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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

A paramagnetic substance, in the form of a cube with sides 1 cm,...

A paramagnetic substance, in the form of a cube with sides 11 cm, has a magnetic dipole moment of 20×10−6JT−120 \times {10}^{- 6}JT^{- 1}, when a magnetic intensity of 60×103Am−160 \times {10}^{3}Am^{- 1} is applied. Its magnetic susceptibility is

Options

  1. A3.3×10−43.3 \times {10}^{- 4}
  2. B2.3×10−22.3 \times {10}^{- 2}
  3. C4.3×10−24.3 \times {10}^{- 2}
  4. D3.3×10−23.3 \times {10}^{- 2}

Correct answer

A. 3.3×10−43.3 \times {10}^{- 4}

Step-by-step solution

M=M = Magnetic moment per unit volume =20×10−6(1×10−2)3JT−1m−3= \dfrac{20 \times {10}^{- 6}}{\left(1 \times {10}^{- 2}\right)^{3}}JT^{- 1}m^{- 3}

=20JT−1m−3= 20JT^{- 1}m^{- 3}

H=60×103Am−1H = 60 \times {10}^{3}Am^{- 1}

χ=MHχ = \dfrac{M}{H}

=2060×103= \dfrac{20}{60 \times {10}^{3}}

=3.3×10−4= 3.3 \times {10}^{- 4}
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