Import Question JSON

Current Question (ID: 20163)

Question:

$\text{There is a uniform electrostatic field in a region. The potential at various points on a small sphere centered at } P, \text{ in the region, is found to vary between the limits } 589.0 \text{ V to } 589.8 \text{ V.}$ $\text{What is the potential at a point on the sphere whose radius vector makes an angle of } 60^\circ \text{ with the direction of the field?}$

Options:

1. $589.5 \text{ V}$
2. $589.4 \text{ V}$
3. $589.2 \text{ V}$
4. $589.6 \text{ V}$

Solution:

$\text{Hint: } \Delta V = E \cdot d$

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
}