Import Question JSON

Current Question (ID: 20306)

Question:

$\text{In a meter bridge experiment for measuring unknown resistance } S, \text{ the null point is obtained at a distance } 30 \text{ cm from the left side as shown at point } D. \text{ If } R \text{ is } 5.6 \text{ k}\Omega, \text{ then the value of unknown resistance } S \text{ will be:}$

Options:

1. $24 \ \Omega$
2. $2400 \ \Omega$
3. $120 \ \Omega$
4. $3600 \ \Omega$

Solution:

$\frac{S}{R} = \frac{l_1}{100 - l_1}$ $\frac{S}{5600} = \frac{30}{70}$ $S = \frac{30}{70} \times 5600 = 2400 \ \Omega$

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
}