Home
Class 11
PHYSICS
Statement-1: The centre of mass of body ...

Statement-1: The centre of mass of body may lie where there is no mass.
Statement-2: Centre of mass of a body is a point, where the whole mass of the body is supposed to be concentrated.

A

Both statement-1 and 2 are true and statement-2 is the correct explanation of statement -1.

B

Both statement-1 and 2 are true but satatement-2 is not correct explanation of statement -1.

C

Statement-1 is true but statement-2 is false

D

Both statement 1 and 2 are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given problem, we need to analyze both statements about the center of mass and determine their validity and relationship. ### Step-by-Step Solution: 1. **Understanding Statement 1**: - Statement 1 claims that the center of mass of a body may lie where there is no mass. - This can be illustrated with an example of a hollow ring. The mass of the ring is distributed along its circumference, but the center of the ring (the center of mass) is at the center point, which has no mass. - Therefore, Statement 1 is **correct**. 2. **Understanding Statement 2**: - Statement 2 states that the center of mass of a body is a point where the whole mass of the body is supposed to be concentrated. - This is a fundamental definition of the center of mass. For example, in a uniform solid block, we can consider the entire mass to be concentrated at its geometric center for analysis. - Thus, Statement 2 is also **correct**. 3. **Analyzing the Relationship Between the Statements**: - While both statements are correct, Statement 1 does not require an explanation from Statement 2. Statement 1 stands independently as it discusses the possibility of the center of mass being at a point without mass, while Statement 2 defines the center of mass conceptually. - Therefore, Statement 2 is not the correct explanation of Statement 1. 4. **Conclusion**: - Both statements are correct, but Statement 2 does not explain Statement 1. Hence, the answer is that Statement 1 is correct, Statement 2 is correct, but Statement 2 is not the correct explanation for Statement 1. ### Final Answer: - Statement 1 is correct. - Statement 2 is correct. - Statement 2 is not the correct explanation of Statement 1.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The centre of mass of a body

The centre of mass of a body

The centre of mass of a body lies

Statement-1 : The centre of mass of a body may lie where there is no mass. Statement-2 : The centre of mass has nothing to do with the mass.

Can centre of mass of a body lie where there is absolutely no mass ?

The point at which total mass of a body is suppose to be concentrated is known as

The centre of mass of rigid body cannot lie

Can the centre of mass of a body be at a point outside the body?

RESONANCE-CENTRE OF MASS-Exercise
  1. If momentum of two objects are of same magnitude. Then speed of lighte...

    Text Solution

    |

  2. A body has its centre of maas at the origin. The x-coordinates of the ...

    Text Solution

    |

  3. In which of the following cases the centre of mass of a system is cert...

    Text Solution

    |

  4. If the external forces acting on a system have zero resultant, the cen...

    Text Solution

    |

  5. In an elastic collision in absence of external force, which of the fol...

    Text Solution

    |

  6. Find the position of centre of mass of the section shown in figure

    Text Solution

    |

  7. A man of mass M hanging with a light rope which is connected with a ba...

    Text Solution

    |

  8. Three particles of masses 20g, 30g and 40g are initially moving along ...

    Text Solution

    |

  9. Velocity of a particle of mass 2kg varies with time t according to the...

    Text Solution

    |

  10. A bullet of mass a and velocity b is fired into a large block of mass ...

    Text Solution

    |

  11. A force - time graph for a linear motion is shown in the figure where ...

    Text Solution

    |

  12. Five identical elastic balls are so suspended with strings of equal le...

    Text Solution

    |

  13. A particle of mass m moving with velocity u(1) collide elastically wit...

    Text Solution

    |

  14. Which of the following does not hold when two particles of masses m(1)...

    Text Solution

    |

  15. The coefficient of restitution ( e) for a perfectly elastic collision ...

    Text Solution

    |

  16. In one-dimensional elastic collision, the relative velocity of approac...

    Text Solution

    |

  17. Consider the elastic collision f two bodies A and B of equal mass. Ini...

    Text Solution

    |

  18. A body of mass M(1) collides elastically with another mass M(2) at res...

    Text Solution

    |

  19. When two bodies collide elastically, the force of interaction between ...

    Text Solution

    |

  20. Statement-1: The centre of mass of body may lie where there is no mass...

    Text Solution

    |