Import Question JSON

Current Question (ID: 21560)

Question:

$\text{Which of the following statements are correct?}$ $\text{(A) The electronic configuration of Cr is } [\text{Ar}]3d^5 4s^1.$ $\text{(B) The magnetic quantum number may have a negative value.}$ $\text{(C) In the ground state of an atom, the orbitals are filled in order of their increasing energies.}$ $\text{(D) The total number of nodes is given by } n-2.$

Options:

1. $\text{(A), (C) and (D) only}$
2. $\text{(A) and (B) only}$
3. $\text{(A) and (C) only}$
4. $\text{(A), (B), and (C) only}$

Solution:

$\text{Cr} = (\text{Ar})3d^5 4s^1$ $\text{The magnetic quantum number may have a negative value because it depends upon the azimuthal quantum number so, } m = -l \text{ to } +l \text{ is correct.}$ $\text{According to the Aufbau principle, the ground state of an atom, the orbitals are filled in order of their increasing order of their degenerate energy levels so, this statement is also correct.}$ $\text{The total number of nodes are given by } n-1 \text{ so, this statement is incorrect}$ $\text{Total number of nodes } = (n-1)$

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
}