Question:
A paramagnetic substance in the form of a cube with sides $1\, cm$ has a magnetic dipole moment of $20 \times 10^{-6} \; J/T$ when a magnetic intensity of $60 \times 10^3 \; A/m$ is applied. Its magnetic susceptibility is :
A paramagnetic substance in the form of a cube with sides $1\, cm$ has a magnetic dipole moment of $20 \times 10^{-6} \; J/T$ when a magnetic intensity of $60 \times 10^3 \; A/m$ is applied. Its magnetic susceptibility is :
Updated On: Aug 14, 2024
- $2.3 \times 10^{-2}$
- $3.3 \times 10^{-2}$
- $3.3 \times 10^{-4}$
- $4.3 \times 10^{-2}$
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The Correct Option is C
Solution and Explanation
$\chi = \frac{I}{H} $
$ I = \frac{\text{Magnetic} \; \text{moment}}{\text{Volume}} $
$ I = \frac{20 \times10^{-6}}{10^{-6}} = 20 N /m^{2} $
$\chi = \frac{20}{60 \times10^{+3}} = \frac{1}{3} \times10^{-3} $
$ = 0.33 \times10^{-3} = 3.3 \times10^{-4} $
$ I = \frac{\text{Magnetic} \; \text{moment}}{\text{Volume}} $
$ I = \frac{20 \times10^{-6}}{10^{-6}} = 20 N /m^{2} $
$\chi = \frac{20}{60 \times10^{+3}} = \frac{1}{3} \times10^{-3} $
$ = 0.33 \times10^{-3} = 3.3 \times10^{-4} $
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Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
Read More: Magnetism and Matter
Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
- They form closed loops traversing inside the magnet.
- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
- The lines do not intersect each other
- The tangent drawn at the field line gives the direction of the field at that point.