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 projectile is fired with velocity u at angle θ. Which of the following is correct about its velocity components?

2. A bus moving along a straight road with acceleration is an example of:

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

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

5. 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.

6. 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?

7. A ball is projected with velocity 10 m/s making an angle of with the horizontal. What is its horizontal velocity component?

8. 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)

9. Why does a body moving in a circle require centripetal acceleration?

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

11. A 0.5 kg ball moves in a circle of radius 2 m with angular speed 4 rad/s. What is the centripetal force?

12. Multiplying a vector by a scalar changes:

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

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

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

16. Which rule helps to determine the direction of the resultant in vector subtraction graphically?

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

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

19. A vector quantity is completely specified by:

20. 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?

21. The component of vector along the x-axis is:

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

23. 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?

24. A projectile is launched from a 60 m high cliff with speed 30 m/s at 40° above the horizontal. Neglecting air resistance, what is the horizontal range from the foot of the cliff? (g = 9.8 m/s²)

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

26. Why does the effective acceleration along an inclined plane appear as ?

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

28. Using the data of Question 438, what is the range measured along the slope?

29. 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)

30. A projectile is launched with speed 30 m/s at 50° up a slope inclined at 20° to the horizontal. Find the time of flight until it strikes the slope. (g = 9.8 m/s²)

1. Why are the horizontal and vertical components of projectile velocity treated separately?

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. 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?

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

5. Car A moves with velocity east and Car B moves with velocity north. What is the velocity of A relative to B?

6. A bus moving along a straight road with acceleration is an example of:

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

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

9. A plane flies at north while wind blows at east. What is the resultant velocity magnitude?

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

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

12. 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?

13. A rotating disc makes 600 revolutions per minute. What is its angular velocity?

14. A car accelerates uniformly from rest along x with . Find displacement after 5 s.

15. If and , what is the magnitude of ?

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

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

18. 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)

19. A projectile is fired uphill along a slope of 15° with speed 40 m/s. For maximum range along the slope, what should the launch angle be (measured from horizontal), and what is that maximum range along the slope? (g = 9.8 m/s²)

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

21. Which of the following pairs correctly distinguishes a scalar and a vector?

22. Which of the following best defines projectile motion?

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

24. Why is the component method of vector addition widely used in problem solving?

25. The parallelogram law of vector addition states that if two vectors are represented in magnitude and direction by the two adjacent sides of a parallelogram, then their resultant is represented by:

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

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

28. 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)

29. The magnitude of a vector becomes four times its original value if it is multiplied by:

30. If and , what is ?

31. The direction of a vector in a plane is measured with respect to:

32. A projectile must clear a vertical wall 15 m high located 60 m from the launch point and then land back on level ground at x = 180 m. What is the minimum launch speed required? (Take g = 9.8 m/s^2)

33. The magnitude of the resultant of two vectors is maximum when the angle between them is:

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

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

36. A football is kicked with an initial velocity of 20 m/s at . What is its vertical component of velocity?

37. In two-dimensional motion, acceleration can be represented as:

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

39. A particle is moving along a circular path of radius with speed . What is its centripetal acceleration?

40. Why do astronauts in satellites experience weightlessness?

41. The magnitude of a vector is given by:

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

43. 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)

44. The velocity components of a projectile at time are:

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

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

47. 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?

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

49. 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)

50. 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)