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Class 11 Physics — Chapter 4: Motion in a Plane Online Test

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Class 11 Physics: Motion in a Plane Online Test (Paper 1)

Welcome to Paper 1! This is your foundation to build confidence and get you ready to tackle the challenges ahead.

  • Total Questions: 20
  • Time Allotted: 30 minutes
  • Passing Score: 40%
  • Randomization: No
  • Certificate: No
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 20

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

2 / 20

2. Which relation connects period T, frequency f, and angular velocity ω?

3 / 20

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

4 / 20

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

5 / 20

5. Which statement is correct regarding the horizontal component of velocity in projectile motion (neglecting air resistance)?

6 / 20

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

7 / 20

7. If and , then equals:

8 / 20

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 / 20

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

10 / 20

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

11 / 20

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

12 / 20

12. The trajectory of a projectile is given by:

13 / 20

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 / 20

14. In projectile motion, why is the trajectory parabolic instead of linear?

15 / 20

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

16 / 20

16. Heat energy is considered a scalar because:

17 / 20

17. If a displacement vector has components m and m, what is its magnitude?

18 / 20

18. A vector has components and . What angle does it make with the x-axis?

19 / 20

19. If , what is the magnitude of ?

20 / 20

20. Multiplying a vector by a scalar :

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Class 11 Physics: Motion in a Plane Online Test (Paper 2)

Welcome to Paper 2! You’ve mastered the basics, and now it’s time to test your understanding with a more challenging set of questions.

Get new questions on each attempt

  • Total Questions: 30
  • Time Allotted: 45 minutes
  • Passing Score: 50%
  • Randomization: Yes
  • Certificate: No
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 30

1. Point B is 300 m east and 200 m north of point A across a river. Current is 3 m/s east; a boat can do 5 m/s in still water. At what heading (east of north) should the boat aim to go straight to B in the shortest time, and what is that time?

2 / 30

2. A projectile is fired with a velocity of 50 m/s at an angle of with the horizontal. Find its horizontal component of velocity.

3 / 30

3. The triangle law of vector addition states that if two vectors are represented by two sides of a triangle taken in order, then the third side taken in the opposite order represents:

4 / 30

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

5 / 30

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

6 / 30

6. 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)

7 / 30

7. Two forces east and north act on a body. Find the resultant force.

8 / 30

8. Why is uniform circular motion considered accelerated motion?

9 / 30

9. The scalar multiplication of a zero vector by any scalar results in:

10 / 30

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

11 / 30

11. A boat moves with velocity relative to ground. The river current flows with velocity relative to ground. What is the velocity of the boat relative to the river?

12 / 30

12. If and , then has magnitude:

13 / 30

13. If a vector has components and , then its magnitude is:

14 / 30

14. A car moves east and then north. Using analytical vector addition, what is the resultant displacement?

15 / 30

15. 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?

16 / 30

16. Which situation does not involve centripetal force?

17 / 30

17. An airplane flies with velocity east, while wind blows at north. Find the resultant velocity using analytical addition.

18 / 30

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

19 / 30

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

20 / 30

20. The trajectory of a projectile (ignoring air resistance) is an example of:

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21. A satellite is in circular orbit of radius r with orbital speed v. What happens if speed is suddenly doubled?

22 / 30

22. A vector making an angle with the positive x-axis is represented as:

23 / 30

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

24 / 30

24. Which of the following best describes rectilinear motion?

25 / 30

25. A vector of magnitude 10 units makes an angle of with the x-axis. What is its x-component?

26 / 30

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

27 / 30

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

28 / 30

28. The correct example of a vector quantity is:

29 / 30

29. If and , then the magnitude of their sum is:

30 / 30

30. The trajectory equation of a projectile can be compared to a parabola of the form:

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Class 11 Physics: Motion in a Plane Online Test (Paper 3)

Welcome to Paper 3! You’ve warmed up—now it's time to step up your game and conquer the challenge with tougher questions!

Earn a certificate upon passing

Get new questions with every attempt

  • Total Questions: 50
  • Time Allotted: 75 minutes
  • Passing Score: 70%
  • Randomization: Yes
  • Certificate: Yes
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 50

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

2 / 50

2. Which is not a scalar quantity?

3 / 50

3. Which law of vector addition can be geometrically represented using a parallelogram?

4 / 50

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

5 / 50

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

6 / 50

6. 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:

7 / 50

7. An object moves along a straight line with velocity . What is the displacement in the first 4 seconds?

8 / 50

8. With position vectors , which defines relative velocity?

9 / 50

9. A particle starts with velocity m/s and moves under acceleration . What is its velocity after 2 seconds?

10 / 50

10. 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?

11 / 50

11. Why do astronauts in satellites experience weightlessness?

12 / 50

12. A displacement vector has components . What is its magnitude and direction?

13 / 50

13. Aircraft A starts at O and flies east with m/s. Aircraft B starts at position (0, 4000) m and flies with m/s relative to O. What is their minimum separation?

14 / 50

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

15 / 50

15. If and , then graphically is:

16 / 50

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

17 / 50

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

18 / 50

18. The time taken for one complete revolution in circular motion is called:

19 / 50

19. In the parallelogram method, if two vectors and are at right angles, then the magnitude of the resultant is:

20 / 50

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

21 / 50

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

22 / 50

22. A vector of magnitude 20 units makes an angle of with the positive x-axis. What is its horizontal component?

23 / 50

23. Which of the following is a vector quantity?

24 / 50

24. If and , then graphically is:

25 / 50

25. A vector of magnitude 10 units makes an angle of with the x-axis. What is its x-component?

26 / 50

26. Which relation connects linear speed v, angular velocity ω, and radius r in uniform circular motion?

27 / 50

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

28 / 50

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

29 / 50

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

30 / 50

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

31 / 50

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

32 / 50

32. A vector , another . Find resultant vector magnitude.

33 / 50

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

34 / 50

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

35 / 50

35. A stone is thrown at 20 m/s at 60°. Find the maximum height reached. (g = 10 m/s²)

36 / 50

36. An object moves with displacement vectors , , and . Find net displacement.

37 / 50

37. A body moves in a circle of radius 2 m with speed 6 m/s. Find its centripetal force if its mass is 3 kg.

38 / 50

38. A car moves 100 m east and then 100 m north. What is the resultant displacement?

39 / 50

39. Graphically, if two vectors act along the same line in the same direction, their resultant is:

40 / 50

40. A projectile has a range of 80 m when launched at 30° with velocity u. If launched at 60° with the same velocity, what will be the range?

41 / 50

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

42 / 50

42. A force of is applied at an angle of above the horizontal. What is its vertical component?

43 / 50

43. If and , what is ?

44 / 50

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

45 / 50

45. The resultant of two vectors and is:

46 / 50

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

47 / 50

47. The slope of the trajectory (dy/dx) of a projectile at time is:

48 / 50

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

49 / 50

49. 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?

50 / 50

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

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Class 11 Physics — Chapter 4: Motion in a Plane Online Test

The Motion in a Plane Online Test lets you practice Class 11 Physics Chapter 4 concepts in a smart, exam-style way. Attempt MCQ-based mock tests with real-time evaluation, check instant results, and unlock your certificate after passing Paper 3. Each paper is NCERT/CBSE-aligned, designed for JEE / NEET foundation aspirants, and available for free with unlimited retakes.

Confused between vector addition and subtraction, projectile motion, or relative velocity? This online quiz will help you master two-dimensional motion using clear, question-based learning. Each test is short, mobile-friendly, and gives step-wise feedback so you can improve accuracy, speed, and conceptual clarity. Once ready, try Paper 3 and earn your chapter completion certificate!

What’s inside this chapter test?

Three structured online papers for Chapter 4 (Motion in a Plane):

  • Paper 1 (Easy) — Fundamentals: 20 questions · 30 min · Pass 40% · Fixed set
  • Paper 2 (Medium) — Practice Mix: 30 questions · 45 min · Pass 50% · Randomized
  • Paper 3 (Advanced) — Challenge: 50 questions · 75 min · Pass 70% · Certificate on pass

Note: Papers 2 & 3 serve a fresh mix of questions on every attempt. All papers are timed, auto-checked, and include answer review for instant learning.

Key topics covered (Motion in a Plane)

  • Scalars and vectors: magnitude, direction, and representation
  • Vector addition, subtraction, and resolution using components
  • Position, velocity, and acceleration in two dimensions
  • Projectile motion: horizontal and oblique projections
  • Uniform circular motion and its relation with angular velocity
  • Relative velocity in two-dimensional motion
  • Graphical analysis of x–y motion and resultant quantities
  • Conceptual numericals on range, time of flight, and trajectory

How the online test works

Simple flow: Pick a paper → solve MCQs within time → submit → view score + review. Pass Paper 3 to get your downloadable certificate.

On-screen experience

  • MCQs: One question / four options + instant marking
  • Timer: P1 – 30 min · P2 – 45 min · P3 – 75 min
  • Navigation: Next/Previous buttons + question map
  • Result view: Total score %, time taken, answer-key review
  • Unlimited retakes: Fresh question sets for P2 & P3 each time

Marking & pass criteria

  • Marking scheme: +1 for correct, 0 for wrong (no negative marking)
  • Passing marks: P1 – 40% • P2 – 50% • P3 – 70%
  • Question randomization: P2 & P3 generate new mixes on each attempt

Who should take this test?

  • CBSE/NCERT Class 11 Physics students revising Chapter 4
  • JEE / NEET foundation learners practising 2-D motion and projectile concepts
  • Bridge students preparing for Class 12 vector dynamics
  • Teachers & tutors assigning auto-graded chapter tests
  • International boards (IGCSE, IB, AP) needing MCQ-based physics practice

Why take this Motion in a Plane test?

  • Exam-like environment: Timed tests + auto-submit + scoring system
  • Instant feedback: Identify weak areas and fix mistakes fast
  • Step-wise learning: Easy → Medium → Advanced (+ certificate)
  • Unlimited attempts: Re-attempt until confident
  • Free & secure: No login, no payment, no ads

Smart study plan for Chapter 4

  • Step 1 — Concept clarity: Attempt Paper 1 after reading the chapter; target ≥ 40%.
  • Step 2 — Practice variety: Attempt Paper 2 (randomized mix) and analyze errors.
  • Step 3 — Final test: Attempt Paper 3 under real exam timing; aim ≥ 70%.
  • Step 4 — Revise & retain: Re-attempt after 1–2 days to strengthen memory.
  • Step 5 — Offline support: Use the study bundle PDF for quick chapter revisions.

Before you start

  • Don’t refresh or close the tab while taking the test.
  • Use latest Chrome/Edge and a stable internet connection.
  • Free access only: Ignore any payment or login prompts.

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