Home
Class 11
PHYSICS
Statement I: In a two-body collision, th...

Statement I: In a two-body collision, the momenta of the particles are equal and opposite to one another, before as well as after the collision when measured in the centre of mass frame.
Statement. II: The momentum of the system is zero from the centre of mass frame.

A

Both assertion and reason are true and reason is the correct explanation of assertion.

B

Both assertion and reason are true but reason is not the correct explanation of assertion.

C

Assertion is true and reason is false.

D

Assertion is false and reason is true.

Text Solution

Verified by Experts

The correct Answer is:
A

The momentum of a system of particles from any frame is given by `vecP=mvecv_(CM)`
From the centre of mass frame,
`vecv_(CM)=vecO`
`implies vecP=0`
So individual bodies should have momenta is opposite directions to make net momentum zero.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Linked Comprehension|105 Videos
  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Integer|16 Videos
  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Multiple Correct|25 Videos
  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

Similar Questions

Explore conceptually related problems

Suppose the particle of the previous problem has a mass m and a speed v before the collision and it sticks to the rod after the collision. The rod has a mass M. a. Find the velocity of the particle with respect to C of the system consituting the rod plus the particle. b. Find the velociyt of the particle with respect to C before the collision. c. Find the velocity of the rod with respect to C before the colision. e. find the moment of inertia of the system about the vertical axis through the centre of mass C after the collision. f. Find the velociyt of the centre of mass C and the angular velocity of the system about the centre of mass after the collision.

Linear Momentum Of Two System Of Particle Relative To Centre Of Mass Frame

Knowledge Check

  • Statement-1: The kinetic energy of a system of particles is minimum from centre of mass frame of reference. Statement-2 : The total momentum of a system as seen from centre of mass frame is minimum.

    A
    Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
    B
    Statement -1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
    C
    Statement-1 is true, statement-2 is false.
    D
    Statement-1 is false, statement-2 is true.
  • Statement I: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Statement II: In an elastic collision, the linear momentum of the system is conserved.

    A
    Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I
    B
    Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I.
    C
    Statement I is true and Statement II is false.
    D
    Statement I is false and Statement II is true.
  • Two particles of masses m and 3m approach each other with different velocities. After collision, the particle of mass m has velocity vec( v) in their centre of mass frame. Velocity of particle of mass 3m in the centre of mass frame is

    A
    `- 2 vec( v ) `
    B
    ` - ( vec(v))/(2)`
    C
    `-( vec( v ))/(3)`
    D
    `( vec( v ))/(4)`
  • Similar Questions

    Explore conceptually related problems

    A uniform rod of length lambda lies on a smooth horizontal table A particle moving on the table has a mass m and a speed v before the collision and it sticks to the rod after the collision. The rod has a mass M then find out. The velocity of the centre of mass C and the angular velocity of the system about the centre of mass after the collision.

    Statement-1 : Total linear momentum of system in centre of mass frame is zero only when there is no net external force. Statement-2 : Total linear momentum of system is conserved in absence of net external force.

    Consider the following two statements: A. Kinear momentum of the system remains constant. B. Centre of mass of the system remains at rest

    Statement I. A particle strikes head-on with another stationary particle such that the first particle comes to rest after collision. The collision should necessarily be elastic. Statement II: In elastic collision, there is no loss of momentum of the system of the particles.

    A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass C and the angular, velocity of the system about the centre of mass after the collision.