Preparing for the Joint Entrance Exam (JEE) can be a daunting task. With so many subjects to cover and so many topics to study, it can be challenging to know where to start. One essential topic in the JEE Mains syllabus is the Motion in a Plane. In this article, we will provide 50+ MCQ questions on the Motion in a Plane, along with detailed solutions to help you prepare for the JEE Mains exam.
These 50+ MCQ questions are selected by the experts of studyrate.in and these are more difficult questions, which will help you to better understand Motion in a Plane JEE Mains MCQ Questions with Answers.
Motion in a Plane JEE Mains MCQ
A particle is moving along a curved path. Its acceleration vector:
(a) Is always directed towards the center of curvature.
(b) Is always directed along the tangent to the path.
(c) Is always perpendicular to the velocity vector.
(d) Can be directed in any direction.
A projectile is launched at an angle of 60° with respect to the horizontal direction. The time taken by the projectile to reach the maximum height is:
(a) Equal to the time taken to reach the ground.
(b) Less than the time taken to reach the ground.
(c) Greater than the time taken to reach the ground.
(d) Cannot be determined without additional information.
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is twice the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
A car is moving along a circular track with constant speed. The net force acting on the car is:
(a) Zero.
(b) Directed towards the center of the circle.
(c) Directed away from the center of the circle.
(d) Directed tangentially to the circle.
The horizontal and vertical components of velocity for a projectile at any point in its trajectory are equal. The angle of projection is:
(a) 30°
(b) 45°
(c) 60°
(d) 75°
A particle is projected at an angle of 30° with the horizontal direction. The time taken by the particle to reach the highest point of its trajectory is:
(a) T/4
(b) T/2
(c) T
(d) 2T
The range of a projectile on an inclined plane is maximum when the angle of projection is:
(a) 30°
(b) 45°
(c) 60°
(d) 75°
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is three times the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
The horizontal and vertical components of velocity for a projectile at the highest point of its trajectory are:
(a) Equal.
(b) In the ratio of 1:2.
(c) In the ratio of 1:√2.
(d) In the ratio of √2:1.
A particle is projected at an angle of 60° with the horizontal direction. The ratio of the time taken to reach the highest point to the time taken to reach the same vertical distance downward is:
(a) 1:1
(b) 1:√3
(c) √3:1
(d) 2:1
A projectile is launched with a velocity of 20 m/s at an angle of 30° with the horizontal direction. The time taken by the projectile to reach the maximum height is:
(a) 1 s
(b) 2 s
(c) √3 s
(d) 4 s
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is four times the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
A particle is projected at an angle of 45° with the horizontal direction. The range of the projectile is R. What is the maximum height reached by the projectile?
(a) R/2
(b) R/√2
(c) R
(d) 2R
The horizontal and vertical components of velocity for a projectile at the highest point of its trajectory are in the ratio of:
(a) 1:1
(b) 1:2
(c) 1:√2
(d) √2:1
A particle is projected with a velocity of 10 m/s at an angle of 60° with the horizontal direction. The time taken by the particle to reach the highest point is:
(a) 1 s
(b) 2 s
(c) √3 s
(d) 4 s
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is five times the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
The range of a projectile on an inclined plane is maximum when the angle of projection is:
(a) 15°
(b) 30°
(c) 45°
(d) 60°
A particle is projected at an angle of 45° with the horizontal direction. The time taken by the particle to reach the highest point is:
(a) T/2
(b) T/√2
(c) T
(d) 2T
A projectile is launched at an angle of 45° with respect to the horizontal direction. The ratio of the time taken to reach the maximum height to the time taken to reach the same vertical distance downward is:
(a) 1:1
(b) 1:√2
(c) √2:1
(d) 2:1
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is six times the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
A particle is projected with a velocity of 15 m/s at an angle of 30° with the horizontal direction. The time taken by the particle to reach the highest point is:
(a) 1 s
(b) 2 s
(c) √3 s
(d) 4 s
A projectile is launched with a velocity of 30 m/s at an angle of 60° with the horizontal direction. The time taken by the projectile to reach the maximum height is:
(a) 1 s
(b) 2 s
(c) √3 s
(d) 4 s
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is seven times the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
A projectile is launched at an angle of 30° with respect to the horizontal direction. The ratio of the time taken to reach the maximum height to the time taken to reach the same vertical distance downward is:
(a) 1:1
(b) 1:√3
(c) √3:1
(d) 2:1
A particle is projected at an angle of 45° with the horizontal direction. The range of the projectile is R. What is the maximum height reached by the projectile?
(a) R/2
(b) R/√2
(c) R
(d) 2R
The horizontal and vertical components of velocity for a projectile at the highest point of its trajectory are in the ratio of:
(a) 1:1
(b) 1:2
(c) 1:√2
(d) √2:1
A particle is projected with a velocity of 20 m/s at an angle of 60° with the horizontal direction. The time taken by the particle to reach the highest point is:
(a) 1 s
(b) 2 s
(c) √3 s
(d) 4 s
Two vectors A and B are inclined at an angle θ. If the magnitude of vector A is eight times the magnitude of vector B, the angle between the resultant vector and vector A is:
(a) θ
(b) 2θ
(c) 3θ
(d) 4θ
A projectile is launched at an angle of 45° with respect to the horizontal direction. The time taken by the projectile to reach the maximum height is:
(a) T/4
(b) T/2
(c) T
(d) 2T
A particle is projected at an angle of 30° with the horizontal direction. The range of the projectile is R. What is the maximum height reached by the projectile?
(a) R/2
(b) R/√3
(c) R
(d) 2R
We hope there JEE MCQ of Class 11 Motion in a Plane will help you to score an excellent rank in JEE Mains and Advanced. If you have any queries feel free to write in the comments section. We at Study Rate are always ready to serve our students.
