Import Question JSON

Current Question (ID: 17944)

Question:

$\text{The incorrect statement among the following regarding hexagonal close packing is:}$

Options:

1. $\text{The coordination number is 12.}$
2. $\text{It has 74\% packing efficiency.}$
3. $\text{Tetrahedral voids of the second layer are covered by the spheres of the third layer.}$
4. $\text{In this arrangement, spheres of the fourth layer are exactly aligned with those of the first layer.}$

Solution:

$\text{HINT: In HCP, packing efficiency is 74\%}$ $\text{Explanation:}$ $\text{Hexagonal close-packing can be arranged by two layers A and B one over other which can be diagrammatically represented as:}$ $\text{Here, we can see easily that 1st layer and 4th layer are not exactly aligned.}$ $\text{Thus, statement (4) is not correct while other statements (1), (2), and (3) are true.}$

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
}