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. The study of two-dimensional motion mainly requires the use of:

2. A vector quantity is completely specified by:

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

4. A person pulls a cart with a force of at to the horizontal. What is the effective force in the forward direction?

5. On level ground a projectile is fired at speed 50 m/s to hit a target 180 m away. What launch angles (to the nearest 0.01°) are possible? (g = 9.8 m/s²)

6. A vector makes an angle of with the horizontal and has a magnitude of 14 N. What is the value of its vertical component?

7. If a displacement vector of 50 m makes an angle of , its components geometrically will be:

8. Which of the following illustrates the geometric interpretation of multiplying a vector by -2?

9. If and , what is the magnitude of ?

10. Which statement is correct regarding the vertical component of velocity in projectile motion?

11. A rain is falling vertically at 10 m/s. A man runs east at 6 m/s. What is the velocity of rain relative to the man?

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

13. A projectile is launched with velocity at an angle of . What are its horizontal and vertical components of velocity?

14. Why is the path of a projectile symmetric (ignoring air resistance)?

15. At what angle should a projectile be launched for maximum range?

16. Which expression correctly defines the velocity of A relative to B in a plane?

17. A train increases its velocity from 10 m/s to 30 m/s in 10 seconds along a straight line. Its acceleration is:

18. Which physical quantity changes continuously in uniform circular motion?

19. Why is geometric resolution of vectors useful?

20. A particle moves with speed 20 m/s in a circular path of radius 5 m. Find its angular speed.

21. A projectile is fired at 50 m/s at an angle of 45°. Find its time of flight. (g = 10 m/s²)

22. For a projectile launched with speed at angle , what determines the curvature of its trajectory?

23. A geostationary satellite revolves around Earth once every 24 hours. What is its orbital period in seconds?

24. A man walks 4 km east and then 3 km north. Using analytical vector addition, find displacement.

25. When do two objects have zero relative velocity in a plane?

26. The trajectory of a projectile is defined as:

27. The resultant of two vectors and is:

28. A projectile is launched with . Another moves with . What is the relative velocity of A with respect to B?

29. A projectile is launched with initial velocity 20 m/s at 60°. Find its horizontal range. (g = 10 m/s²)

30. Multiplying a vector by a scalar changes:

1. Scalar multiplication of a unit vector results in:

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

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

4. In the same problem (u = 20 m/s, height = 45 m), how far horizontally does the projectile travel before hitting the ground?

5. A block is pulled with a force of at above the horizontal. How much of the force contributes to pulling it along the surface?

6. Multiplying a vector by a scalar changes:

7. A particle moves in a circle of radius with constant speed . Its acceleration is:

8. A displacement vector . What is the effect of multiplying it by 0.5?

9. Which law explains planetary orbits around the Sun?

10. If two vectors of magnitudes 6 and 8 units are perpendicular, what is the graphical magnitude of their resultant?

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

12. When the angle between two vectors is , the parallelogram reduces to:

13. A runner completes circular laps on a track of radius 14 m at a constant speed of 7 m/s. The period of one lap is approximately:

14. Which statement is correct about independence of motion in two dimensions?

15. If a unit vector is multiplied by scalar 7, what is the effect on its magnitude and direction?

16. A projectile is launched with . Another moves with . What is the relative velocity of A with respect to B?

17. Two vectors are and . Find their resultant vector.

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

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

20. Which of the following is an example of a vector quantity?

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

22. In a geometric resolution diagram, the vector is the:

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

24. Pressure is a scalar because:

25. The magnitude of is:

26. Which of the following represents a scalar quantity?

27. A force of is acting at an angle of . Find its horizontal and vertical components.

28. The angle between the resultant vector and one of the given vectors in the parallelogram law can be found using:

29. A cyclist moves along a circular track of radius 70 m. If he completes one revolution in 22 s, find his speed.

30. A particle moves in a circle of radius 2.0 m with linear speed 12.56 m/s. Its angular speed is approximately:

31. A particle starts from rest and moves with constant acceleration in a plane. After 5 s it is at (90 m, 120 m) and its speed is 60 m/s. What is the acceleration vector?

32. If a vector is given as , its magnitude is:

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

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

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

36. A displacement vector of 10 m makes an angle of with the x-axis. What is its x-component?

37. A velocity vector has magnitude 25 m/s and makes an angle of with the horizontal. What is the vertical component of velocity?

38. Which scalar physical quantity remains the same everywhere in the universe for an object?

39. Which of the following is a key advantage of analytical representation of vectors?

40. Vectors and . Find the resultant.

41. 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?

42. The resultant of two vectors and is:

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

44. A body moves in a plane under constant acceleration. If velocity components after time t are and , then magnitude of velocity is:

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

46. 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.

47. A particle completes 1 revolution in 0.25 s. What is its angular velocity?

48. Why is analytical vector addition superior to graphical methods in problem solving?

49. A racing car goes around a circular track of radius 400 m in 40 s. Find its centripetal acceleration.

50. A stone is thrown horizontally from the top of a building 80 m high with speed 10 m/s. Find the horizontal distance it travels before hitting the ground (g = 9.8 m/s²).