Import Question JSON

Current Question (ID: 16435)

Question:

$\text{Consider two charges, } +q \text{ and } -q \ (q > 0) \text{ placed at a distance } 2a \text{ from each other.}$ $\text{At the point } M \text{ (see figure below), the electric field makes an angle } \phi$ $\text{from the } x\text{-axis. The correct value of } \phi \text{ is:}$

Options:

1. $0^\circ$
2. $90^\circ$
3. $180^\circ$
4. $270^\circ$

Solution:

$\text{Hint: The angle between the dipole and field on the equatorial line is } 180^\circ.$ $\text{Step: Find the direction of the electric field at point } M.$ $\text{At the equatorial position, the direction of the electric field is opposite to the}$ $\text{direction of the electric dipole. So, the electric field would be parallel to the x-}$ $\text{axis and makes } 0^\circ \text{ with the x-axis.}$

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
}