Import Question JSON

Current Question (ID: 19032)

Question:

$\text{A stone is dropped from the top of a building. When it crosses a point } 5 \text{ m below the top, another stone starts to fall from a point } 25 \text{ m below the top.}$ $\text{Both stones reach the bottom of the building simultaneously. The height of the building is:}$ $1.\ 35 \text{ m}$ $2.\ 45 \text{ m}$ $3.\ 50 \text{ m}$ $4.\ 25 \text{ m}$

Options:

1. $35 \text{ m}$
2. $45 \text{ m}$
3. $50 \text{ m}$
4. $25 \text{ m}$

Solution:

$\text{Hint: } s = ut + \frac{1}{2}at^2$ $\text{Time for particle to meet } = t' = \frac{s_{\text{rel}}}{s_{\text{rel}}} = \frac{20}{10} = 2 \text{ sec}$ $\text{Time taken by 1st particle to reach ground } = 3 \text{ sec}$ $H = \frac{1}{2} g (3)^2 = 45 \text{ m}$

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
}