The assertion and reason you've presented relate to the behavior of magnetic fields and the concept of work in physics. Let's break down both the assertion and the reason to determine their validity and relationship.
Understanding the Assertion
The assertion states that if a unit north pole rotates around a current-carrying wire, then work is done. In the context of magnetic fields, a magnetic field is created around a wire when an electric current flows through it. When a magnetic dipole, such as a north pole, is placed in a magnetic field, it experiences a torque that can cause it to rotate.
Work Done by Magnetic Fields
For work to be done, there must be a force acting through a distance. In the case of a magnetic field, the force on a magnetic dipole is given by the torque acting on it. If the north pole rotates in a magnetic field, it indeed experiences a torque, which implies that work is done to maintain that rotation against any opposing forces. Thus, the assertion is correct.
Examining the Reason
The reason provided states that the magnetic field produced by the current is always non-conservative. A conservative field is one where the work done in moving a particle between two points is independent of the path taken. Magnetic fields, particularly those created by currents, do not have this property. The work done in moving a magnetic dipole in a magnetic field can depend on the path taken, which aligns with the idea of a non-conservative field.
Linking Assertion and Reason
Since the assertion is correct and the reason accurately describes the nature of the magnetic field produced by a current, we can conclude that both statements are true. The reason provides a valid explanation for the assertion, as the non-conservative nature of the magnetic field indeed allows for work to be done when a magnetic dipole rotates around a current-carrying wire.
Final Evaluation
- Assertion: Correct
- Reason: Correct and provides the right explanation
Therefore, the correct choice is: 1) A, R correct; R right explanation.