Import Question JSON

Current Question (ID: 20390)

Question:

$\text{Two long straight parallel wires, carrying (adjustable) current } I_1 \text{ and } I_2 \text{ are kept at a distance } d \text{ apart.}$ $\text{If the force } F \text{ between the two wires is taken as positive when the wires repel each other and negative when the wires attract each other, the graph showing the dependence of } F, \text{ on the product } I_1I_2 \text{ would be:}$

Options:

1. $\text{Graph with } F \text{ on the y-axis and } I_1I_2 \text{ on the x-axis, passing through the origin with positive slope}$
2. $\text{Graph with } F \text{ on the y-axis and } I_1I_2 \text{ on the x-axis, passing through the origin with negative slope}$
3. $\text{Graph with } F \text{ on the y-axis and } I_1I_2 \text{ on the x-axis, starting from a positive value on the y-axis}$
4. $\text{Graph with } F \text{ on the y-axis and } I_1I_2 \text{ on the x-axis, starting from a negative value on the y-axis}$

Solution:

$\text{Hint: } \frac{F}{l} = \left( \frac{\mu_0}{2\pi d} \right) I_1I_2$

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
}