Import Question JSON

Current Question (ID: 20288)

Question:

$\text{A resistor develops } 300 \text{ J of thermal energy in } 15 \text{ s when a current of } 2 \text{ A is passed through it. If the current increases to } 3 \text{ A, the energy developed in } 10 \text{ s is:}$

Options:

1. $150 \text{ J}$
2. $250 \text{ J}$
3. $350 \text{ J}$
4. $450 \text{ J}$

Solution:

$\text{Hint: } H = I^2Rt$ $H_1 = I^2R_1t$ $300 = (2)^2 \times R_1 \times 15$ $H_2 = (3)^2 \times R_1 \times 10$

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
}