Import Question JSON

Current Question (ID: 7541)

Question:
$\text{The wave mechanical model of the atom depends upon}$
Options:
  • 1. $\text{De-Broglie concept of dual nature of electron}$
  • 2. $\text{Heisenberg uncertainty principle}$
  • 3. $\text{Schrödinger's principle}$
  • 4. $\text{All}$
Solution:
$\text{Hint: Wave mechanical model define the locations of electrons in orbit around the nucleus of an atom.}$ $\text{Wave mechanical model of the atom depends upon De-Broglie concept of dual nature of electron,}$ $\text{Heisenberg uncertainty principle and Schrödinger's principle. The wave-mechanical model is a current theory describing the locations of electrons in orbit around the nucleus of an atom.}$ $\text{Detailed explanation:}$ $\text{1. De-Broglie concept of dual nature of electron: This concept established that electrons exhibit both particle and wave properties, which is fundamental to treating electrons as waves in quantum mechanics.}$ $\text{2. Heisenberg uncertainty principle: This principle states that we cannot simultaneously determine the exact position and momentum of an electron, leading to the concept of probability distributions rather than fixed orbits.}$ $\text{3. Schrödinger's principle: Schrödinger's wave equation mathematically describes the wave nature of electrons and provides the framework for calculating electron probability distributions in atoms.}$ $\text{All three principles are essential foundations of the wave mechanical model of the atom. The model combines these concepts to describe electrons as probability clouds or orbitals rather than fixed circular paths.}$ $\text{Therefore, the correct answer is option 4: All.}$

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
}