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Questions on topic Center of Mass from Class 12 CBSE Physics

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Q1. What is the center of mass of a system of particles?
The point where the mass of the system is concentrated
The average position of all the mass in the system
The point of equilibrium for the system
The point where the gravitational force acts
Q2. For a uniform rod of length L, the center of mass is located at which position?
At one end of the rod
At the midpoint of the rod
At a distance L/4 from one end
At a distance L/2 from one end
Q3. In a two-particle system with masses m1 and m2, where m1 = 2 kg and m2 = 3 kg, the center of mass is given by which formula?
(m1 * x1 + m2 * x2) / (m1 + m2)
(m1 + m2) / (x1 + x2)
(x1 + x2) / 2
(x1 * m1 + x2 * m2) / (m1 + m2)
Q4. Which of the following statements about the center of mass is true?
The center of mass can be located outside the physical body
The center of mass is always at the geometric center
The center of mass is only applicable to rigid bodies
The center of mass cannot move if the body is in motion
Q5. The center of mass of a symmetrical object is located at:
The centroid of the object
The boundary of the object
The center of gravity
None of the above
Q6. If a system of particles is isolated, the center of mass:
Can accelerate
Remains at rest or moves with constant velocity
Always moves towards the heavier mass
Can change direction freely
Q7. How does the motion of the center of mass relate to the individual motions of the particles in the system?
It is independent of the motion of the particles
It is the average of the individual motions
It is influenced more by the lighter particles
It can only be calculated if all particles have equal mass
Q8. In which of the following cases will the center of mass shift?
When two equal masses collide elastically
When one mass is removed from a system
When the system is in a gravitational field
When the masses are evenly distributed
Q9. For an extended rigid body, the center of mass can be found by:
Taking the average of all individual masses
Using calculus to integrate over the volume of the body
Measuring the center of gravity only
Considering only the outer surface of the body
Q10. What happens to the center of mass of a system when internal forces act on it?
It accelerates
It remains unchanged
It moves towards the heavier mass
It can be influenced by external forces

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