Import Question JSON

Current Question (ID: 19064)

Question:

$\text{An NCC parade is going on at a uniform speed of } 9 \text{ km/h under a mango tree on which a monkey is sitting at a height of } 19.6 \text{ m.}$ $\text{At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at the time of drop is:}$ $\text{(Given } g = 9.8 \text{ m/s}^2)$

Options:

1. $5 \text{ m}$
2. $10 \text{ m}$
3. $19.8 \text{ m}$
4. $24.5 \text{ m}$

Solution:

$\text{Convert speed to m/s: } v = 9 \times \frac{5}{18} = 2.5 \text{ m/s}$ $\text{Time taken for mango to fall: } t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 19.6}{9.8}} = 2 \text{ s}$ $\text{Distance covered by cadet: } d = v \times t = 2.5 \times 2 = 5 \text{ m}$

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
}