Import Question JSON

Current Question (ID: 20329)

Question:

$\text{An electric bulb rated } 50 \text{ W} - 200 \text{ V is connected across a } 100 \text{ V supply. The power dissipation of the bulb is -}$

Options:

1. $12.5 \text{ W}$
2. $25 \text{ W}$
3. $100 \text{ W}$
4. $50 \text{ W}$

Solution:

$\text{The resistance of the bulb is given by } R = \frac{V^2}{P} = \frac{200^2}{50} = 800 \ \Omega$ $\text{When connected to a 100 V supply, the power dissipation is } P = \frac{V^2}{R} = \frac{100^2}{800} = 12.5 \text{ W}$

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
}