizontal velocity component retain its initial value throughout the flight but vertical component of velocity changes with time (b) both the horizontal & the vertical components of velocity remains unchanged throughout their motion. (c) the horizontal velocity component varies with time but the vertical velocity component changes due constant downward acceleration (d) none of the above. 54. A ball is projected at an angle of 450 to the horizontal with a velocity 30 m/s. Then the range of a ball is (g = 9.8 m/s. (a) 9.18 m (b) 90m (c) m (d) m 55. When a particle is launched the maximum height that can be reached is given by (g = 9.8 m/s. usin θ u sinθ u sin θ (a) H = (b) H = (c) H = (d) None of these g g g 56. Suppose an object is thrown with the same initial velocity & direction on Earth and on the moon where g is 1/6 as large as it is on earth (a) time of fight & the horizontal range both increases (b) time of flight increases & not the horizontal range (c) time of flight decreases with the horizontal range (d) time of flight decreases & horizontal range increases 57. When a particle moves from A B then its average velocity during that instant is does not (a) depend on the actual distance a particle moves (b) depends on the actual distance travelled (c) both a & b (d) none of the above LEVEL - 1. If body is moving with uniform velocity then what is its accelerations? (a) Positive (b) Negative (c) Zero (d) (a) or (b). Which one of the following graph represents a uniform speed motion? (a) s v s (b) (c) (d) t t t 3. The speedometer of a car measurer (a) Acceleration (b) Avg. Velocity (c) Instantaneous speed (d) Instantaneous velocity v t 4. The acceleration of a moving body can be found from (a) Area under velocity time graph (b) Area under distance time graph (c) Slope of velocity time graph (d) Slope of distance time graph 0

23 Projectile Motion 5. The two ends of a train moving with a constant acceleration pass a certain pole with velocities u & V. The velocity with which the middle point of the train passes the same pole is u+ v u + v (a) (b) (c) u + v u + v (d) 6. Avg. speed of an object is. to magnitude of Avg. velocity over a given time interval (a) less than (b) greater than (c) equal to (d) (b) or (c) km/hr = m/s (a) (b) 30 (c) 1.33 (d) Particle initially at rest covers the distance of 6m with acceleration of 3 m/s, what is its final velocity? (a) 8 m/s (b) 36 m/s (c) 6 m/s (d) 0.6 m/s 9. Which one of the following is true? (a) time of asend > time of desend (b) time of asend < time of desend (c) time of asend = time of desend (d) time of dasend time of desend 10. After what time a projectile returns to its original plane of Projection? (a) usinθ g (b) u sin θ g (c) usin θ g (d) u θ g 11. Trajectory path of projectile mathematically. (a) Hyperbola (b) arc of circle (c) Parabola (d) Rectangular Hyperbola 1. Which of the following formula represents horizontal range of projectile (a) u sinθ g (b) u sin θ g (c) u sin g θ (d) usinθ g 13. The range of projectile is maximum if it is projected in a direction inclined to the horizontal at an angle of (a) 45 (b) 60 (c) 30 (d) The maximum horizontal range (Rmax) is given u u (a) (b) g g (c) u g (d) u g 15. Which one of the following equation represents trajectory of the projectile gx (a) y = x tan θ u cos θ gy (c) x = y tan θ u cos θ gx (b) y = x tan θ u cos θ gx (d) y = x tan θ u cos θ 16. Which one of the following formula for the height (+1) is true. (a) u sinθ H = (b) g u sin θ H = (c) g u sin θ H = (d) g u sinθ H = g 17. Maximum height reached by a projectile, when it is projected at an angle of 45 is given by u 3u u 3u (a) (b) (c) (d) g g g g 1

24 Std : XI 18. The angle of projection (θ) for a projectile is given 1 H (a) tan 1 4H θ = (b) θ = tan R (c) R θ = tan 4H 1 R (d) θ = tan H 1 R 19. Horizontal range of projectile is same for which two angles, when they are projected with same velocity (a) (θ) & (θ) (b) (θ) & (π θ) (c) ()& θ π θ (d) ()& θ π θ θ 0. Which one of the following represents instantaneous velocity? x x x (a) v = (b) v = (c) v = lim t t t 0 t (d) x v = t 1. When the particle is projected vertically upward (i.e. θ = 90 ) then range of projectile (R) is (a) 0 (b) g g. What is acceleration if initial & final velocities are 10 & 30 m/s in 4sec. (a) 5 m/s (b) 0.5 m/s (c) 5 m/s (d) 0.5 m/s 3. In above question, What is distance covered in same time interval? (a) 80 m (b) 8m (c) 160 m (d) 10 m (c) u 4g (d) u g 4. What is acceleration in vertically upward direction? (a) g m/s (b) g m/s (c) g m/s (d) g m/s 5. A sector moving at the speed of 1 m/s is stopped by applying brakes which produces uniform retardation of 0.6m/s. How much distance will be covered? (a) 10 m (b) 180 m (c) 1 m (d) 18 m 6. The distance traveled by body moving along straight line with uniform acceleration in the n th second of its motion is g g u g g (a) u (n 1) (b) u (c) + (n 1) (d) u + (n 1) 7. The maximum horizontal range of a projectile is 980m then find the maximum height (a) 45 m (b) 98 m (c) 980 m (d) 490 m 8. The slope of position time graph gives (a) Velocity (b) acceleration (c) Displacement (d) (Velocity) 9. When the body is projected horizontally which one of the following is true? gx (a) y = (b) u gx gx y = (c) y = (d) u u gx y = u 30. A stone is projected with velocity of 100 m/s at an angle of 60 with the horizontal find the time of flight. (a) 1.77 sec. (b) sec (c) sec (d) 0.17 sec 31. In the above problem also find maximum height (a) 38.6 m/s (b) 38.6 m/s (c) 0.38 m/s (d) 3.86 m/s 3. In the 30 th question, What is horizontal range? (a) m (b) m/s (c) m (d) 8836 m

25 Projectile Motion 33. Two stones of 00gm & 300 gm are thrown from a point with the same velocity & in the same direction, which stone will reach the ground first? (a) 00 gm (b) 300 gm (c) both (d) Cannot predict 34. Which of the following isn t a kinametical equation 1 (a) v = u+ at (b) S= ut+ at (c) v = u + as (d) v = u + at 35. A car goes from P to G with the uniform velocity 40km/hr & from G to P with the uniform velocity 30 km/hr if the distance PQ is 10 km what s the avg. velocity of car? (a) 70 km/hr (b) 35 km/hr (c) 50 km/hr (d) 0 km/hr 36. If the body is projected at 30 or at 60 with the horizontal then, it has (a) Same Horizontal range, same Maximum Height (b) Same Horizontal range, Different maximum height (c) Different horizontal range, same maximum height (d) Different horizontal range, Different maximum height 37. Find the Angle of projection at which the horizontal range & the maximum height of a projectile are equal (a) 30 (b) 45 (c) 76 (d) A stone is projected with speed is at an angle of θ with the horizontal is at the top of its trajectory what is its acceleration? (a) g cos θ (b) g sin θ (c) g (d) g sin θ 39. In above problem, what is its speed? (a) u sin θ (b) u cos θ (c) u (d) u cos θ 40. In the 38 th problem what is the angle between directions of its velocity & acceleration? (a) 30 (b) 45 (c) 60 (d) The velocity of a body moving with uniform acceleration is 10m/s at a particular instant. Its velocity after 5 second is 0m/s what was the velocity of the body 3 seconds before that instant? (a) m/s (b) 4 m/s (c) 6 m/s (d) 8 m/s 4. When the body is projected vertically upwards then R = (a) u g (b) u g (c) u g (d) A body is having zero velocity still it is accelerated this happens when projectile is at. (a) lowest point (b) Highest point (c) Intermediate point (d) at any point 44. A projectile is projected with initial velocity of 10m/s at an angle of 90 then what is its time of flight? (a) 1 m/s (b) m/s (c) 0. m/s (d) 0.1 m/s 45. A body is projected with the velocity of 60m/s at an angle of 60 with vertical then what is horizontal range? (a) 180 m (b) 180 m (c) m (d) 90 3 m 46. In above problem, what is maximum height? (a) 90m (b) 45 m (c).5 m (d) 180 m 47. In 45 th problem what is time of height? (a) 1.0 sec (b) 6.0 sec (c) 18.0 sec (d) 6 3 sec 3

26 Std : XI 48. When body is projected vertically upwards then its acceleration (a) decreases (b) increases (c) decrease or increase (d) remains same 49. Which of the following equation represents path of projectile? (a) y = αx βx (b) y = αx βx (c) y = (αx βx ) (d) y = αx 3 (where α & β are constants) 50. A body is projected vertically upwards with a velocity of 10m/s has covered height of 5m then what is the acceleration due to gravity? (a) 10 m/s (b) 0 m/s (c) 8 m/s (d) 11 m/s Answer Key LEVEL d. d 3. a 4. a 5. a 6. c 7. c 8. a 9. d 10. d 11. a 1. c 13. a 14. c 15. c 16. b 17. d 18. d 19. b 0. d 1. c. d 3. a 4. a 5. d 6. b 7. c 8. d 9. c 30. a 31. d 3. b 33. b 34. d 35. c 36. c 37. a 38. a 39. d 40. b 41. b 4. b 43. c 44. c 45. d 46. b 47. c 48. c 49. b 50. c 51. b 5. c 53. a 54. d 55. c 56. a 57. b LEVEL - 1. c. c 3. c 4. c 5. d 6. d 7. a 8. c 9. c 10. c 11. c 1. a 13. a 14. b 15. b 16. c 17. b 18. b 19. d 0. c 1. a. c 3. a 4. b 5. a 6. d 7. a 8. a 9. d 30. b 31. a 3. c 33. c 34. d 35. d 36. b 37. c 38. c 39. b 40. d 41. b 4. d 43. b 44. b 45. c 46. b 47. b 48. d 49. a 50. a 4

27 04 FORCE LEVEL Swimming is based on Newton's (a) First law of motion (b) Second law of motion (c) Third law of motion (d) Law of gravitation. Out of the four basic forces in nature, the weakest force is (a) The electromagnetic force (b) The strong nuclear force (c) The gravitational force (d) The weak nuclear force 3. A water tap can be operated easily using two fingers because (a) The force by one finger overcomes the friction, the other finger provides the force for operation (b) The force available for operation will be more (c) The rotational effect is produced by the couple framed (d) None of the above 4. Newton's second law gives the measure of (a) Acceleration (b) Force (c) Momentum (d) Angular momentum 5. Inertial frame of reference, implies that (a) Newton's law of motion holds good for real forces (b) The frame accelerating uniformly (c) Newton's laws of motion do not hold good (d) None 6. Centrifugal force is pseudo force because (a) It is real (b) It is scalar (c) It can not be detected from outside (d) It is to be experienced by objects in the system 7. A body is acted upon by a constant force when it will have uniform (a) Speed (b) Momentum (c) Velocity (d) Acceleration 8. A force of 00 N acts in the opposite direction on a body moving with uniform velocity and brings it to rest in 0.5 se(c) What is the initial momentum of the body (in kg.m/s. (a) 50 (b) 75 (c) 100 (d) In a collision which of the following is conserved (a) Linear momentum of system (b) Kinetic energy of system (c) Both (d) None of these 10. In elastic collision which physical quantity remains constant? (a) Linear momentum only (b) Kinetic energy only (c) Linear momentum and kinetic energy (d) Force 11. The collision in which the relative velocity is zero after collision is (a) Perfectly elastic (b) Perfectly inelastic (c) Partially elastic (d) Sometimes elastic and sometimes inelastic 1. In an elastic collision of two bodies, which of the following do not change after 1 collision? (a) Total kinetic energy (b) Total linear momentum (c) Total energy (d) Total angular momentum

28 Std : XI 13. Two balls at same temperature collide. What is conserved? (a) Temperature (b) Velocity (c) Kinetic energy (d) Momentum 14. The coefficient of restitution for a perfectly inelastic collision is (a) 1 (b) 0 (c) (d) A ball is released from some height which strikes ground. If the collision is perfectly elastic (a) The ball sticks to the ground (b) The ball rebounds to the same height (c) The ball rebounds to a greater height (d) The ball moves along the ground 16. A bullet hits and get embedded in a solid block resting on a horizontal friction less table, what is conserved? (a) Momentum and kinetic energy (b) Kinetic energy alone (c) Momentum alone (d) Neither momentum nor kinetic energy 17. A sphere of mass kg strikes another sphere of mass 3 kg at rest with a velocity of 5 m/s. If they move together after collision then common velocity is (a) 1 m/s (b) m/s (c) 4 m/s (d) Zero 18. A gun of mass 10 kg fires a bullet of 10 g mass with a muzzle velocity of 00 m/s. Recoil velocity of the gun is (a) 0.1 m/s (b) 0. m/s (c) 0.4 m/s (d) 0.8 m/s 19. A fielder catches a ball of mass 00 gm in 0.1 sec moving with speed 30 m/s then he experiences a force (a) 0.6 N (b) 600 N (c) 60 N (d) 6 N 0. The force of 500 N acts on body of mass 5 kg for 10 seconds. The change in momentum of the body is (a) 1000 N (b) 5000 N (c) N (d) 5000 N 1. Coefficient of restitution depends upon of colliding bodies (a) Masses (b) Direction of motion (c) Materials (d) Acceleration. Two identical bullets are fixed from two guns 'A' and 'B'. If mass of A is less than mass of B, then which gun experiences more push in backward direction (a) Same for both (b) A (c) B (d) Depend upon shooter 3. A body is in translational equilibrium it (a) Resultant force on it is zero (b) It is in uniform motion or at rest (c) Body is in accelerated motion (d) 'a' and 'b' 4. Torque has dimensions same as that of (a) Momentum (b) Force (c) Energy (d) Impulse 5. Two bodies of masses M and m have equal kinetic energy. The ratio of their momenta is M m M M (a) (b) (c) (d) m M m m 6. Centre of mass of body lies (a) Always inside the body (b) May inside or outside the body (c) Always at geometric centre (d) On the surface of body 6

29 Force LEVEL - 1. Every body continues its motion or comes to rest after certain period of time unless and until is applied to it. (a) inertia (b) force (c) momentum (d) none. Tendency of a body to maintain its state of rest or state of uniform motion in a straight line is (a) inertia (b) force (c) momentum (d) none 3. Rate of change of momentum of a body is proportional to impressed which is in its direction. (a) inertia (b) impulse (c) force (d) none 4. Inertia of a body is measured by of body. (a) weight (b) volume (c) size (d) mass 5. Linear momentum of a body is product of its mass and (a) acceleration (b) velocity (c) displacement (d) none 6. S.I. unit of linear momentum is (a) netwon (b) netwon meter (c) netwon second (d) netwon//meter 7. Dimension of momentum is (a) [L 1 M 1 T 1 ] (b) [L 1 M 1 T 1 ] (c) [L 1 M 1 T 1 ] (d) [L 1 M 1 T ] 8. Force produced due to interaction between the objects is (a) real force (b) pseudo force (c) gravitational force (d) electromagnetic force 9. A vehicle moves along a curved path, passengers in the vehicle experience a force in out ward direction, this force is (a) real force (b) pseudo force (c) gravitational force (d) electromagnetic force 10. Existence of force of attraction between a body and earth is (a) real force (b) pseudo force (c) gravitational force (d) electromagnetic force 11. Force of attraction between the particle is inversely proportional to (a) product of masses (b) gravitation force (c) distance between particle (d) square of distance between the particle 1. Constant of gravitation is (a) C (b) C /Nm (c) Nm /kg (d) Nm /kg 13. Force between two charges at rest is (a) electrostatic force (b) electromagnetic force (c) real force (d) none 14. Force between electric charges in motion is (a) electrostatic force (b) electromagnetic force (c) real force (d) dynamic force 15. A particle is moving with a constant speed along a straight line. A force is not required to (a) increase its speed (b) decrease of interia (c) reversing the direction (d) keeping it moving with uniform velocity 7

30 Std : XI 16. Kicking of weighted ball hurts the legs due to (a) velocity (b) inertia (c) reaction (d) momentum 17. A body at rest on earth's surface has (a) only weight of body acts on body (b) no force is acting on body (c) net downward force is equal to net upward force (d) none 18. A force of interaction which binds protons and neutrons in nucleus of an atom is (a) electrostatic force (b) electromagnetic force (c) nuclear force (d) real force 19. As per work energy theorem, work done by a force in displacing a body is due to (a) change in potential energy (b) change in kinetic energy (c) change in mass (d) change in momentum 0. For elastic collision, total kinetic energy of colliding particle is (a) unconserved (b) conserved (c) changed (d) none 1. For inelastic collision, total kinetic energy of colliding particle is (a) unconserved (b) conserved (c) changed (d) none. Ratio of relative velocity of separation after collision to relative velocity of approach before collision between two colliding object is (a) coefficient of friction (b) coefficient of restitution (c) coefficient of inertia (d) none 3. Inertial frame of reference is applicable to netwon's law of motion. (a) second (b) third (c) first (d) fourth 4. Non inertial frame of reference have motion with respect to inertial frame of reference. (a) circular (b) straight (c) accelerated (d) decelerated 5. If relative distance between any two particles does not change under application of force then body is (a) elastic (b) expanded (c) rigid (d) compressed 6. Ability of force to produce rotational motion which is measure of turning effect is (a) momentum (b) inertia (c) acceleration (d) torque 7. Two equal and opposite forces acting in opposite direction at two points of a object form (a) moment of couple (b) couple (c) dipole (d) none 8. Ability of couple to produce rotational motion is (a) moment of couple (b) couple (c) momentum of force (d) elasticity 9. S.I. unit of moment of couple is (a) netwon (b) netwon-meter (c) netwon/meter (d) netwon meter 30. Dimensions of moment of force are (a) [L M 1 T ] (b) [L M T ] (c) [L M 1 T 1 ] (d) [L M 1 T 1 ] 8