Import Question JSON

Current Question (ID: 21549)

Question:

$\text{How many of the following ions/elements has/have the same value of spin magnetic moment?}$ $\text{V}^{3+}, \text{Cr}^{3+}, \text{Fe}^{2+}, \text{Ni}^{2+}$

Options:

1. $2$
2. $3$
3. $0$
4. $1$

Solution:

$\text{Hint: Spin magnetic moment value depends on the number of unpaired electrons.}$ $\text{The spin magnetic moment value depends on the number of unpaired electrons. If the number of unpaired electrons is the same then the spin magnetic moment is also the same.}$ $\text{Calculate the number of unpaired electrons in the given species as follows:}$ $\text{V}^{3+} - d^2 - 2 \text{ unpaired electrons}$ $\text{Cr}^{3+} - d^3 - 3 \text{ unpaired electrons}$ $\text{Fe}^{2+} - d^6 - 4 \text{ unpaired electrons}$ $\text{Ni}^{2+} - d^8 - 2 \text{ unpaired electrons}$ $\text{V}^{3+} \text{ and } \text{Ni}^{2+} \text{ has the same number of unpaired electrons and hence have the same value of spin magnetic Moment.}$ $\text{Thus, option first is the correct answer.}$

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
}