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 System of Particles and Rotational Motion. In this article, we will provide 50+ MCQ questions on the System of Particles and Rotational Motion, along with detailed solutions to help you prepare for the JEE Mains exam.
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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 System of Particles and Rotational Motion JEE Mains MCQ Questions with Answers.
System of Particles and Rotational Motion JEE Mains MCQ
Two particles of masses m1 and m2 are connected by a light string passing over a pulley. If the system is in equilibrium, what is the ratio of their masses?
a) m1:m2
b) m2:m1
c) 1:1
d) m1^2:m2^2
A particle is projected at an angle of 60 degrees with the horizontal direction. What is the ratio of its horizontal range to the maximum height attained?
a) √3:1
b) 1:√3
c) 1:2
d) 2:1
Two particles of masses m1 and m2 are connected by a light string. If a force F is applied to the mass m1, what is the tension in the string?
a) F
b) F/(m1+m2)
c) F(m1+m2)
d) F(m1-m2)
A particle of mass m is moving in a circle of radius R with a constant angular velocity. What is its kinetic energy?
a) (1/2)mR^2
b) (1/2)m^2R^2
c) (1/2)mv^2
d) (1/2)Iω^2 (where I is the moment of inertia)
Two particles of masses m1 and m2 are moving in the same direction with velocities v1 and v2, respectively. If they collide inelastically, what will be their final velocity?
a) (m1v1+m2v2)/(m1+m2)
b) (m1v1-m2v2)/(m1+m2)
c) (m1+m2)/(m1v1+m2v2)
d) (m1+m2)/(m1v1-m2v2)
Two particles of masses m1 and m2 are connected by a light string. If a force F is applied to the mass m1 and the system accelerates, what is the tension in the string?
a) F
b) F/(m1+m2)
c) F(m1+m2)
d) F(m1-m2)
A particle is projected with a velocity v at an angle of 30 degrees with the horizontal direction. What is the maximum height attained by the particle?
a) (v^2sin^2(30))/2g
b) (v^2sin^2(60))/2g
c) (v^2sin(30))/2g
d) (v^2sin(60))/2g
Two particles of masses m1 and m2 are moving in the same direction with velocities v1 and v2, respectively. If they collide and stick together, what will be their final velocity?
a) (m1v1+m2v2)/(m1+m2)
b) (m1v1-m2v2)/(m1+m2)
c) (m1+m2)/(m1v1+m2v2)
d) (m1+m2)/(m1v1-m2v2)
A particle is projected at an angle of 45 degrees with the horizontal direction. What is the time of flight of the particle?
a) 2v/g
b) v/g
c) v/(2g)
d) 2v sin(45)/g
Two particles of masses m1 and m2 are moving in opposite directions with velocities v1 and v2, respectively. If they collide and stick together, what will be their final velocity?
a) (m1v1+m2v2)/(m1+m2)
b) (m1v1-m2v2)/(m1+m2)
c) (m1+m2)/(m1v1+m2v2)
d) (m1+m2)/(m1v1-m2v2)
A particle is moving in a circle of radius R with a constant angular velocity. What is the magnitude of its acceleration?
a) R^2ω
b) Rω^2
c) Rω
d) R/ω
Two particles of masses m1 and m2 are moving in opposite directions with velocities v1 and v2, respectively. If they collide elastically, what will be their velocities after collision?
a) v1: v2
b) v2: v1
c) v1: -v2
d) -v1: v2
Two particles of masses m1 and m2 are moving in opposite directions with velocities v1 and v2, respectively. If they collide elastically and exchange their velocities, what will be their velocities after collision?
a) -v1: -v2
b) -v2: -v1
c) v1: v2
d) v2: v1
Two particles of masses m1 and m2 are connected by a light string passing over a smooth pulley. If m1 is moving downward with acceleration a, what is the acceleration of m2?
a) a
b) 2a
c) a/2
d) g-a
Which of the following quantities remains conserved in a system of particles if no external torque acts on it?
a) Linear momentum
b) Angular momentum
c) Kinetic energy
d) Potential energy
Two particles, each of mass m, are connected by a light rod of length L. The system rotates about an axis passing through the center of the rod perpendicular to its length. What is the moment of inertia of the system?
a) (1/4)mL²
b) (1/2)mL²
c) mL²
d) 2mL²
A thin circular ring and a thin circular disc of the same mass and radius are rotating with the same angular velocity. What is the ratio of their moments of inertia about their respective axes of rotation?
a) 1:1
b) 1:2
c) 2:1
d) 4:1
A particle of mass m is moving in a circle of radius R with a constant speed v. What is the angular momentum of the particle about the center of the circle?
a) mvr
b) mvr²
c) mv²/R
d) mRv²
A particle is moving in a circle of radius R with uniform angular velocity. What is the ratio of its centripetal acceleration to the linear acceleration of a particle moving in a straight line with the same magnitude of velocity?
a) 1:1
b) R:1
c) 1:R
d) R²:1
A particle of mass m is moving in a circle of radius R with a constant angular velocity. What is its kinetic energy?
a) (1/2)mv²
b) (1/2)mω²R²
c) (1/2)mR²ω²
d) (1/2)mR²ω
Two particles, each of mass m, are moving in opposite directions with velocities v and 2v, respectively. What is the ratio of their kinetic energies?
a) 1:1
b) 1:2
c) 1:4
d) 1:8
Two particles of masses m1 and m2 are connected by a light string passing over a smooth pulley. If m1 is moving upward with acceleration a, what is the acceleration of m2?
a) a
b) 2a
c) a/2
d) g-a
Two particles of masses m1 and m2 are connected by a light rod of length L. The system rotates about an axis passing through the center of the rod perpendicular to its length. If the system is in rotational equilibrium, what is the ratio of their distances from the axis of rotation?
a) m1L:m2L
b) L:m2L
c) L:m1L
d) m2L:m1L
Two particles, each of mass m, are moving with velocities v and -v, respectively. What is the ratio of their angular momenta about the same point?
a) -1:1
b) -1:2
c) 1:1
d) 1:2
A body is rolling without slipping on a horizontal surface. What is the ratio of its translational kinetic energy to its rotational kinetic energy?
a) 1:1
b) 2:1
c) 3:1
d) 5:2
A uniform rod of length L is pivoted at one end. If it is held horizontally and released, what will be the angular acceleration of the rod just after release?
a) 3g/2L
b) 2g/3L
c) 2g/L
d) 3g/L
Two particles of masses m1 and m2 are moving in a circle of radius R with the same angular velocity. What is the ratio of their centripetal forces?
a) m1:m2
b) m2:m1
c) 1:1
d) m1²:m2²
A solid sphere and a hollow sphere of the same mass and radius are rotating with the same angular velocity. What is the ratio of their moments of inertia about their respective axes of rotation?
a) 2:3
b) 3:2
c) 1:2
d) 2:1
A particle is projected at an angle of 45 degrees with the horizontal direction. What is the ratio of its horizontal range to the maximum height attained?
a) 1:1
b) 2:1
c) √2:1
d) 1:√2
A particle is moving in a circle of radius R with uniform angular velocity. What is the magnitude of its acceleration?
a) Rω²
b) R²ω²
c) R/ω²
d) R/ω
A particle of mass m is moving in a circle of radius R with a constant speed v. What is the centripetal force acting on the particle?
a) mv
b) mv²/R
c) mRv²
d) mv²
Two particles of masses m1 and m2 are moving with velocities v1 and v2, respectively. What is the ratio of their linear momenta?
a) v1:v2
b) m1v1:m2v2
c) m1/m2
d) m2/m1
A particle is projected with a velocity v at an angle of 60 degrees with the horizontal direction. What is the maximum height attained by the particle?
a) (v²sin²(60))/g
b) (v²sin²(30))/g
c) (v²sin(60))/2g
d) (v²sin(30))/g
Two particles of masses m1 and m2 are moving in the same direction with velocities v1 and v2, respectively. If they collide elastically, what will be their velocities after collision?
a) v2: v1
b) -v2: v1
c) -v2: -v1
d) v1: v2
We hope there JEE MCQ of Class 11 System of Particles and Rotational Motion 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.
