Question

The magnetic moment produced in a substance of mass 5 g is \(6 \times 10^{-7} \, \text{A m}^2\). If its density is \(5 \, \text{g cm}^{-3}\), then intensity of magnetization in \(\text{A m}^{-1}\) will be

• A. \(6\)
• B. \(60\)
• C. \( \dfrac{1}{6} \)
• D. \(0.6\)

Hint:

Always convert volume into SI units while calculating magnetization.

Answer 1

The Correct Option is D

Step 1: Formula for intensity of magnetization.
Intensity of magnetization is defined as \[ I = \frac{M}{V}, \] where \(M\) is magnetic moment and \(V\) is volume of the substance.
Step 2: Calculating volume of the substance.
\[ V = \frac{\text{mass}}{\text{density}} = \frac{5}{5} = 1 \, \text{cm}^3 = 10^{-6} \, \text{m}^3. \]
Step 3: Calculating intensity of magnetization.
\[ I = \frac{6 \times 10^{-7}}{10^{-6}} = 0.6 \, \text{A m}^{-1}. \]
Step 4: Conclusion.
The intensity of magnetization is \(0.6 \, \text{A m}^{-1}\).