Import Question JSON

Current Question (ID: 7560)

Question:

$\text{Orbitals having two spherical nodes are:}$

Options:

1. $\text{2s}$
2. $\text{4s}$
3. $\text{3d}$
4. $\text{6f}$

Solution:

$\text{Hint: Use the formula to calculate spherical nodes.}$\n\n$\text{Explanation:}$\n\n$\text{A spherical node is known as a radial node. Radial nodes are given by (n-l-1), where n-1 is the total number of nodes, and (l) is the number of angular nodes. (n is the principal quantum number, and (l) is the angular momentum quantum number.}$\n\n$\text{Use the formula given below to calculate spherical nodes}$\n\n$\text{No. of spherical nodes = n-l-1;}$\n\n$\text{The 6f contains two spherical nodes. Calculation is as follows = 6-3-1 = 2}$\n\n$\text{So, option 4 is the correct answer.}$

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
}