Import Question JSON

Current Question (ID: 20325)

Question:

$\text{Three voltmeters are connected in a circuit as shown in the diagram.}$ $\text{Then the correct relation among their readings } (V_1, V_2 \text{ and } V_3) \text{ is:}$

Options:

1. $V_1 > V_2 = V_3$
2. $V_1 + V_2 = V_3$
3. $V_1 = V_2 = V_3$
4. $V_1 + V_3 = V_2$

Solution:

$\text{Hint: The combined voltmeters } V_1 \text{ and } V_2 \text{ from points } P \text{ and } Q \text{ are parallel to } V_3.$ $\text{Across points } P \& Q \ (V_1 \& V_2) \text{ combined is in parallel to } (V_3)$ $\text{Therefore } V_{12} = V_3 \Rightarrow V_1 + V_2 = V_3$

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
}