Import Question JSON

Current Question (ID: 9732)

Question:

$\text{At a wall, } N \text{ bullets, each of mass } m\text{, are fired with a velocity } v \text{ at the rate of } n \text{ bullets/sec upon the wall. The bullets are stopped by the wall. The reaction offered by the wall to the bullets is:}$

Options:

1. $\frac{Nmv}{n}$
2. $nNmv$
3. $n\frac{Nv}{m}$
4. $nmv$

Solution:

$F = \frac{\Delta P}{\Delta t}$ $\text{Moment transferred to the wall,}$ $\Delta P = mv, \Delta t = \frac{1}{n}$ $\therefore F = \frac{mv}{\frac{1}{n}} = nmv$

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
}