Home
Class 12
PHYSICS
Moment of inertia of a rigid body is exp...

Moment of inertia of a rigid body is expressed in units of kg `m^(2)`. There are two rods A and B made of same metal. Both of them have equal cross-sectional area bur rod A is double in length as compared to rod B. What is the ratio of moment of ineria of rod A to that of rod B?

A

1

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the moment of inertia and radius of gyration of uniform cross-section rod of mass 4 kg and length 90 cm about an axis through one end and perpendicular to the length of rod.

The moment of inertia of a rod about an axis through its centre and perpendicular to it is (1)/(12)ML^(2) (where M is the mass and L, the length of the rod). The rod is bent in the middle so that the two halves make an angle 60^(@) . The moment of inertia of the bent rod about the same axis would be..........

Find the moment of inertia and radius of gyration of uniform cross-section rod of mass M and length l about an axis through a point at distance (l)/(3) from one end and perpendicular to the length of rod.

What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end?

Two different rods A and B are kept as shown in figure . The variation of temperature of different cross sections with distance is plotted in a graph shown in figure . The ration of thermal conductivities of A and B is -

A metal rod of length 10 cm and a rectangular cross-section of 1 cm xx (1)/(2) cm is connected to a battery across oppostie faces. The resistance will be

Two rods A and B are of equal lengths. Their ends are kept at the same temperature difference and their area of cross - sections are A_(1) and A_(2) and thermal conductivities k_(1) and k_(2) . The rate of heat transmission in two rods will be equal, if . . . .. . .

A non-uniform rod of mass m , length l and radius r is having its centre of mass at a distance l//4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density rho . The moment of inertia of the rod about the centre of mass is I . The angular acceleration of point A relative to point B just after the rod is released from the position as shown in the figure is

ALLEN -TEST PAPER-Exercise (Physics)
  1. A sphere of mass M and radius r slips on a rough horizontal plane. At ...

    Text Solution

    |

  2. A 1 Kg solid sphere rolls without slipping on a rough horizontal sufac...

    Text Solution

    |

  3. Moment of inertia of a rigid body is expressed in units of kg m^(2). T...

    Text Solution

    |

  4. A mass m(1) moves with a great velocity. It strikes another mass m(2) ...

    Text Solution

    |

  5. N similar slabs of cubical shape of edge b are lying on ground. Densit...

    Text Solution

    |

  6. A ball collides elastically with a massive wall moving towards it with...

    Text Solution

    |

  7. A block of mass m=1/3 kg is kept on a rough horizontal plane. Friction...

    Text Solution

    |

  8. Consider two observers moving with respect to each other at a speed v ...

    Text Solution

    |

  9. Consider following statement (A) Work done by pseudo force in non-in...

    Text Solution

    |

  10. Forces acting on a particle have magnitude of 14N, 7N and 7N act in th...

    Text Solution

    |

  11. The graph below shows how the force on a mass depends on the position ...

    Text Solution

    |

  12. The kinetic energy of a particle continuously icreses with time

    Text Solution

    |

  13. The only force acting on a block is along x-axis is given by P=-((4)/(...

    Text Solution

    |

  14. In the figure, a block slides along a track from one level to a higher...

    Text Solution

    |

  15. A block of mass 2.0 kg is given an initial speed along the floor towar...

    Text Solution

    |

  16. A particle moves on x-axis such that its KE varies as a relation KE=3t...

    Text Solution

    |

  17. The potential energy (in joules ) function of a particle in a region o...

    Text Solution

    |

  18. AB is a quarter of a smooth horizontal circular track of radius R,A pa...

    Text Solution

    |

  19. The potential energy of a particle of mass 1 kg moving in X-Y plane is...

    Text Solution

    |

  20. A block of mass m is pushed up against a spring, compressing it a dist...

    Text Solution

    |