Motion in two dimensions MCQs - Physics 11th - Chapter 4 - Sindh Textbook Board

  

MOTION IN TWO DIMENSIONS

1. Projectile motion refers to the motion of an object:

• a) Along a straight line
• b) In a circular path
• c) In two dimensions
• d) None of the above

2. The maximum height attained by a projectile depends on:

• a) Initial velocity only
• b) Angle of projection only
• c) Both initial velocity and angle of projection
• d) Mass of the object

3. The range of a projectile is defined as:

• a) The maximum height attained by the projectile
• b) The total distance covered by the projectile
• c) The horizontal distance covered by the projectile
• d) The vertical distance covered by the projectile

4. The maximum range of a projectile occurs when the angle of projection is:

• a) 0 degrees
• b) 45 degrees
• c) 90 degrees
• d) It does not depend on the angle of projection

5. The trajectory of a projectile is:

• a) A straight line
• b) A circle
• c) A parabola
• d) An ellipse

6. Which of the following is an application of projectile motion?

• a) Rocket launch
• b) Car race
• c) Pendulum motion
• d) Rolling ball

7. Uniform circular motion is defined as the motion of an object:

• a) Moving at a constant speed in a straight line
• b) Moving at a constant speed in a circular path
• c) Accelerating in a straight line
• d) Accelerating in a circular path

8. Angular displacement is defined as the:

• a) Change in speed of an object
• b) Change in direction of an object
• c) Change in position of an object
• d) Change in angle of an object's position

9. Angular velocity is defined as the:

• a) Change in speed of an object
• b) Change in direction of an object
• c) Change in position of an object
• d) Change in angle of an object's position per unit time

10. Angular acceleration is defined as the:

• a) Change in speed of an object per unit time
• b) Change in direction of an object per unit time
• c) Change in position of an object per unit time
• d) Change in angular velocity of an object per unit time

11. The relation between angular and linear quantities is given by:

• a) Angular velocity = Linear velocity × Radius
• b) Angular acceleration = Linear acceleration × Radius
• c) Angular displacement = Linear displacement / Radius
• d) Angular velocity = Linear velocity / Radius

12. Tangential velocity is defined as the:

• a) Velocity in the direction perpendicular to the circular path
• b) Velocity in the direction parallel to the circular path
• c) Velocity at the highest point of the circular path
• d) Velocity at the lowest point of the circular path

13. The time period of an object in uniform circular motion is defined as the:

• a) Time taken to complete one revolution
• b) Time taken to reach the maximum speed
• c) Time taken to reach the maximum height
• d) Time taken to reach the lowest point

14. Centripetal acceleration is defined as the:

• a) Acceleration in the direction perpendicular to the circular path
• b) Acceleration in the direction parallel to the circular path
• c) Acceleration at the highest point of the circular path
• d) Acceleration at the lowest point of the circular path

15. Centripetal force is defined as the:

• a) Force in the direction perpendicular to the circular path
• b) Force in the direction parallel to the circular path
• c) Force at the highest point of the circular path
• d) Force at the lowest point of the circular path

16. The motion of an object thrown into the air at an angle with respect to the horizontal is known as:

• a) Linear motion
• b) Circular motion
• c) Projectile motion
• d) Uniform motion

17. The maximum height of a projectile depends on:

• a) Initial velocity and angle of projection
• b) Initial velocity and time of flight
• c) Angle of projection and time of flight
• d) Mass of the object and angle of projection

18. The horizontal component of the velocity of a projectile remains:

• a) Constant throughout the motion
• b) Increases with time
• c) Decreases with time
• d) Becomes zero at the highest point

19. The vertical component of the velocity of a projectile changes:

• a) Constant throughout the motion
• b) Increases with time
• c) Decreases with time
• d) Becomes zero at the highest point

20. The time of flight of a projectile depends on:

• a) Initial velocity and angle of projection
• b) Initial velocity and maximum height
• c) Angle of projection and maximum height
• d) Mass of the object and angle of projection

21. The range of a projectile is maximum when the angle of projection is:

• a) 0 degrees
• b) 45 degrees
• c) 90 degrees
• d) 180 degrees

22. The trajectory of a projectile is symmetric about:

• a) The x-axis
• b) The y-axis
• c) The origin
• d) The point of projection

23. The time taken by a projectile to reach the highest point is equal to the time taken to:

• a) Reach the ground
• b) Complete one-fourth of the range
• c) Complete half of the range
• d) Complete three-fourths of the range

24. Which of the following is not an application of projectile motion?

• a) Basketball shot
• b) Fireworks display
• c) Roller coaster ride
• d) Circular motion of a car

25. Uniform circular motion is characterized by:

• a) Constant linear velocity
• b) Constant angular velocity
• c) Constant linear acceleration
• d) Constant angular acceleration

26. Angular displacement is measured in:

• a) Meters (m)
• b) Meters per second (m/s)
• c) Radians (rad)
• d) Radians per second (rad/s)

27. Angular velocity is measured in:

• a) Meters (m)
• b) Meters per second (m/s)
• c) Radians (rad)
• d) Radians per second (rad/s)

28. Angular acceleration is measured in:

• a) Meters (m)
• b) Meters per second (m/s)
• c) Radians (rad)
• d) Radians per second (rad/s²)

29. The relationship between linear and angular velocity is given by:

• a) Linear velocity = Angular velocity × Radius
• b) Linear velocity = Angular velocity × Diameter
• c) Linear velocity = Angular velocity ÷ Radius
• d) Linear velocity = Angular velocity ÷ Diameter

30. The relationship between linear and angular acceleration is given by:

• a) Linear acceleration = Angular acceleration × Radius
• b) Linear acceleration = Angular acceleration × Diameter
• c) Linear acceleration = Angular acceleration ÷ Radius
• d) Linear acceleration = Angular acceleration ÷ Diameter

31. Tangential velocity is directly proportional to:

• a) Angular velocity
• b) Angular acceleration
• c) Centripetal acceleration
• d) Centripetal force

32. The time period of an object in uniform circular motion is the reciprocal of:

• a) Angular velocity
• b) Angular acceleration
• c) Centripetal acceleration
• d) Centripetal force

33. Centripetal acceleration is directed:

• a) Towards the center of the circular path
• b) Away from the center of the circular path
• c) Tangentially to the circular path
• d) Perpendicular to the circular path

34. Centripetal force is responsible for:

• a) Keeping the object moving in a circular path
• b) Changing the direction of the object's motion
• c) Changing the speed of the object's motion
• d) All of the above

35. The centripetal force acting on an object in uniform circular motion is proportional to:

• a) The mass of the object
• b) The radius of the circular path
• c) The square of the object's velocity
• d) All of the above

36. A projectile is launched with an initial velocity of 30 m/s at an angle of 60 degrees. What is the vertical component of its initial velocity?

• a) 15 m/s
• b) 25 m/s
• c) 30 m/s
• d) 60 m/s

37. A projectile is launched at an angle of 45 degrees with an initial velocity of 20 m/s. What is the time of flight?

• a) 2 s
• b) 4 s
• c) 6 s
• d) 8 s

38. A projectile is launched with an initial velocity of 40 m/s at an angle of 30 degrees. What is the maximum height reached by the projectile?

• a) 20 m
• b) 40 m
• c) 60 m
• d) 80 m

39. A projectile is launched with an initial velocity of 50 m/s at an angle of 30 degrees. What is the range of the projectile?

• a) 50 m
• b) 100 m
• c) 150 m
• d) 200 m

40. A projectile is launched with an initial velocity of 30 m/s at an angle of 45 degrees. What is the time taken by the projectile to reach the highest point of its trajectory?

• a) 1.5 s
• b) 2.0 s
• c) 2.5 s
• d) 3.0 s

41. A car is moving in a circular path with a radius of 10 meters. If the car completes one full revolution in 4 seconds, what is its angular velocity?

• a) π/2 rad/s
• b) π rad/s
• c) 2π rad/s
• d) 4π rad/s

42. A wheel is rotating with an angular velocity of 4 rad/s. If the radius of the wheel is 0.5 meters, what is the linear velocity of a point on the rim of the wheel?

• a) 2 m/s
• b) 4 m/s
• c) 8 m/s
• d) 16 m/s

43. An object is moving in a circular path with a linear velocity of 10 m/s. If the radius of the path is 2 meters, what is its angular velocity?

• a) 2 rad/s
• b) 5 rad/s
• c) 10 rad/s
• d) 20 rad/s

44. An object is moving in a circular path with a linear velocity of 5 m/s. If its angular velocity is 2 rad/s, what is the radius of the circular path?

• a) 2.5 m
• b) 5.0 m
• c) 7.5 m
• d) 10.0 m

45. An object undergoes uniform circular motion with a radius of 6 meters. If its centripetal acceleration is 12 m/s², what is its tangential velocity?

• a) 2 m/s
• b) 4 m/s
• c) 6 m/s
• d) 8 m/s

46. An object is moving in a circular path with a radius of 8 meters. If its tangential velocity is 10 m/s, what is its centripetal acceleration?

• a) 1.25 m/s²
• b) 2.5 m/s²
• c) 5 m/s²
• d) 10 m/s²

47. An object is moving in a circular path with a radius of 12 meters. If its angular velocity is 3 rad/s, what is its centripetal acceleration?

• a) 9 m/s²
• b) 12 m/s²
• c) 18 m/s²
• d) 36 m/s²

48. An object undergoes uniform circular motion with a tangential velocity of 6 m/s. If its centripetal acceleration is 4 m/s², what is the radius of the circular path?

• a) 9 m
• b) 12 m
• c) 18 m
• d) 24 m

49. The time period of a pendulum is 2 seconds. What is its frequency?

• a) 0.5 Hz
• b) 1 Hz
• c) 2 Hz
• d) 4 Hz

50. An object is moving in a circular path with a radius of 5 meters. If its centripetal force is 100 N, what is its mass?

• a) 5 kg
• b) 10 kg
• c) 20 kg
• d) 25 kg

ANSWER KEY:

1. c) In two dimensions
2. c) Both initial velocity and angle of projection
3. c) The horizontal distance covered by the projectile
4. b) 45 degrees
5. c) A parabola
6. a) Rocket launch
7. b) Moving at a constant speed in a circular path
8. d) Change in angle of an object's position
9. d) Change in angle of an object's position per unit time
10. d) Change in angular velocity of an object per unit time
11. d) Angular velocity = Linear velocity / Radius
12. b) Velocity in the direction parallel to the circular path
13. a) Time taken to complete one revolution
14. a) Acceleration in the direction perpendicular to the circular path
15. a) Force in the direction perpendicular to the circular path
16. c) Projectile motion
17. a) Initial velocity and angle of projection
18. a) Constant throughout the motion
19. c) Decreases with time
20. a) Initial velocity and angle of projection
21. b) 45 degrees
22. c) The origin
23. c) Complete half of the range
24. d) Circular motion of a car
25. b) Constant angular velocity
26. c) Radians (rad)
27. d) Radians per second (rad/s)
28. d) Radians per second (rad/s²)
29. a) Linear velocity = Angular velocity × Radius
30. c) Linear acceleration = Angular acceleration ÷ Radius
31. a) Angular velocity
32. a) Angular velocity
33. a) Towards the center of the circular path
34. a) Keeping the object moving in a circular path
35. b) The radius of the circular path
36. a) 15 m/s
37. b) 4 s
38. c) 60 m
39. b) 100 m
40. a) 1.5 s
41. c) 2π rad/s
42. b) 4 m/s
43. c) 10 rad/s
44. a) 2.5 m
45. b) 4 m/s
46. d) 10 m/s²
47. c) 18 m/s²
48. b) 12 m
49. b) 1 Hz
50. b) 10 kg