Import Question JSON

Current Question (ID: 20236)

Question:

$\text{Current measured by the ammeter } A \text{ in the reported circuit when no current flows through } 10 \, \Omega \text{ resistance will be:}$

Options:

1. $20 \, A$
2. $30 \, A$
3. $10 \, A$
4. $0 \, A$

Solution:

$\text{Hint: } \frac{P}{Q} = \frac{R}{S}$ $\text{Using the condition of a balanced wheat stone bridge,}$ $\Rightarrow \frac{R}{3} = \frac{4}{6} \Rightarrow R = 2 \Omega$ $\text{So the effective resistance of the circuit is}$ $R_{\text{eq}} = \frac{6 \times 9}{6 + 9} = \frac{18}{5} \Omega$ $i = \frac{36}{R_{\text{eq}}} = 10 \, A$

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
}