Class 11 Physics — Chapter 4: Motion in a Plane Online Test

1. If the frequency of a wheel is 10 Hz, what is its period?

2. Which relation connects period T, frequency f, and angular velocity ω?

3. A projectile is launched at angle onto a plane inclined at . Which relation gives its range along the plane?

4. In the same case, what is the range measured along the inclined plane?

5. Which statement is correct regarding the horizontal component of velocity in projectile motion (neglecting air resistance)?

6. If object A has velocity and object B has velocity , then magnitude of is:

7. If and , then equals:

8. A projectile is fired at 20 m/s horizontally from a cliff 45 m high. Find the time it takes to hit the ground. (g = 10 m/s²)

9. If a particle has initial velocity and constant acceleration , what is its velocity after 5 seconds?

10. A body moves in a plane with constant acceleration . If initial velocity is zero, what is the displacement after 4 s?

11. For the same projectile, what is the y-coordinate after time ?

12. The trajectory of a projectile is given by:

13. A satellite of mass m revolves around Earth in a circular orbit of radius r with speed v. The centripetal force is provided by gravity. Which equation represents this balance?

14. In projectile motion, why is the trajectory parabolic instead of linear?

15. Which of the following best illustrates why two-dimensional motion must be studied separately from one-dimensional motion?

16. Heat energy is considered a scalar because:

17. If a displacement vector has components m and m, what is its magnitude?

18. A vector has components and . What angle does it make with the x-axis?

19. If , what is the magnitude of ?

20. Multiplying a vector by a scalar :

1. In the geometric resolution of a vector making an angle with the x-axis, the x-component is represented by:

2. In analytical representation, the negative sign of a component indicates:

3. A car starts from rest and moves with uniform acceleration along a straight road. What is the distance covered in 5 seconds?

4. A projectile is thrown with velocity 25 m/s at to the horizontal. What is its vertical velocity component at the time of projection?

5. Which pair of equations correctly describes motion in two dimensions under constant acceleration?

6. The resultant of the resolved components of a vector is always:

7. A vector is represented geometrically by a line 4 cm long. What will represent on the same scale?

8. Let and be velocities of A and B with respect to ground. Which Galilean relation is correct?

9. Why is studying motion in two dimensions important for space science?

10. A football is kicked with velocity 25 m/s at . What is its vertical velocity component at projection?

11. A projectile is fired from the ground with speed 60 m/s and must pass through the point (x, y) = (180 m, 36 m). For g = 9.8 m/s², which launch angles are possible?

12. Which of the following graphical methods is most commonly used to represent a vector?

13. If a ball is projected upwards with velocity , the maximum height attained is:

14. Which of these cannot be represented by a directed line (arrow)?

15. A car travels 100 m north and then 100 m east. Which of the following represents its displacement?

16. A displacement of 20 m has components 12 m along the x-axis and 16 m along the y-axis. Verify the magnitude.

17. The parallelogram law of vector addition is equivalent to which algebraic law?

18. A car accelerates from rest with . After 5 seconds, what is its velocity vector?

19. Two velocity vectors are and . Find their resultant magnitude.

20. A displacement vector is represented in Cartesian coordinates as . Its magnitude and direction angle are:

21. Which statement is true about scalar multiplication in geometry?

22. From level ground, the projectile must pass exactly through the point . What is the minimum launch speed (choose the best angle)? Use m/s^2.

23. If , what is the magnitude of ?

24. If A is at rest in the ground frame () and B moves with , what is ?

25. A velocity vector m/s is multiplied by scalar 3. What is the magnitude of the new velocity vector?

26. A car moves on a circular track of radius 50 m with a constant speed of 10 m/s. What is its centripetal acceleration?

27. A particle starts from rest and accelerates at . Find its displacement after 2 seconds.

28. A vector quantity is completely specified by:

29. Which factor increases both the time of flight and the maximum height of a projectile?

30. A projectile is launched with . What is the total initial velocity and launch angle?

1. A force of 100 N acts at an angle of with the horizontal. What is the horizontal component of this force?

2. If two vectors of equal magnitude act in opposite directions, the result of their subtraction graphically is:

3. Two trains move parallel in same direction: Train A at 72 km/h, Train B at 54 km/h. Velocity of A relative to B is:

4. Which of the following statements is correct about centripetal acceleration?

5. Which of the following best explains why a vector multiplied by a negative scalar changes its direction?

6. An object moves with displacement vectors , , and . Find net displacement.

7. A man walks 4 km towards the east and then 3 km towards the north. What is his resultant displacement?

8. The process of resolving a vector into components means:

9. Which statement correctly describes the difference between velocity and speed?

10. A particle in UCM completes one revolution in time T. What is its angular velocity?

11. If a fan rotates at 120 revolutions per minute (rpm), what is its frequency in Hz?

12. Which of the following is an example of curvilinear motion?

13. Why is studying motion in two dimensions important for space science?

14. Which of the following is always true for a projectile (neglecting air resistance)?

15. If the string breaks while whirling a stone in a circle, what path does the stone follow?

16. If the time period of a particle in uniform circular motion is T, its angular speed is:

17. Which mathematical tool helps in resolving two-dimensional motion into independent directions?

18. Two aircraft move in a plane. A starts at (0,0) with m/s. B starts at (3000,0) m with m/s. What is the minimum separation between them?

19. For the same projectile, what is the y-coordinate after time ?

20. An athlete runs 300 m east and then 400 m north. What is his resultant displacement?

21. Which of these statements is correct regarding scalars and vectors?

22. Pressure is a scalar because:

23. A projectile is launched with speed 50 m/s at . What is its vertical velocity component at projection?

24. If object A has velocity and object B has velocity , then magnitude of is:

25. The magnitude of a vector is represented in a diagram by:

26. A boat (speed 6 m/s in still water) must cross a 240 m wide river with current 3 m/s east. If the boat heads straight across (minimum-time strategy), what are the crossing time and downstream drift?

27. A velocity vector has components . Express it in analytical form and find magnitude.

28. A projectile is launched at 30 m/s making 60° with the horizontal. Find its initial vertical velocity component.

29. A stone tied to a string of length 2 m is whirled in a horizontal circle at a speed of 6 m/s. What is the centripetal acceleration?

30. A displacement of 20 m has components 12 m along the x-axis and 16 m along the y-axis. Verify the magnitude.

31. A car moves 100 m east and then 100 m north. What is the resultant displacement?

32. A satellite of mass 1000 kg orbits Earth at a height where the radius of orbit is . If gravitational constant and Earth’s mass , what is the orbital speed?

33. A vector quantity is completely specified by:

34. Which condition is essential for a satellite to be geostationary?

35. A man rows a boat across a river 100 m wide. If he rows with speed across and current flows at , how far downstream does he land?

36. The motion of a car turning around a roundabout is:

37. A velocity vector of 15 m/s east is multiplied by -1. The new velocity is:

38. A jet plane flying horizontally at 200 m/s drops a bomb. Neglecting air resistance, the bomb will:

39. A velocity vector m/s is multiplied by scalar 3. What is the magnitude of the new velocity vector?

40. A particle moves with angular velocity . How much angle (in radians) does it sweep in 3 seconds?

41. From level ground, the projectile must pass exactly through the point . What is the minimum launch speed (choose the best angle)? Use m/s^2.

42. Which of the following quantities has both magnitude and direction?

43. A projectile is fired with velocity making an angle with the horizontal. The horizontal range is maximum when:

44. A bullet moves with velocity 200 m/s and strikes a target making an angle of with the horizontal. Find its horizontal component of velocity.

45. In the parallelogram method, if two vectors and are at right angles, then the magnitude of the resultant is:

46. A car travels 100 m north and then 100 m east. Which of the following represents its displacement?

47. Which relation connects linear speed v, angular velocity ω, and radius r in uniform circular motion?

48. A child of mass 25 kg sits in a swing moving in a circle of radius 2 m at 3 m/s. Find the centripetal force.

49. Which of the following is true for projectile motion on an inclined plane?

50. A projectile must just clear the top of a hill located 60 m away and 25 m high when fired at 45°. What is the minimum launch speed? (g = 9.8 m/s²)