Import Question JSON

Current Question (ID: 20887)

Question:

$\text{Consider the ground state of Cr atom (Z=24). The numbers of electrons with the azimuthal quantum numbers, } l=1 \text{ and } 2 \text{ are, respectively:}$

Options:

1. $12 \text{ and } 4$
2. $12 \text{ and } 5$
3. $16 \text{ and } 4$
4. $16 \text{ and } 5$

Solution:

$\text{Hint: The p orbital represents by } l \text{ quantum number.}$ $\text{Step 1:}$ $\text{The electronic configuration of Cr in its ground state is as follows:}$ $1s^2 2s^2 2p^6 3s^2 3p^6 4s^1 3d^5$ $\text{The azimuthal quantum numbers, } l=1 \text{ and } l=2 \text{ represent p and d orbital respectively.}$ $\text{Step 2:}$ $\text{In the p orbital total 12 electrons are present and in the d orbital 5 electrons are present.}$ $\text{Hence, option second is the correct answer.}$

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
}