Home
Class 11
PHYSICS
A large number of particles are placed a...

A large number of particles are placed around the origin, each at a distance R from the origin. The distance of the center of mass of the system from the origin is

A

`r=d`

B

`r le d`

C

`r ge d`

D

`r=0`

Text Solution

Verified by Experts

The correct Answer is:
B
We can visualise a hypothetical circle of radius d on the X-Y plane. All the particles must lie on this circle. Now assume a situation when all the particles are kept at the same point on the circumference of the circle then centre of mass of the system will also lie at the same location hence in this case r=d. But when we distribute particles to different point on the circumference of the circle then centre of mass lies inside the circle hence in these cases `rltd`. We can also distribute particles on this circle in such a way that centre of mass lies at the origin. Option (b) is correct.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( OBJECTIVE TYPE QUESTIONS (JEE (Main) & Other State Boards for Engineering Entrance) )|48 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( OBJECTIVE TYPE QUESTIONS MULTIPLE CHOICE QUESTIONS (with more than one correct answer) )|35 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise REVISION EXERCISES (Numerical Problems)|20 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

Similar Questions

Explore conceptually related problems

All the particles of body are situated at a distance R from the origin. The distance of the centre of mass of the body from the origin is also R. Is this statement true or false?

For a group of particles of different masses,if all the masses are placed at different points at equal distance R from the origin, then the distance of the centre of mass from the origin will be

Knowledge Check

  • All the particles of a body are situated at a distance R from the origin. The distance of the centre of mass of the body from the origin is

    A
    `=R`
    B
    `leR`
    C
    `gtR`
    D
    `geR`

  • All the particles of a body situated at distance d from the origin. The distance of the center of mass of the body from the origin is

    A
    `= d`
    B
    `le d`
    C
    `gt d`
    D
    `ge d`

  • The distance of the B(6,6) from the origin is:

    A
    ` sqrt(53)` units
    B
    ` sqrt(41) ` units
    C
    ` sqrt( 72)` units
    D
    `sqrt(145)` units

    • Similar Questions

    Explore conceptually related problems

    All the particles are situated at a distance R from the origin. The distance of centre of mass of the body from the origin will be (1) More than R (2) Less than R (3) Equal to R (4) At the origin

    The distance from the origin to the point (8,15)

    The distance of the point (0,-2) from the origin is

    The distance of the point P(2,4) from the origin is :

    The distance of the point p(3,4) from the origin is

    Home
    Profile