Import Question JSON

Current Question (ID: 20277)

Question:

$A \ 200 \, \Omega \ \text{resistor has a certain color code. If one replaces the red color by green in the code, the new resistance will be:}$

Options:

1. $100 \, \Omega$
2. $500 \, \Omega$
3. $400 \, \Omega$
4. $300 \, \Omega$

Solution:

$\text{The color code for a 200} \, \Omega \ \text{resistor is red (2), black (0), brown (1).}$ $\text{Replacing red (2) with green (5) gives green (5), black (0), brown (1).}$ $\text{This corresponds to } 5 \times 10^2 = 500 \, \Omega.$

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
}