Home
Class 11
PHYSICS
Satement-1: if there is no external torq...

Satement-1: if there is no external torque on a body about its centre of mass, then the velocity of the center of mass remains constant.
Statement-2: The linear momentum of an isolated system remains constant.

A

Statement-1 is true, Statement-2 is false

B

Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of Statement-2

C

Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-2

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V A|20 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Acceleration of centre of mass remains constant in law of conservation of momentum.

Statement -1 : When a girl jumps from a boat, the boat slightly moves away from the shore. and Statement-2 : The total linear momentum of an isolated system remain conserved.

"If the resultant internal force on system is zero, then its linear momentum remains constant". This is statement of law of conservation of linear momentum.

If the resultant external force on a system is zero, then the total…………of system remains constant.

If the total external forces on the system of particle is zero, then find the velocity and acceleration of its centre of mass.

Separation of Motion of a system of particles into motion of the centre of mass and motion about the centre of mass : (a) Show p=p_(i).+m_(i)V where p_(i) is the momentum of the ith particle (of mass m_(i) ) and p_(i).=m_(i)v_(i). . Note v_(i). is the velocity of the i^(th) particle relative to the centre of mass Also, prove using the definition of the centre of mass Sigmap_(i).=0 (b) Show K=K.+(1)/(2)MV^(2) where K is the total kinetic energy of the system of particles, K. is the total kinetic energy of the system when the particle velocities are taken with respect to the centre of mass and (1)/(2)MV^(2) is the kinetic energy of the translation of the system as a whole (i.e. of the centre of mass motion of the system). The result has been used in Sec. 7.14). (c ) Show vecL=vecL.+vecRxxvec(MV) where vecL.=Sigmavec(r_(i)).xxvec(p_(i)). is the angular momentum of the system about the centre of mass with velocities taken relative to the centre of mass. Remember vec(r._(i))=vec(r_(i))-vecR , rest of the notation is the velcities taken relative to the centre of mass. Remember vec(r._(i))=vec(r_(i))-vecR rest of the notation is the standard notation used in the chapter. Note vecL , and vec(MR)xxvecV can be said to be angular momenta, respectively, about and of the centre of mass of the system of particles. (d) Show vec(dL.)/(dt)=sumvec(r_(i).)xxvec(dp.)/(dt) Further, show that vec(dL.)/(dt)=tau._(ext) where tau._(ext) is the sum of all external torques acting on the system about the centre of mass. (Hint : Use the definition of centre of mass and Newton.s Thrid Law. Assume the internal forces between any two particles act along the line joining the particles.)

Is the linear velocity of a particle moving with constant angular speed about non fixed axis remains constant? Why?

Can a system be heated and its temperature remains constant ?

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.

ALLEN -CENTRE OF MASS-EXERCISE-V B
  1. Two particles of masses m(1) and m(2) in projectile motion have veloci...

    Text Solution

    |

  2. Two blocks of masses 10 kg and 4 kg are connected by a spring of negli...

    Text Solution

    |

  3. If components of the momentum of a body along x and y-axis are p(x)=2 ...

    Text Solution

    |

  4. Two small particles of equal masses stant moving in opposite directio...

    Text Solution

    |

  5. Look at the drawing given in the figure which has been drawn with ink ...

    Text Solution

    |

  6. A particle of mass m is projected from the ground with an initial spee...

    Text Solution

    |

  7. A tennis ball dropped on a barizoontal smooth surface , it because bac...

    Text Solution

    |

  8. Two balls , having linear momenta vec(p)(1) = p hat(i) and vec(p)(2) =...

    Text Solution

    |

  9. STATEMENT-l : In an elastic collision between two bodies, the relative...

    Text Solution

    |

  10. Satement-1: if there is no external torque on a body about its centre ...

    Text Solution

    |

  11. A small block of mass M move on a frictionless surface of an inclimed...

    Text Solution

    |

  12. A small block of mass M move on a frictionless surface of an inclimed...

    Text Solution

    |

  13. A small block of mass M move on a frictionless surface of an inclimed...

    Text Solution

    |

  14. Two blocks of masses 2kg and M are at rest on an inclined plane and ar...

    Text Solution

    |

  15. A car P is moving with a uniform speed 5sqrt3 m//s towards a carriage ...

    Text Solution

    |

  16. A particle of mass m, moving in a cicular path of radius R with a cons...

    Text Solution

    |

  17. Two point masses m1 and m2 are connected by a spring of natural length...

    Text Solution

    |

  18. A rectangular plate of mass M and dimension axxb is held in horizonta...

    Text Solution

    |

  19. Three objects A , B and C are kept in a straight line on a smooth hori...

    Text Solution

    |