Import Question JSON

Current Question (ID: 16917)

Question:

$\text{The magnetic susceptibility is negative for:}$

Options:

1. $\text{paramagnetic material only.}$
2. $\text{ferromagnetic material only.}$
3. $\text{paramagnetic and ferromagnetic materials.}$
4. $\text{diamagnetic material only.}$

Solution:

$\text{Hint: The diamagnetic substances develop dipole moment opposite to the applied external magnetic field.}$ $\text{Explanation: The relation between magnetic permeability and magnetic susceptibility is given by;}$ $\text{The magnetic permeability } \mu \text{ and magnetic susceptibility are related to each other by the following relation:}$ $\mu = 1 + \chi_m \quad \ldots (1)$ $\text{For the diamagnetic substance, } \mu < 1$ $\text{If } \mu \text{ is less than 1, then the magnetic susceptibility will become negative in the above relation.}$ $\text{In the case of paramagnetic substances and ferromagnetic substances, the magnetic susceptibility is positive.}$ $\text{Hence, option (4) is the correct answer.}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}