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 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?

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

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

4. 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)

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

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

7. 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?

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

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

10. Scalar multiplication of a unit vector results in:

11. According to the parallelogram law of vector addition, if two vectors are represented by adjacent sides of a parallelogram, the resultant is represented by:

12. A vector of magnitude 15 units is inclined at with the x-axis. Find its horizontal component.

13. A particle’s velocity at t = 0 is . It moves under constant acceleration . What is its velocity after 3 s?

14. Heat energy is considered a scalar because:

15. Why is Cartesian representation particularly useful for vector addition?

16. Which of the following is true about centripetal force?

17. A car moves with velocity at north of east. Find its velocity components.

18. A runner completes one full lap of 400 m around a circular track. Which quantity is scalar?

19. Why is geometric resolution of vectors useful?

20. Which situation does not involve centripetal force?

21. Multiplying a vector by a scalar changes:

22. Why is projectile motion called two-dimensional motion?

23. Studying motion in two dimensions is important in sports because:

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

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

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

27. With speed m/s, at what launch angle will the maximum height be m? (g = 9.8 m/s^2)

28. A particle has velocity components and . What is the resultant velocity magnitude?

29. A vector of 20 N points north. What happens when it is multiplied by -2?

30. The trajectory of a projectile is defined as:

1. The resultant of two vectors and is:

2. Which of the following is true about graphical vector addition?

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

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

5. The magnitude of is:

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

7. A projectile has horizontal velocity 30 m/s and vertical velocity 40 m/s at a given instant. What is its speed?

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

9. A boat has velocity east relative to water. If river current flows south, find the resultant velocity.

10. An airplane flies due north at 400 km/h while a wind of 300 km/h blows due east. What is the resultant velocity of the airplane?

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

12. Vector subtraction can be graphically represented as:

13. Why is projectile motion called two-dimensional motion?

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

15. 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?

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

17. A projectile is launched with . Find its y-coordinate after 2 seconds. (g = 10 m/s²)

18. 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).

19. 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?

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

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

22. A car is moving with velocity north and a wind blows with velocity east. The resultant velocity of the car is:

23. A particle moves along x = 3t, y = 4t (t in seconds). Its trajectory is:

24. A projectile is fired with speed 30 m/s at 50°. At what time does its velocity vector make 45° below the horizontal? (g = 9.8 m/s^2)

25. A projectile is projected with speed 40 m/s at 45°. The trajectory equation in terms of x (g = 10 m/s²) is:

26. In analytical representation, a vector in two dimensions is expressed as:

27. Which of the following is a correct example of a vector in physics?

28. A vector of magnitude 15 units is inclined at with the x-axis. Find its horizontal component.

29. A projectile is launched uphill with , plane slope . Which condition will maximize its range?

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

31. 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?

32. What is the relationship between maximum height (H) and time of flight (T) in projectile motion?

33. If a displacement vector of 10 m north is multiplied by -3, the new vector is:

34. The velocity of a particle in two dimensions is given by . Its acceleration at time is:

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

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

37. 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:

38. What is the smallest launch speed needed to hit a target at from the origin on level ground (choose the best launch angle)? Take m/s².

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

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

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

42. If and , what is the resultant?

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

44. 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)

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

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

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

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

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

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