Import Question JSON

Current Question (ID: 18735)

Question:

$\text{The correct splitting diagram of d orbitals in an octahedral crystal field is:}$

Options:

1. $\begin{array}{c} \text{d}_{z^2} \quad \text{d}_{x^2-y^2} \\ \hline \text{d}_{xy} \quad \text{d}_{xz} \quad \text{d}_{yz} \end{array}$
2. $\begin{array}{c} \text{d}_{z^2} \quad \text{d}_{x^2-y^2} \\ \hline \text{d}_{xy} \quad \text{d}_{xz} \end{array}$
3. $\begin{array}{c} \text{d}_{xy} \\ \hline \text{d}_{z^2} \quad \text{d}_{yz} \quad \text{d}_{xz} \end{array}$
4. $\text{None of these.}$

Solution:

$\text{HINT: In octahedral complex, 2 orbital energy increases and three orbital energy decreases.}$ $\text{In coordination complex, ligands approach along the axis. Thus, those orbitals which present at the axis experience more repulsion and will be raised in energy.}$ $\text{The splitting diagram of d orbitals in an octahedral crystal field is as follows:}$ $\begin{array}{c} \text{d}_{z^2} \quad \text{d}_{x^2-y^2} \\ \hline \text{d}_{xy} \quad \text{d}_{xz} \quad \text{d}_{yz} \end{array}$

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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
}