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. $2.3\times {10}^{-2}$
• B. $3.3\times {10}^{-2}$
• C. $3.3\times {10}^{-4}$
• D. $4.3\times {10}^{-2}$

Answer 1

Answer: (C)

$3.3\times {10}^{-4}$

$\chi =\frac{I}{H}$
$I=\frac{Magneticmoment}{Volume}$
$I=\frac{20\times {10}^{-6}}{{10}^{-6}}=20N/m^2$
$\chi =\frac{20}{60\times {10}^{+3}}=\frac{1}{3}\times {10}^{-3}$
$=0.33\times {10}^{-3}=3.3\times {10}^{-4}$.