Home
Class 12
PHYSICS
A small compass needle of magnetic momen...

A small compass needle of magnetic moment .m. is free to turn about an axis perpendicular to the direction of uniform magnetic field .B.. The moment of inertia of the needle about the axis is .I.. The needle is slightly disturbed from its stable position and then released. Prove that it executes simple harmonic motion. Hence deduce the expression for its time period.

Promotional Banner

Topper's Solved these Questions

  • Sample Paper 6

    OSWAAL PUBLICATION|Exercise Exercise|40 Videos
  • Sample Paper 8

    OSWAAL PUBLICATION|Exercise Exercise|37 Videos

Similar Questions

Explore conceptually related problems

A circular current loop of magnetic moment M is in an arbitrary orientation in an external uniform magnetic field vecB . The work done to rotate the loop by 30^(@) about an axis perpendicular to its plane is

If the solenoid is free to tum about the vertical direction and a uniform hortzontal magnetic field of 0.25 T is applied, what is the magnitude of torque on the solenoid when its axis makes an angle of 30^@ with the direction of applied field? (Here M=0.6J/T)

Moment of interia of a thin uniform rod rotating about the perpendicular axis passing through its center is I. If the same rod is bent into a ring and its moment of inertia about its diameter is

A short bar magnet of magnetic moment m=0.32 JT^(-1) is placed in a uniform magnetic field of 0.15 T. If the bar is free to rotate in the plane of the field, which orientation would correspond to its (a) stable and (b) unstable equilibrium? What is the potential energy of the magnetic in each case?

OSWAAL PUBLICATION-Sample Paper 7-Exercise
  1. What is (a) electric dipole moment , (b) dielectric strength ?

    Text Solution

    |

  2. The current in a coil is changing from 10 A and 8 A in 0.01 second. Th...

    Text Solution

    |

  3. Derive the expression for emf induced in a straight conductor moving p...

    Text Solution

    |

  4. State two conditions required for obtaining coherent sources. In Young...

    Text Solution

    |

  5. Derive an expression for potential energy of a system of two charges i...

    Text Solution

    |

  6. What is full wave rectification? Explain the working of a full wave re...

    Text Solution

    |

  7. With the help of necessary circuit diagram explain the working of a ph...

    Text Solution

    |

  8. Show that the force on each plate of a parallel plate capacitor has a ...

    Text Solution

    |

  9. Distinguish between .sky waves. and .space waves. modes of propagatio...

    Text Solution

    |

  10. Distinguish between .sky waves. and .space waves. modes of propagatio...

    Text Solution

    |

  11. Define half-life of a radioactive substance. Derive the expression for...

    Text Solution

    |

  12. A small compass needle of magnetic moment .m. is free to turn about an...

    Text Solution

    |

  13. A compass needle, free to turn in a vertical plane orients itself wit...

    Text Solution

    |

  14. A compass needle, free to turn in a vertical plane orients itself wit...

    Text Solution

    |

  15. What is drift velocity of free electrons ? Deduce I = n A eV(d) where ...

    Text Solution

    |

  16. A charged particle enters a region of uniform magnetic field with its ...

    Text Solution

    |

  17. A charged particle enters a region of uniform magnetic field with its ...

    Text Solution

    |

  18. The spectrum of a star in the visible and the ultraviolet region was o...

    Text Solution

    |

  19. Calculate the resonant frequency and Q-factor of a series L-C-R circui...

    Text Solution

    |

  20. In a Young.s slit experiment, the slits are separated by 0.24 mm and ...

    Text Solution

    |