Import Question JSON

Current Question (ID: 17466)

Question:

$\text{A tall man, of height 6 feet, wants to see his full image. The required minimum length of the mirror will be:}$

Options:

1. $12 \text{ feet}$
2. $3 \text{ feet}$
3. $6 \text{ feet}$
4. $\text{Any length}$

Solution:

$\text{Hint: } h' = \frac{h}{2}$ $\text{Step: Find the minimum height of the mirror.}$ $\text{To see his full image, a person only needs a mirror that is half their height.}$ $\text{This is because the mirror reflects light from the top and bottom of the}$ $\text{person symmetrically, so a mirror half the person's height will allow them to}$ $\text{see their full reflection.}$ $\text{The minimum height of the mirror is given by;}$ $h' = \frac{h}{2}$ $h' = \frac{6}{2}$ $\Rightarrow h' = 3 \text{ feet}$ $\text{Hence, option (2) is the correct answer.}$

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
}