Home
Class 12
PHYSICS
Work done in rotating a bar magnet from ...

Work done in rotating a bar magnet from 0 to angle `theta` is:

A

`MH(1-cos theta)`

B

`M/H(1- cos theta)`

C

`M/H (cos theta -1)`

D

`MH(cos theta -1)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the work done in rotating a bar magnet from an angle of 0 degrees to an angle of θ, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula**: The work done (W) in rotating a bar magnet is given by the formula: \[ W = M B (\cos \theta_i - \cos \theta_f) \] where: - \( M \) is the magnetic moment of the bar magnet, - \( B \) is the magnetic field strength, - \( \theta_i \) is the initial angle, - \( \theta_f \) is the final angle. 2. **Identify Initial and Final Angles**: In this case, we are rotating the magnet from: - Initial angle \( \theta_i = 0^\circ \) - Final angle \( \theta_f = \theta \) 3. **Substitute the Angles into the Formula**: Plugging the angles into the work done formula gives: \[ W = M B (\cos 0^\circ - \cos \theta) \] 4. **Calculate Cosine Values**: We know that: - \( \cos 0^\circ = 1 \) Therefore, the equation simplifies to: \[ W = M B (1 - \cos \theta) \] 5. **Final Expression for Work Done**: Thus, the work done in rotating the bar magnet from 0 degrees to θ degrees is: \[ W = M B (1 - \cos \theta) \] ### Final Answer: The work done in rotating a bar magnet from 0 to angle θ is: \[ W = M B (1 - \cos \theta) \]

To find the work done in rotating a bar magnet from an angle of 0 degrees to an angle of θ, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula**: The work done (W) in rotating a bar magnet is given by the formula: \[ W = M B (\cos \theta_i - \cos \theta_f) \] ...
Promotional Banner

Topper's Solved these Questions

  • MAGNETISM AND MATTER

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS |10 Videos
  • MAGNETISM AND MATTER

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS |10 Videos
  • LAWS OF MOTION

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS |12 Videos
  • MECHANICAL PROPERTIES OF MATTER

    PHYSICS WALLAH|Exercise NEET Past 5 Yeats Questions|16 Videos

Similar Questions

Explore conceptually related problems

If a bar magnet moment M is freely suspended in a uniform magnetic field of strength field of strength B, then the work done in rotating the magent through an angle theta is

Find expression for work done in rotating a bar magnet in a uniform magnetic field.

To rotate a bar magnet from. 0^@ to 120^@ , the work done is:

As loop of magnetic moment M is placed in the orientation of unstable equilbirum position in a uniform magnetic field B . The external work done in rotating it through an angle theta is

If 'W' Joule is the work done in rotating the magnet from the field direction to a position that makes an angle 60' with the direction of the field, the torque required to hold the magnet in that direction is

The work done in rotating a magnet of pole strength 1 A-m and length 1 cm through an angle of 60^(@) from the magnetic meridian is (H=30A//m)

PHYSICS WALLAH-MAGNETISM AND MATTER -LEVEL 2
  1. The time period of a freely suspended bar magnet in a field is 2s. It ...

    Text Solution

    |

  2. The work done in turning a magnet of magnetic moment M by an angle of...

    Text Solution

    |

  3. The magnet of vibration magnetometer is heated so as to reduce its mag...

    Text Solution

    |

  4. The susceptibility of annealed iron at saturation is 5500. Find the pe...

    Text Solution

    |

  5. The magnetic susceptibility of a paramagnetic substance at -73^@C is 0...

    Text Solution

    |

  6. The relative permeability of iron is 6000. Its magnetic susceptibilit...

    Text Solution

    |

  7. Which one is not diamagnetic substance?

    Text Solution

    |

  8. The work done in turning a magnet of magnetic moment M by an angle of...

    Text Solution

    |

  9. Work done in rotating a bar magnet from 0 to angle theta is:

    Text Solution

    |

  10. A magnetic needle lying parallel to a magnetic field requires W units ...

    Text Solution

    |

  11. In which type of material the magnetic susceptibility does not depend ...

    Text Solution

    |

  12. For a permanent magnet the properties retentivity and coercivity are r...

    Text Solution

    |

  13. In a permanent magnet at room temperature.

    Text Solution

    |

  14. A 250-turns recantagular coil of length 2.1 cm and width 1.25 cm ca...

    Text Solution

    |

  15. Soft iron is used for making electromagnet because it

    Text Solution

    |

  16. If the total magnetic field strength (H) due to the earth is 28 Am^-1 ...

    Text Solution

    |

  17. There are four light-weight-rod sample A, B, C, D separately suspended...

    Text Solution

    |

  18. The susceptibility of magnesium at 300 K is 1.2 xx 10^(-3). At what te...

    Text Solution

    |

  19. For a vibration magnetometer, the time period of bar magnet can be red...

    Text Solution

    |

  20. A bar magnet of magnetic moment M is cut into two parts of equal lengt...

    Text Solution

    |