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

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

3. A velocity vector has components and . What is the magnitude of the velocity?

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

5. Geometric resolution of a vector means:

6. Why is uniform circular motion considered accelerated motion?

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

8. Which of the following is not a scalar quantity?

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

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

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

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

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

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

15. A projectile is launched from a 50 m high cliff with speed 25 m/s at 35° above horizontal. Where does it land measured horizontally from the foot of the cliff? (g = 9.8 m/s²)

16. If two equal vectors of magnitude are inclined at angle , their resultant magnitude by parallelogram law is:

17. Which of the following is a scalar quantity?

18. 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?

19. Which of the following is NOT an application of motion in a plane?

20. In two-dimensional motion with constant acceleration, the general position equations are:

21. If two vectors and are represented as adjacent sides of a triangle, the resultant is:

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

23. A stone tied to a string is whirled in a horizontal circle at speed 15 m/s and radius 3 m. If the string can withstand a maximum tension of 150 N, what is the maximum mass of the stone?

24. The main advantage of resolving motion into two perpendicular components is:

25. A vector inclined at to the x-axis has a vertical component of:

26. A vector is fully specified by:

27. A projectile is launched with velocity 40 m/s at an angle of 30° above the horizontal. What is its maximum height? (g = 10 m/s²)

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

29. Which statement about equations of motion with constant acceleration is correct?

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

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

2. 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?

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

4. A vector of magnitude 25 units is drawn making an angle of with the x-axis. What are its components geometrically?

5. A force N acts along with N. Find the resultant force magnitude.

6. Geometrically, multiplying a vector by a positive scalar :

7. A particle moves in a circle of radius 2.0 m. Its speed is 25 m/s and its tangential acceleration is 30 m/s^2 at an instant. What is the angle between its total acceleration vector and its instantaneous velocity vector?

8. A stone is thrown horizontally with velocity 20 m/s from a height of 80 m. How far from the base of the tower will it strike the ground? (g = 9.8 m/s^2)

9. If a force vector N is multiplied by , what is the result?

10. A projectile is launched with velocity 40 m/s at an angle of 30° above the horizontal. What is its maximum height? (g = 10 m/s²)

11. In the triangle law, the angle between the two vectors directly affects:

12. A projectile is launched at speed 35 m/s at 55° and lands on ground 20 m below the launch level. Find its time of flight. (g = 9.8 m/s²)

13. A shell is fired from level ground with speed 40 m/s at 30°. At the highest point it explodes into two equal fragments; one fragment drops vertically from that point. Where (measured from the launch point) does the other fragment land? (g = 9.8 m/s²)

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

15. For the same launch (u = 20 m/s, θ = 30°, g = 9.8 m/s^2), the time of flight is approximately:

16. Which of the following is constant in uniform circular motion?

17. A projectile is thrown with a velocity of at . What is its horizontal velocity component used to calculate range?

18. A river flows east at 4 m/s. A swimmer can swim at 3 m/s relative to water and wants to cross straight north. At what angle upstream should he swim relative to north?

19. Scalar multiplication of a unit vector results in:

20. A target initially at (200 m, 0) moves left at 10 m/s. A projectile is launched from the origin at speed 60 m/s to intercept the target at the same level (air resistance neglected). What launch angle should be used? (g = 9.8 m/s²)

21. If and , then equals:

22. If and , what is the resultant?

23. A wheel rotates at 5 Hz. How many revolutions will it make in 2 minutes?

24. An airplane taking a curved turn in the sky is an example of:

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

26. A projectile launched with at . What are the acceleration components (neglecting air resistance)?

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

28. Which of the following is an example of a scalar quantity?

29. Which law explains planetary orbits around the Sun?

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

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

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

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

34. Aircraft A flies east from O at 250 m/s. At , aircraft B is 3000 m due north of O flying south at 200 m/s. What is the minimum separation between them (assume level flight and straight-line speeds)?

35. Which variable is eliminated to derive the trajectory equation in terms of x and y?

36. A projectile is launched up an inclined plane with initial velocity at angle with the horizontal. If the plane makes angle with horizontal, which equation represents the time of flight?

37. The graphical method of vector subtraction is equivalent to:

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

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

40. If and , then graphically is:

41. The head-to-tail rule of vector addition states that:

42. 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?

43. Multiplying a vector by a negative scalar results in:

44. If two equal vectors of magnitude are inclined at angle , their resultant magnitude by parallelogram law is:

45. A vector quantity is completely specified by:

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

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

48. Which of the following conditions makes the parallelogram law equivalent to the Pythagoras theorem?

49. Why does the path of a projectile become parabolic under constant acceleration?

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