SATHEE: Magnetics 5 Question 4

Magnetics 5 Question 4

4. A paramagnetic substance in the form of a cube with sides 1 $c m$ 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

(2019 Main, 11 Jan II)

(b) The atom is placed in a uniform magnetic induction $B$ such that the normal to the plane of electron’s orbit makes an angle of $30^{\circ}$ with the magnetic induction. Find the torque experienced by the orbiting electron.

(a) $3.3 \times 10^{- 4}$

(b) $3.3 \times 10^{- 2}$

(d) $2.3 \times 10^{- 2}$

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Answer:

Correct Answer: 4. (a)

Solution:

Given, side of cube $= 1 c m = 10^{- 2} m$

$∴$ Volume, $V = 10^{- 6} m^{3}$

Dipole moment, $M = 20 \times 10^{- 6} J / T$

Applied magnetic intensity, $H = 60 \times 10^{3} A / m$

Intensity of magnetisation

$I = \frac{M}{V} = \frac{20 \times 10^{- 6}}{10^{- 6}} = 20 A / m$

Now, magnetic susceptibility $χ$ is

$χ = \frac{Intensity of magnetisation}{Applied magnetic intensity} = \frac{I}{H} = \frac{20}{60 \times 10^{3}}$

$\Rightarrow χ = \frac{1}{3} \times 10^{- 3} = 3.33 \times 10^{- 4}$

Magnetics 5 Question 4

4. A paramagnetic substance in the form of a cube with sides 1 $c m$ 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

Answer:

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Magnetics 5 Question 4

4. A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20×10−6J/T when a magnetic intensity of 60×103A/m is applied. Its magnetic susceptibility is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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4. A paramagnetic substance in the form of a cube with sides 1 $c m$ 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