Import Question JSON

Current Question (ID: 7559)

Question:

$\text{Correct statement among the following is:}$

Options:

1. $\text{Number of angular nodes = n - l - 1}$
2. $\text{Number of radial nodes = l}$
3. $\text{Total number of nodes = n - 1}$
4. $\text{All of the above}$

Solution:

$\text{Hint: Node is plane having zero electron density.}$\n\n$\text{Explanation:}$\n\n$\text{Angular node is also called a nodal plane. It is a plane that passes through the nucleus. Angular node is equal to the azimuthal quantum number (l).}$\n\n$\text{Radial node is a spherical surface where the probability of finding an electron is zero. The number of radial nodes increase with principle quantum number (n).}$\n\n$\text{Radial Nodes = n-l-1}$\n\n$\text{angular node = l}$\n\n$\text{Thus, option 3 is the correct answer.}$

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
}