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Question

A disc shaped magnet levitates above a superconducting material that has been cooled by liquid nitrogen. This happens because a superconductor is:

The correct answer is

Diamagnetic

Superconductor Magnetic Levitation Phenomenon

The intriguing phenomenon of a disc-shaped magnet levitating above a superconducting material, often cooled by liquid nitrogen, is a direct result of the unique magnetic properties exhibited by superconductors. This spectacular effect highlights one of the most remarkable characteristics of these advanced materials.

Superconductor Properties and the Meissner Effect

A superconductor is a material that, when cooled below a certain critical temperature (\(T_c\)), exhibits two primary properties:

  • Zero Electrical Resistance: Below \(T_c\), current can flow through the material indefinitely without any energy loss.
  • Perfect Diamagnetism (Meissner Effect): This is the key property for levitation. When a superconductor is cooled below its critical temperature in the presence of an external magnetic field, it completely expels all magnetic flux lines from its interior. This expulsion of magnetic fields is known as the Meissner effect.

Diamagnetic Nature of Superconductors

To understand why levitation occurs, it's crucial to grasp the concept of diamagnetism.

  • Diamagnetism is a property of all materials that creates an induced magnetic field in an opposite direction to an externally applied magnetic field. This induced field results in a repulsive force.
  • Most materials exhibit weak diamagnetism, but superconductors are unique because they are perfect diamagnets. Their expulsion of magnetic fields is complete, making them repel external magnets very strongly.

Levitation Explained by Diamagnetism

When a disc-shaped magnet is placed near a superconducting material that has been cooled sufficiently (e.g., by liquid nitrogen to reach its critical temperature), the superconductor reacts to the magnet's magnetic field in the following way:

  • The superconductor, due to the Meissner effect, expels the magnetic field lines from its volume.
  • To expel these lines, the superconductor generates its own internal magnetic field that is equal in magnitude and opposite in direction to the external field from the magnet.
  • This induced opposing magnetic field creates a strong repulsive force between the superconductor and the external magnet.
  • If this repulsive force is strong enough to counteract the force of gravity acting on the magnet, the magnet will be pushed upwards and will levitate above the superconductor without physical contact.

Why Other Options Are Not Correct

  • Nonmagnetic: A nonmagnetic material would not interact with a magnet to create a repulsive force, so levitation would not occur.
  • Paramagnetic: Paramagnetic materials are weakly attracted to external magnetic fields. They would not cause repulsion, and thus no levitation.
  • Ferromagnetic: Ferromagnetic materials (like iron) are strongly attracted to magnets and would stick to them, not levitate.

Therefore, the ability of a superconductor to levitate a magnet is directly attributed to its perfect diamagnetic nature, arising from the Meissner effect.

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Important Questions from Miscellaneous

  1. A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :

  2. A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f1V (f1 < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a < g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f2V. Then:

  3. A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :

  4. Consider the following statements:

    1. Distance between the longitudes becomes zero on North Pole and South Pole.

    2. Distance between the longitudes is maximum on the Equator.

    3. Number of longitudes is more than number of latitudes.

    Which of the statements given above is/are correct?

  5. One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :

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