Import Question JSON

Current Question (ID: 16474)

Question:

$\text{What is the potential energy of two equal positive point charges of } 1 \, \mu\text{C each held } 1 \, \text{m apart in the air?}$

Options:

1. $9 \times 10^{-3} \, \text{J}$
2. $9 \times 10^{-3} \, \text{eV}$
3. $2 \, \text{eV/m}$
4. $\text{zero}$

Solution:

$\text{Hint: } U = \frac{k q_1 q_2}{r}$ $\text{Step: Find the potential energy of the system.}$ $\text{Given: } q_1 = q_2 = 10^{-6} \, \text{C}, \, r = 1 \, \text{m}$ $\Rightarrow U = k \frac{q_1 q_2}{r} = \frac{9 \times 10^9 \times 10^{-6} \times 10^{-6}}{1}$ $\Rightarrow U = 9 \times 10^{-3} \, \text{J}$ $\text{Hence, option (1) is the correct answer.}$

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
}