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Questions on topic center of mass from class 11 physics

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Q1. 1. What is the center of mass of a system?
A point where the total mass of the system can be considered to be concentrated
A point where the force of gravity acts
A point where the system is in equilibrium
A point where the system has maximum kinetic energy
Q2. 2. For a two-particle system, the center of mass lies closer to which particle?
The particle with larger mass
The particle with smaller mass
Equidistant from both particles
None of the above
Q3. 3. The center of mass of a uniform rod lies at:
One-fourth of its length from either end
One-third of its length from either end
Midpoint of the rod
One-fifth of its length from either end
Q4. 4. In a system of particles, if the external force acting on the system is zero, the center of mass:
Remains stationary
Moves with a constant velocity
Accelerates
Rotates
Q5. 5. The position vector of the center of mass (R_cm) of a system of particles is given by:
R_cm = (∑m_i * r_i) / ∑m_i
R_cm = ∑m_i * r_i
R_cm = ∑r_i / ∑m_i
R_cm = (∑r_i) / ∑m_i
Q6. 6. The velocity of the center of mass of a system of particles is:
Equal to the velocity of the heaviest particle
The mass-weighted average of the velocities of all particles
The sum of the velocities of all particles
Zero if the system is isolated
Q7. 7. For a system of particles, the total linear momentum is given by:
P_total = M * V_cm
P_total = V_cm / M
P_total = M / V_cm
P_total = M * A_cm
Q8. 8. If the center of mass of a system moves in a straight line, the system:
Is in rotational motion
Is in translational motion
Is in vibrational motion
Is in equilibrium
Q9. 9. The center of mass of a system of particles can be outside the physical boundaries of the system:
True
False
Depends on the shape of the system
Depends on the mass distribution
Q10. 10. In a collision between two particles, the position of the center of mass:
Changes if the system is isolated
Remains the same if no external force acts
Always changes regardless of external forces
Cannot be determined