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 particle moves in a circle of radius 0.50 m. Its speed increases uniformly from 0 to 20 m/s in 5 s. What is the magnitude of its acceleration at s?

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

3. A projectile is fired with initial speed 40 m/s at angle 30°. Find its horizontal range. (g = 10 m/s²)

4. Why is speed considered a scalar while velocity is not?

5. A body travels 10 m in the first second, 20 m in the next second, and 30 m in the third second along a straight line. The acceleration is:

6. At the maximum height of a projectile’s path, what are the velocity components?

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

8. Which one is a scalar quantity commonly used in thermodynamics?

9. Which of the following is a vector quantity?

10. A force of acts at . Find the effective vertical force acting upwards.

11. Which law explains planetary orbits around the Sun?

12. A projectile is launched at 50 m/s at an angle of 45°. What is its time of flight? (g = 10 m/s²)

13. A target is 500 m due east of the launcher and moves due north at 30 m/s. A projectile is fired at speed 120 m/s, and the short flight allows us to neglect gravity. At what angle north of east should the gun be aimed to hit the target?

14. Which of the following best defines projectile motion?

15. At the highest point of a projectile trajectory, which statement is correct?

16. The trajectory of a projectile is given by:

17. A car is moving along a circular track of radius 50 m with speed 10 m/s. What is the centripetal acceleration?

18. Two trains move in opposite directions: Train A at 72 km/h east, Train B at 54 km/h west. What is the velocity of A relative to B?

19. Two cars approach a crossing: Car A moving east at 20 m/s, Car B moving north at 15 m/s. What is the velocity of A relative to B?

20. A force of acts at an angle of with the horizontal. Find the horizontal and vertical components that can be used to solve force balance problems.

21. Temperature is considered a scalar because:

22. A projectile is fired at speed 20 m/s at angle 60° with the horizontal, onto a plane inclined at 30°. What is its time of flight? (g = 10 m/s²)

23. A car travels east 40 km and then north 30 km. Why do we need two-dimensional motion analysis here?

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

25. A projectile is launched horizontally at 20 m/s from a 45 m high cliff. How far from the base of the cliff does it land? (g = 10 m/s²)

26. A projectile is fired with velocity 50 m/s at 37°. What is its maximum height? (g = 10 m/s²)

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

28. The geometric representation of vector resolution is shown as:

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

30. A particle moves along a semicircular path of radius 7 m. What is the displacement after completing the semicircle?

1. For u = 20 m/s at 30° (g = 9.8 m/s^2), the maximum height reached is:

2. A boat crosses a river width 200 m in 50 s. River current flows east at 3 m/s. What is the eastward drift of the boat?

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

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

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

6. Why is relative velocity important in real-world applications like boats and airplanes?

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

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

9. A projectile is launched with speed 30 m/s at angle 35° above the horizontal on a downward slope of angle 15° (slope falls by 15° from the horizontal). Find the time of flight until it strikes the slope. (g = 9.8 m/s^2)

10. Which of the following best describes the role of horizontal and vertical components in projectile motion?

11. 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)

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

13. Graphically, if two equal and opposite vectors are added:

14. For a given velocity, what is the angle of projection that produces maximum range?

15. Car A moves east at 60 km/h and Car B moves north at 80 km/h. The speed of A relative to B is:

16. 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?

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

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

19. In 3D Cartesian coordinates, if and , then is:

20. The vector has a magnitude of:

21. An airplane flies at 200 m/s north relative to air. Wind blows at 50 m/s east. What is airplane’s velocity relative to ground?

22. If two vectors of 6 N and 8 N act at right angles, the resultant according to parallelogram law is:

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

24. A force of 60 N makes an angle of with the x-axis. Resolve it geometrically into components.

25. A target 150 m due east moves due north at 10 m/s. A projectile is fired from the origin at speed 100 m/s (neglect gravity for the short flight). At what yaw angle to the east (towards the north) should it be aimed to hit the target?

26. If and , what is the resultant?

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

28. 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)

29. A projectile is launched at 50 m/s at an angle of 45°. What is its time of flight? (g = 10 m/s²)

30. A particle moves in a circle of radius 0.50 m. Its speed increases uniformly from 0 to 20 m/s in 5 s. What is the magnitude of its acceleration at s?

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

32. With position vectors , which defines relative velocity?

33. If and , then graphically equals:

34. 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).

35. 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?

36. Which statement is correct about representing vectors in Cartesian form?

37. Which of the following is a scalar quantity?

38. Pressure is a scalar because:

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

40. A body moves in a circle of radius 5 m at a constant speed of 10 m/s. The centripetal acceleration is:

41. A vector quantity is completely specified by:

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

43. The centripetal force keeping planets in orbit around the Sun is provided by:

44. The triangle law of vector addition is equivalent to:

45. Why is it necessary to study motion in two dimensions?

46. A satellite orbits Earth in a circle of radius 7000 km with speed 7.5 km/s. What provides its centripetal force?

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

48. In circular motion with changing speed, a particle has m/s on a circle of radius 10 m and angular acceleration rad/s^2 at an instant. The magnitude of total acceleration is:

49. A stone is thrown vertically upward with speed 20 m/s. Using equations of motion, what is its velocity after 3 seconds? (g = 10 m/s²)

50. Two trains move on parallel tracks: Train A at 72 km/h east, Train B at 54 km/h east. What is the velocity of A relative to B?