Import Question JSON

Current Question (ID: 7579)

Question:

$\text{The incorrect set of quantum numbers among the following is:}$

Options:

1. $n = 4, l = 0, m = 0, s = -1/2$
2. $n = 5, l = 3, m = 0, s = +1/2$
3. $n = 3, l = 2, m = -3, s = -1/2$
4. $n = 3, l = 2, m = 2, s = -1/2$

Solution:

$\text{Hint: For an electron, n may be 0, 1, 2 ... and l=0 to n-1 and m=l to +l}$ $\text{(including 0) and s = ± 1/2}$\n\n$\text{Explanation:}$\n\n$\text{For an electron, n may be 0, 1, 2 ... and l=0 to n-1 and m=l to +l (including 0)}$ $\text{and s = ± 1/2}$\n\n$\text{Hence, if n = 3 , l = 0 to (3 -1) = 0,1, 2 and m = -l to +l = -2,-1, 0, +1, +2}$\n\n$\text{Therefore, option (3) is not a permissible set of quantum numbers.}$

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
}