Import Question JSON

Current Question (ID: 18825)

Question:

$\text{Match the metal ions given in Column I with the spin magnetic moments of the ions given in Column II}$ $\text{and select the correct match:}$ $\begin{array}{|c|c|} \hline \text{Column I} & \text{Column II} \\ \hline \text{A. Co}^{3+} & \text{i. } \sqrt{8} \text{ B.M.} \\ \text{B. Cr}^{3+} & \text{ii. } \sqrt{35} \text{ B.M.} \\ \text{C. Fe}^{3+} & \text{iii. } \sqrt{15} \text{ B.M.} \\ \text{D. Ni}^{2+} & \text{iv. } \sqrt{24} \text{ B.M.} \\ \hline \end{array}$

Options:

1. $\text{A. iv, B. iii, C. ii, D. i}$
2. $\text{A. i, B. ii, C. iii, D. iv}$
3. $\text{A. iv, B. i, C. ii, D. iii}$
4. $\text{A. iii, B. iv, C. i, D. ii}$

Solution:

$\text{Magnetic moment} = \mu = \sqrt{n(n+2)}$ $\text{where } n = \text{no. of unpaired electrons.}$ $\text{Co}^{3+} = [\text{Ar}] \ 3d^6 \ n = 4 \ \mu = \sqrt{24}$ $\text{Cr}^{3+} = [\text{Ar}] \ 3d^3 \ n = 3 \ \mu = \sqrt{15}$ $\text{Fe}^{3+} = [\text{Ar}] \ 3d^5 \ n = 5 \ \mu = \sqrt{35}$ $\text{Ni}^{2+} = [\text{Ar}] \ 3d^8 \ n = 2 \ \mu = \sqrt{8}$

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
}