Import Question JSON

Current Question (ID: 16880)

Question:

$\text{Two equal bar magnets are kept as shown in the figure. The direction of the resultant magnetic field, indicated by arrowhead at the point } P \text{ is: (approximately)}$

Options:

1. $\rightarrow$
2. $\nearrow$
3. $\swarrow$
4. $\uparrow$

Solution:

$\text{Hint: Magnetic field due to bar magnets.}$ $\text{Explanation: If the point } P \text{ is on the axial line (along the length of the magnet), the resultant field will be along the axis.}$ $\text{If the point } P \text{ is on the equatorial line (perpendicular to the magnet's length), the field will be perpendicular to the magnet's axis. If two bar magnets are attracting (N-S facing each other), their fields reinforce in between the magnets.}$ $\text{If two bar magnets are repelling (N-N or S-S facing each other), the fields cancel in between, but stronger field lines exist outside.}$ $\text{Therefore, the vector diagram shows the net direction of the field. Hence, option (2) is the correct answer.}$

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
}