Import Question JSON

Current Question (ID: 16745)

Question:

$\text{A meter bridge is set up to determine unknown resistance } x \text{ using a standard } 10 \, \Omega \text{ resistor.}$ $\text{The galvanometer shows the null point when the tapping key is at a } 52 \, \text{cm mark.}$ $\text{End corrections are } 1 \, \text{cm and } 2 \, \text{cm respectively for end } A \text{ and } B. \text{ Then the value of } x \text{ is:}$

Options:

1. $10.2 \, \Omega$
2. $10.6 \, \Omega$
3. $10.8 \, \Omega$
4. $11.1 \, \Omega$

Solution:

$\text{Using } \frac{P}{Q} = \frac{R}{S} \Rightarrow \frac{x}{52+1} = \frac{10}{48+2} \Rightarrow x = 10.6 \, \Omega$

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
}