Import Question JSON

Current Question (ID: 16740)

Question:

$\text{In the Wheatstone's bridge (shown in the figure below)}$ $X = Y \text{ and } A > B.$ $\text{The direction of the current between } a \text{ and } b \text{ will be:}$

Options:

1. $\text{from } a \text{ to } b.$
2. $\text{from } b \text{ to } a.$
3. $\text{from } b \text{ to } a \text{ through } c.$
4. $\text{from } a \text{ to } b \text{ through } c.$

Solution:

$\text{(2) In the part } cbd:$ $V_c - V_b = V_b - V_d \Rightarrow V_b = \frac{V_c + V_d}{2}$ $\text{In the part } cad:$ $V_c - V_a > V_a - V_d \Rightarrow \frac{V_c + V_d}{2} > V_a \Rightarrow V_b > V_a$

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
}