Import Question JSON

Current Question (ID: 17003)

Question:

$\text{Two identical conductors } P \text{ and } Q \text{ are placed on two frictionless (conducting) rails } R \text{ and } S \text{ in a uniform magnetic field directed into the plane. If } P \text{ is moved in the direction as shown in the figure with a constant speed, then rod } Q:$

Options:

1. $\text{will be attracted toward } P.$
2. $\text{will be repelled away from } P.$
3. $\text{will remain stationary.}$
4. $\text{maybe repelled or attracted towards } P.$

Solution:

$\text{Hint: Recall the force on a current-carrying conductor}$ $\text{Step 1: Find the change in flux linked with rectangle ACDE}$ $\text{Here, inward flux increases}$ $\text{Step 2: Use Lenz's law to determine the direction of induced current}$ $\text{Step 3: Find the force on the current-carrying conductor CD}$ $\vec{F} = i \left( \vec{l} \times \vec{B} \right)$

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
}