Home
Class 11
PHYSICS
Two lenses one convex and one concave ar...

Two lenses one convex and one concave are of same mass and same radius. Which will have greater moment of inertia about its pole?

Text Solution

AI Generated Solution

To determine which lens has a greater moment of inertia about its pole, we need to analyze the distribution of mass in both the convex and concave lenses. ### Step-by-Step Solution: 1. **Understanding Moment of Inertia**: The moment of inertia (I) of an object is defined as the sum of the products of the mass of each particle (m) and the square of its distance (r) from the axis of rotation. Mathematically, it can be expressed as: \[ I = \sum m_i r_i^2 ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise REVISION EXERCISES (Additional Questions Carrying 1 mark )|4 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise REVISION EXERCISES (Fill in the Blanks Carrying 1 mark )|9 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise HIGHER ORDER THINKING SKILLS & ADVANCED LEVEL QUESTIONS WITH ANSWERS|13 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

Two lenses, one convex and other concave, are of same mass and same radius. Which will have greater moment of inertia?

A steel sphere and a wooden sphere have the same mass. Then which will have greater moment of inertia about the diameter ?

An iron disc and a wooden disc have the same radius. Then which will have larger moment of inertia about the diameter ?

An iron ball and a wooden ball have the same radius. Then which will have smaller moment of inertia about the diameter ?

A steel ring and a wooden ring have the same mass. Then which will have smaller moment of inertia about the diameter ?

Which of the following bodies of same mass and same radius has minimum moment of inertia?

Two lenses of same mass and same radius are given. One is convex and other is concave. Which one will have greater moment of inertia, when rotating about an axis perpendicular to the plane and passing through the centre ?

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively I_(A) and I_(B) such that.

A ring and a circular disc of different materials have equal masses and equal radii. Which one will have a larger moment of inertia about an axis passing through its centre of mass perpendicular to its plane ?

MODERN PUBLICATION-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-REVISION EXERCISES (Very Short Answer Questions Carrying 1 mark)
  1. What is the position of the centre of mass of a cubical or rectangular...

    Text Solution

    |

  2. Can a body moving in a circular path be at equilibrium?

    Text Solution

    |

  3. Why the bottom of a ship is made heavy?

    Text Solution

    |

  4. Find the centre of mass of a uniform triangula lamina.

    Text Solution

    |

  5. What can we conclude for the potential energy of a system in stable eq...

    Text Solution

    |

  6. What is the physical significance of moment of inertia?

    Text Solution

    |

  7. Does the moment of inertia of a body change with the speed of rotatio...

    Text Solution

    |

  8. Does the moment of inertia of a rigid body change with the axis of rot...

    Text Solution

    |

  9. Does the radius of gyration depend on the speed of the rigid body?

    Text Solution

    |

  10. About which axis would the moment of inertia of a body be minimum ?

    Text Solution

    |

  11. What are the units and dimensions of moment of inertia ? Is it a vecto...

    Text Solution

    |

  12. Two lenses one convex and one concave are of same mass and same radius...

    Text Solution

    |

  13. A disc is recast into a hollow sphere of having half radius? How momen...

    Text Solution

    |

  14. The angular momentum of a system of particles is conserved

    Text Solution

    |

  15. Is radius of gyration of a body constant quantity ?

    Text Solution

    |

  16. Why there two propellers in a helicopter ?

    Text Solution

    |

  17. What is moment of inertia of a solid sphere about its diameter ?

    Text Solution

    |

  18. There are two spheres of same mass and same radius, one is solid and o...

    Text Solution

    |

  19. About what axis would a uniform cube have its minimum moment of inerti...

    Text Solution

    |

  20. What do you mean by angular impulse?

    Text Solution

    |