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**Class 11 Physics Objective Chapter – 4 Motion in a Plane**

1. Which among the following is a scalar quantity

( a ) Force

( b ) Mass

( c ) Momentum

( d ) Velocity

**Ans:- (b)**

2. The path followed by a projectile is called its?

( a ) Territory

( b ) Treasury

( c ) Tractor

( d ) Trajectory

**Ans:- (d)**

3. A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion takes place in a plane. It follows that

( a ) its acceleration is constant

( b ) its motion is circular

( c ) its velocity is constant

( d ) its motion is linear

**Ans:- (b)**

4. The total flight requires a time that is?

( a ) four times the time necessary to reach the maximum height.

( b ) thrice the time necessary to reach the maximum height

( c ) equal to the time necessary to reach the maximum height.

( d ) twice the time necessary to reach the maximum height

**Ans:- (d)**

5. A stone is tied to one end of a string. Holding the other end, the string is whirled in a horizontal plane with progressively increasing speed. It breaks at some speed because

( a ) Gravitational forces of the earth are greater than the tension in the string.

( b ) The required centripetal force is greater than the tension sustained by the string.

( c ) The required centripetal force is less than the tension in the string.

( d ) The centripetal force is greater than the weight of the stone.

**Ans:- (b)**

6. Vectors lying in the same or parallel to the same plane are called ————–

( a ) Coplanar vectors

( b ) Equal vector

( c ) Unit Vector

( d ) Displacement vector

**Ans:- (a)**

7. A body makes a displacement of 4 m due East from a point O and then makes displacement of 3 m due North. Its resultant displacement from O

( a ) 7 m

( b ) 1 m

( c ) 5 m

( d ) 1 . 2 m

**Ans:- (c)**

8. A body is moving along a circular path with variable speed, it has

( a ) A radical acceleration

( b ) A tangential acceleration

( c ) Zero acceleration

( d ) Both radical and tangential acceleration

**Ans:- (d)**

9. Circular motion is a ———–

( a ) Motion in one dimension

( b ) Motion in two dimensions

( c ) Motion in three dimensions

( d ) Motion in four dimensions

**Ans:- (b)**

10. A body of mass 500 gram is rotating in a vertical circle of radius 1 m. What is the difference in its kinetic energies at the top and the bottom of the circle?

( a ) 4.9 J

( b ) 19.8 J

( c ) 2.8 J

( d ) 9.8 J

**Ans:- (d)**

11. For a particle performing a U.C.M. the acceleration is

( a ) constant in direction

( b ) constant in magnitude but not in the direction

( c ) constant in magnitude and direction

( d ) constant in neither magnitude nor in direction

**Ans:- (b)**

12. The angle between centripetal acceleration and tangential acceleration is?

( a ) 180°

( b ) 0°

( c ) 90°

( d ) 45°

**Ans:- (c)**

13. Which theorem states that “If a particle under the simultaneous action of three forces is in equilibrium, then each force has a constant ratio with the sine of the angle between the other two forces”?

( a ) Lay’s theorem

( b ) Lami’s Theorem

( c ) Newton’s law

( d ) Faraday’s theorem

**Ans:- (b)**

14. He dimensional formula for normal acceleration is

( a ) LT^{-1}

( b ) L^{2}T^{2}

( c ) L^{3}T^{-2}

( d ) LT^{-2}

**Ans:- (a)**

15. Which is the vector that gives the position of a point with reference to a point other than the origin of the coordinate system?

( a ) Coplanar Vectors

( b ) Equal vector

( c ) Unit Vector

( d ) Displacement vector

**Ans:- (d)**

16. A body is traveling in a circle at constant speed. It

( a ) has an inward acceleration

( b ) has constant velocity.

( c ) has no acceleration

( d ) has an outward radial acceleration

**Ans:- (a)**

17. A book is pushed with an initial horizontal velocity of 5.0 meters per second off the top of a desk. What is the initial 1 vertical velocity of the book?

( a ) 10. m/s

( b ) 0 m/s

( c ) 50 m/s

( d ) 2.5 m/s

**Ans:- (b)**

18. One radian is defined to be the angle subtended where the arc length S is exactly equal to the?

( a ) radius of the circle.

( b ) diameter of the circle.

( c ) circumference of the circle.

( d ) half of radius of the circle.

**Ans:- (a)**

19. Motion in a plane is called ———–

( a ) Motion in one dimension

( b ) Motion in two dimensions

( c ) Motion in three dimensions

( d ) Motion in four dimensions

**Ans:- (b)**

20. A body travels along the circumference of a circle of radius 2 m with a linear velocity of 6 m/s. Then its angular velocity is

( a ) 6 rad /s

( b ) 3 rad /s

( c ) 2 rad / s

( d ) 4 rad / s

**Ans:- (b)**

21. A car sometimes overturns while taking a turn. When it overturns, it is

( a ) The inner wheel which leaves the ground first

( b ) The outer wheel which leaves the ground first

( c ) both the wheel leave the ground simultaneously

( d ) Either inner wheel or the outer wheel leaves the ground

**Ans:- (a)**

22. One° (1°) is equal to?

( a ) 0.1745 rad

( b ) 0.01745 rad

( c ) 0.001745 rad

( d ) 7.1745 rad

**Ans:- (b)**

23. Dot product is distributive, it is given as

( a ) A.(B-C) = A.B*A.C

( b ) A.(B+C) = A.B-A.C

( c ) A.(B+C) = A.B+A.C

( d ) A.(B*C) = A.B/A.C

**Ans:- (c)**

24. One radian is equal to?

( a ) 57.7°

( b ) 53.7°

( c ) 59.3°

( d ) 57.3°

**Ans:- (d)**

25. Acceleration due to gravity

( a ) polar vector

( b ) a scalar

( c ) a vector

( d ) None of these

**Ans:- (a)**

26. A small body attached at the end of an inextensible string completes a vertical circle, then its

( a ) angular momentum remains constant

( b ) linear momentum remains constant

( c ) angular velocity remains constant

( d ) total mechanical energy remains constant

**Ans:- (d)**

27. A body goes round the circumference of a circle of radius 2 m with an angular velocity of 2 rad/s. Its centripetal acceleration is

( a ) 3 m/s²

( b ) 1 . 5 m/s²

( c ) 6 m/s²

( d ) 12 m/s²

**Ans:- (b)**

28. When particle revolves with uniform speed on a circular path

( a ) no force acts on it

( b ) no acceleration acts on it

( c ) no work is done by it

( d ) its velocity is constant

**Ans:- (c)**

29. A body travels along the circumference of a circle of radius 2 m with a linear velocity of 4 m/s. Its centripetal acceleration is

( a ) 8 m/s²

( b ) 16 m/s²

( c ) 10 m/s²

( d ) 4 m/s²

**Ans:- (a)**

30. The angular velocity depends upon the rate of change of the?

( a ) Angular acceleration

( b ) Angular Distance.

( c ) Angular Displacement.

( d ) torque

**Ans :- (c)**

31. A cyclist goes round a circular path of circumference 343 m in s. The angle made by him, with the vertical is

( a ) 440

( b ) 420

( c ) 430

( d ) 450

**Ans:- (d)**

32. When a body P moves on a circular path, the centripetal acceleration is

( a ) directed inwards from P, to the centre of the circle

( b ) directed tangential to the circumference of the circle, at P

( c ) directed perpendicular to the plane of the circle, at P

( d ) directed outward, perpendicular to the circumference of the circle

**Ans:- (a)**

33. How many minimum number of vectors in different planes can be added to give zero resultant?

( a ) 4

( b ) 5

( c ) 3

( d ) 2

**Ans:- (a)**

34. In a vertical circle of radius r at what point in its path, a particle has a tension equal to zero?

( a ) Highest point

( b ) Lowest point

( c ) Any point

( d ) A horizontal point

**Ans:- (a)**

35. A body is traveling in a circle at a constant speed. It

( a ) has a constant velocity

( b ) has no acceleration

( c ) has an inward acceleration

( d ) has an outward radial acceleration

**Ans:- (c)**

36. A book is pushed with an initial horizontal velocity of 5.0 meters per second off the top of a desk. What is the initial vertical velocity of the book?

( a ) 10. m/s

( b ) 0 m/s

( c ) 50 m/s

( d ) 2.5 m/s

**Ans:- (b)**

37. Which of the following conditions are sufficient and essential for a quantity to be a vector?

( a ) Magnitude, direction, and addition, subtraction multiplication and division by vector laws

( b ) Magnitude, direction and combination of vectors by ordinary rules of algebra

( c ) Magnitude and addition, subtraction, multiplication by ordinary rules of algebra

( d ) Magnitude and direction

**Ans:- (a)**

38. A particle is performing a U.C.M. Which is the wrong statement regarding its motion?

( a ) The velocity vector is tangential to the circle

( b ) The acceleration vector is tangential to the circle

( c ) The acceleration vector is directed towards the center of the circle

( d ) The velocity and acceleration vectors are perpendicular to each othe

**Ans:- (b)**

39. A particle has a displacement of 2 units along the x – axis, 1 unit along the y – axis and 2 units along the z – axis. Then the resultant displacement of the particle is

( a ) 3 units

( b ) 5 units

( c ) 4 units

( d ) 1 units

**Ans:- (a)**

40. A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle? The motion takes place in a plane. It follows that

( a ) its velocity is constant

( b ) its acceleration is constant

( c ) its motion is linear

( d ) its motion is circular

**Ans:- (d)**

41. A car is moving on a circular path and takes a turn. If R1 and R² are the reactions on the inner and outer wheels respectively, then

( a ) R1 = >R²

( b ) R1 = R²

( c ) R1 < R²

( d ) R1 > R²

**Ans:- (c)**

42. An airplane is taking a turn in a horizontal plane

( a ) its remains horizontal

( b ) it inclines inward

( c ) it inclines outward

( d ) its wings become vertical

**Ans:- (b)**

43. The tangential component and centripetal component of acceleration are?

( a ) Similar to each other

( b ) Parallel to each other.

( c ) Equal to each other.

( d ) Perpendicular to each other.

**Ans:- (d)**

44. When angular velocity changes with respect to time then?

( a ) an angular acceleration is produced

( b ) a linear acceleration is produced

( c ) it constitute a couple

( d ) a linear velocity is produced

**Ans:- (a)**

45. A can filled with water is revolved in a vertical circle of radius 4 metre and the water does not fall down. The time period of revolution will be

( a ) 4 sec

( b ) 10 sec

( c ) 8 sec

( d ) 1 sec

**Ans:- (a)**

46. Which is a constant for a freely falling object?

( a ) displacement

( b ) velocity

( c ) acceleration

( d ) speed

**Ans:- (c)**

47. Give an example of motion in two dimensions ———–

( a ) Motion along a straight line in any direction

( b ) Bird flying

( c ) A flying kite

( d ) Projectile motion

**Ans:- (d)**

48. Energy dissipated usually appears as

( a ) P.E.

( b ) Heat Energy

( c ) Chemical energy

( d ) Nuclear Energy

**Ans:-(b)**

49. The SI unit of work is

( a ) Newton

( b ) Joule

( c ) Mol

( d ) Calorie

**Ans:-(b)**

50. The value of solar constant.

( a ) 1.4 kW m^{-2}

( b ) kW m^{-2}

( c ) 1.6 kW m^{-2}

( d ) 2 kw m^{-2}

**Ans:-(a)**

51. The commercial unit of electric energy is

( a ) Kilo watt hour

( b ) watt

( c ) Watt hour

( d ) Kilo Watt

**Ans:-(a)**

52. The SI unit of power is

( a ) Joule

( b ) Newton

( c ) Watt

( d ) Kilowatt

**Ans:-(c)**