Question:

Two short bar magnets with pole strengths of 900 ab-amp $\times$ cm and 100 ab-amp $\times$ cm are placed with their axes in the same vertical lines with similar poles facing each other. Each magnet has length of 1 cm. When the separation between the nearer poles is 1 cm. The weight of the.upper .magnet is supported by the repulsive force between the magnets. If g is 1000 $cm/sec^2$ the mass of the upper magnet is:

Updated On: Jul 7, 2022
  • 100g
  • 45g
  • 77.5g
  • 55g
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The Correct Option is D

Solution and Explanation

In equilibrium position net repulsion due to magnetic interaction = weight of the upper megnet $\frac{900 \times 100}{1^2} + \frac{(-900) \times (-100)}{3^2} + \frac{900(-100)}{2^2} + \frac{(-900) 100}{2^2} + = m \times 1000 \, m = 55 \, g$
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Concepts Used:

Magnetic Properties of Materials

Magnetic Material:

Magnetic material is one that can repel or attract other materials. The process of attraction or repulsion of these materials depends on the arrangement of electrons, which is known as the magnetic moment of that material.

Diamagnetic - With regard to the susceptibility χ, a material is diamagnetic if χ is negative. These materials produce negative magnetization when they are placed in the magnetic field. When placed in a magnetic field, these diamagnetic materials are barely magnetized. Diamagnetic substances are the ones that are repelled by magnets. 

Paramagnetic - In the presence of an external magnetic field, the substances that get weakly magnetized are known as paramagnetic substances. The magnetic dipoles align along the direction of the applied field, reinforcing and enhancing the magnetic field. These substances get weakly attracted to a magnet as they tend to move from a weaker magnetic field to a stronger one. The magnetization (M) of paramagnetic materials, discovered by Madam Curie, depends on the temperature (T) and the external magnetic field B.

M = C x (B/T) 

Where M = Magnetization

C = Curie Constant

B = External magnetic field

T = Temperature

Ferromagnetic - The materials strongly attracted by the magnetic field are known as ferromagnetic materials.