Import Question JSON

Current Question (ID: 19508)

Question:

$\text{A body has weight } W \text{ on the surface of earth. What is the weight at a height } 9 \text{ times the radius of the earth?}$

Options:

1. $\frac{W}{100}$
2. $\frac{W}{81}$
3. $\frac{W}{64}$
4. $\frac{W}{121}$

Solution:

$W = \frac{G M_e m}{R_e^2} \quad \text{(1)}$ $W' = \frac{G M_e m}{(R_e + 9 R_e)^2} \quad \text{(2)}$ $\text{From (1) and (2)}$ $W' = \frac{W}{100}$

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
}