Import Question JSON

Current Question (ID: 16874)

Question:

$\text{A bar magnet of the magnetic moment } M \text{ is placed at right angles to a magnetic induction } B. \text{ If a force } F \text{ is experienced by each pole of the magnet, the length of the magnet will be:}$

Options:

1. $\frac{MB}{F}$
2. $\frac{BF}{M}$
3. $\frac{MF}{B}$
4. $\frac{F}{MB}$

Solution:

$\text{Hint: } F = m \times B$ $\text{Step 1: Find the pole strength of the bar magnet.}$ $\text{The pole strength of the bar magnet is given by:}$ $M = m \times l$ $\Rightarrow m = \frac{M}{l}$ $\text{Step 2: Find the length of the bar magnet.}$ $F = m \times B$ $F = \frac{M}{l} \times B$ $\Rightarrow l = \frac{MB}{F}$ $\text{Hence, option (1) is the correct answer.}$

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
}