Import Question JSON

Current Question (ID: 9852)

Question:

$\text{A body of mass } m \text{ dropped from a height } h \text{ reaches the ground with a speed of } 1.4\sqrt{gh}\text{. The work done by air drag is:}$

Options:

1. $-0.2mgh$
2. $-0.02mgh$
3. $-0.04mgh$
4. $mgh$

Solution:

$\text{By applying the work-energy theorem:}$ $\Delta K.E. = \text{work done by all the force}$ $\frac{1}{2}m(1.4)^2gh - 0 = W_g + W_{\text{air drag}}$ $0.98mgh - 0 = mgh + W_{\text{air drag}}$ $W_{\text{air drag}} = -0.02mgh$

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
}