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Motion in a Plane MCQs: Motion in a plane refers to the movement of an object in two dimensions, usually described using the concepts of vectors, velocity, and acceleration. Understanding this topic is crucial as it forms the foundation for analyzing more complex movements in physics. Key concepts include displacement, velocity, and the importance of breaking down motion into horizontal and vertical components. Mastering these fundamentals allows students to solve problems related to projectile motion and circular motion with ease.
CBSE Class 11 Chapter 4 Motion in a Plane MCQs
“Motion in a Plane” is a crucial chapter in Class 11 Physics, especially for students preparing for the NEET exam. Practicing NEET MCQs from this chapter helps in building a solid foundation for more advanced topics in physics. The “Motion in a Plane Class 11 MCQ PDF” is tailored to align with the NEET Physics syllabus, providing targeted practice. Regularly solving these MCQs not only reinforces the fundamental principles of the chapter but also enhances problem-solving skills. For comprehensive preparation, students can also explore resources like the “Motion in a Straight Line Class 11 MCQ PDF download,” which offers additional practice material. Accessing “Motion in a Plane questions and Answers PDF” further supports students in mastering this chapter and boosts their confidence for the NEET exam.
Also Check – NCERT Solutions for Class 11 Physics Chapter 4
Motion in a Plane NEET Questions Class 11
Before tackling the “Motion in a Plane NEET Questions Class 11,” it’s important for students to first learn and understand all the concepts in the chapter. Grasping the basics like vector addition, projectile motion, and relative velocity is essential because these concepts form the foundation for solving the MCQs effectively. Once students are confident with the theory, they can then move on to solving the chapter-wise MCQs. This approach helps in applying the knowledge they’ve gained, improving their problem-solving skills, and better preparing them for the NEET exam.
Also Check – Motion in a plane class 11 notes Chapter 4
Motion in a Plane MCQs with Answers
Q1. Which of the following best describes motion in a plane?
A) One-dimensional motion
B) Two-dimensional motion
C) Three-dimensional motion
D) Circular motion
Answer: B) Two-dimensional motion
Q2. An object moves in a circle with a radius of 5 m. What is the distance covered by the object after one complete revolution?
A) 10 m
B) 15.7 m
C) 31.4 m
D) 25 m
Answer: C) 31.4 m
(Circumference = 2πr = 2 × 3.14 × 5 = 31.4 m)
Q3. What is the resultant displacement of a particle that moves 3 m east and then 4 m north?
A) 5 m
B) 7 m
C) 12 m
D) 10 m
Answer: A) 5 m
(Using Pythagoras theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 m)
Q4. If a projectile is launched at an angle of 30° with the horizontal, what is the vertical component of its initial velocity if the initial speed is 20 m/s?
A) 10 m/s
B) 17.32 m/s
C) 15 m/s
D) 20 m/s
Answer: B) 17.32 m/s
(Vertical component = 20 sin(30°) = 20 × 0.5 = 10 m/s)
Also Check – NEET Biology MCQs
Q5. An object is thrown upward with an initial speed of 20 m/s. How high will it rise? (g = 9.8 m/s²)
A) 20.4 m
B) 10.2 m
C) 40.8 m
D) 15.4 m
Answer: A) 20.4 m
(Using the formula h = u²/2g = 20²/(2 × 9.8) = 400/19.6 = 20.4 m)
Q6. A car travels 100 m north and then turns east to travel another 100 m. What is the total displacement of the car?
A) 100 m
B) 141.4 m
C) 200 m
D) 300 m
Answer: B) 141.4 m
(Using Pythagoras theorem: √(100² + 100²) = √(10000 + 10000) = √20000 = 141.4 m)
Q7. If a body moves in a straight line with a uniform acceleration of 2 m/s², what will be its velocity after 5 seconds if its initial velocity is 10 m/s?
A) 20 m/s
B) 25 m/s
C) 30 m/s
D) 15 m/s
Answer: A) 20 m/s
(Using the formula v = u + at = 10 + (2 × 5) = 10 + 10 = 20 m/s)
Q8. In projectile motion, the horizontal component of the velocity:
A) Changes continuously
B) Remains constant
C) Is equal to the vertical component
D) Is affected by gravity
Answer: B) Remains constant
Q9. A projectile is launched at an angle of 45° with an initial speed of 40 m/s. What is the range of the projectile? (g = 10 m/s²)
A) 160 m
B) 80 m
C) 100 m
D) 200 m
Answer: A) 160 m
(Range = (u² sin(2θ))/g = (40² × sin(90°))/10 = 1600/10 = 160 m)
Q10. The time of flight of a projectile is directly proportional to:
A) Initial velocity
B) Square of the initial velocity
C) Sine of the launch angle
D) Square of the sine of the launch angle
Answer: B) Square of the initial velocity
Q11. Which of the following equations represents the motion of an object in a plane?
A) s = ut + 1/2 at²
B) v = u + at
C) s = vt – 1/2 at²
D) All of the above
Answer: D) All of the above
Q12. In a coordinate system, a point has coordinates (3, 4). What is its distance from the origin?
A) 5 units
B) 7 units
C) 10 units
D) 2 units
Answer: A) 5 units
(Distance = √(3² + 4²) = √(9 + 16) = √25 = 5 units)
Q13. An object moving in a circular path at constant speed has:
A) Zero acceleration
B) Uniform acceleration
C) Centripetal acceleration
D) Constant velocity
Answer: C) Centripetal acceleration
Q14. A ball is thrown horizontally from a height of 20 m. How far will it travel horizontally before hitting the ground? (g = 10 m/s²)
A) 20 m
B) 40 m
C) 30 m
D) 10 m
Answer: B) 40 m
(Time to fall = √(2h/g) = √(2×20/10) = √4 = 2 s; Distance = velocity × time; assuming velocity = 20 m/s, Distance = 20 × 2 = 40 m)
Q15. The maximum height reached by a projectile is influenced by:
A) Initial speed and launch angle
B) Only the launch angle
C) Only the initial speed
D) The weight of the projectile
Answer: A) Initial speed and launch angle
Q16. What is the vertical velocity of a projectile at its highest point?
A) Maximum
B) Zero
C) Minimum
D) Constant
Answer: B) Zero
Q17. An object is thrown upward with an initial speed of 30 m/s. How long will it take to reach its highest point? (g = 9.8 m/s²)
A) 1.5 s
B) 3.1 s
C) 6.1 s
D) 10 s
Answer: B) 3.1 s
(Time to reach highest point = u/g = 30/9.8 ≈ 3.1 s)
Q18. A body moves in a straight line under uniform acceleration. If its initial velocity is 5 m/s and it travels 100 m in 10 seconds, what is its acceleration?
A) 0.5 m/s²
B) 1 m/s²
C) 2 m/s²
D) 1.5 m/s²
Answer: B) 1 m/s²
(Using s = ut + 1/2 at²: 100 = 5(10) + 1/2 a(10²); 100 = 50 + 50a; 50a = 50; a = 1 m/s²)
Q19. What is the angle of projection that gives the maximum horizontal range for a projectile?
A) 30°
B) 45°
C) 60°
D) 90°
Answer: B) 45°
Q20. Which of the following factors does NOT affect the range of a projectile?
A) Initial speed
B) Launch angle
C) Height of launch
D) Color of the projectile
Answer: D) Color of the projectile
Motion in a Plane MCQs Moderate Level
1. What is the resultant of two vectors A and B if both are equal in magnitude and perpendicular to each other?
a) A + B
b) √2A
c) A – B
d) 2A
Answer: b) √2A
2. If a projectile is launched with an initial velocity of 20 m/s at an angle of 45° to the horizontal, what is the time of flight?
a) 1.41 s
b) 2.83 s
c) 4.08 s
d) 3.65 s
Answer: b) 2.83 s
3. A car is moving with a velocity of 30 m/s east, and then it changes its direction to 30 m/s north. What is the change in velocity?
a) 0 m/s
b) 30 m/s
c) 42.4 m/s
d) 60 m/s
Answer: c) 42.4 m/s
4. In uniform circular motion, the direction of the acceleration vector is:
a) Tangential to the path
b) Along the radius, towards the center
c) Along the radius, away from the center
d) Perpendicular to the velocity vector
Answer: b) Along the radius, towards the center
5. A body is projected with a velocity of 50 m/s at an angle of 30° to the horizontal. What is the maximum height reached?
a) 31.25 m
b) 25 m
c) 50 m
d) 62.5 m
Answer: a) 31.25 m
6. A ball is thrown horizontally from a height of 20 m with a speed of 5 m/s. Before it hits the ground, how far will it go in a horizontal direction?
a) 5 m
b) 10 m
c) 15 m
d) 20 m
Answer: b) 10 m
7. The angle between two vectors of equal magnitude when their resultant is equal in magnitude to either of the vectors is:
a) 0°
b) 60°
c) 90°
d) 120°
Answer: b) 60°
8. What is the horizontal range of a projectile launched at an angle of 45° with a speed of 20 m/s?
a) 40 m
b) 20 m
c) 60 m
d) 80 m
Answer: a) 40 m
9. Two vectors A and B are such that |A| = 5 units, |B| = 3 units, and the angle between them is 60°. What is the resultant vector?
a) 2 units
b) 4 units
c) 6.5 units
d) 7 units
Answer: d) 7 units
10. A projectile is thrown with a velocity of 20 m/s at an angle of 30° with the horizontal. What is the horizontal component of its velocity?
a) 10 m/s
b) 17.32 m/s
c) 20 m/s
d) 34.64 m/s
Answer: b) 17.32 m/s
11. What is the velocity vector of an object moving in uniform circular motion?
a) Along the radius, towards the center
b) Along the radius, away from the center
c) Perpendicular to the radius
d) Along the tangent to the circle
Answer: d) Along the tangent to the circle
12. The time period of a particle in uniform circular motion is doubled. How does the centripetal acceleration change?
a) It becomes half
b) It becomes one-fourth
c) It doubles
d) It remains the same
Answer: b) It becomes one-fourth
13. A stone is thrown horizontally with a speed of 15 m/s from a height of 45 m. How long will it take to hit the ground?
a) 2 s
b) 3 s
c) 4 s
d) 5 s
Answer: b) 3 s
14. What is the direction of the resultant of two vectors 5 units and 12 units acting at an angle of 90° to each other?
a) 23.57° to the 5-unit vector
b) 66.43° to the 12-unit vector
c) 90° to both vectors
d) 0° to both vectors
Answer: a) 23.57° to the 5-unit vector
15. A body is projected with a speed of 30 m/s at an angle of 60° to the horizontal. What is its range?
a) 78.4 m
b) 68.4 m
c) 60.4 m
d) 45 m
Answer: a) 78.4 m
16. If a particle moves along a circular path of radius 5 m with a uniform speed of 10 m/s, what is its angular velocity?
a) 0.5 rad/s
b) 1 rad/s
c) 2 rad/s
d) 4 rad/s
Answer: b) 2 rad/s
17. The magnitude of the displacement of a particle moving along a circular path of radius r after completing half a revolution is:
a) r
b) 2r
c) πr
d) 0
Answer: b) 2r
18. A car moving with a speed of 40 m/s takes a turn on a circular track of radius 100 m. What is the centripetal acceleration?
a) 4 m/s²
b) 8 m/s²
c) 16 m/s²
d) 32 m/s²
Answer: c) 16 m/s²
19. A projectile is launched at a speed of 50 m/s at an angle of 37° above the horizontal. What is the highest point the projectile will reach during its flight?
a) 45.9 m
b) 34.4 m
c) 22.5 m
d) 15.3 m
Answer: c) 22.5 m
20. If two vectors A and B are such that |A + B| = |A – B|, what is the angle between them?
a) 0°
b) 45°
c) 90°
d) 180°
Answer: c) 90°
Tips for Attempting Motion in a Plane Class 11 MCQs
When approaching the “Motion in a Plane Class 11 MCQs,” it’s important to follow a strategic method.
- Start by thoroughly reviewing all the concepts covered in the chapter, such as vector addition, projectile motion, and relative velocity.
- Understanding these basics is crucial before attempting any questions. When solving the MCQs, carefully read each question to ensure you understand what is being asked.
- If the question involves calculations, make sure to perform each step methodically, keeping an eye out for common pitfalls like incorrect sign usage or misinterpreting angles.
- Additionally, practice solving a variety of MCQs, including numerical problems and theory-based questions, to build confidence and improve your accuracy.
- By following these steps, you can effectively tackle the “Motion in a Plane” MCQs and boost your performance in exams like NEET.
