Import Question JSON

Current Question (ID: 16507)

Question:

$\text{A cube of a metal is given a positive charge } Q. \text{ For the above system, which of the following statements is true?}$

Options:

1. $\text{The electric potential at the surface of the cube is zero.}$
2. $\text{The electric potential within the cube is zero.}$
3. $\text{The electric field is normal to the surface of the cube.}$
4. $\text{The electric field varies within the cube.}$

Solution:

$\text{Hint: The electric lines of force are always normal to metallic bodies.}$ $\text{Explanation: In a conductor, charges reside on the surface, and the electric field inside a conductor is zero in electrostatic equilibrium.}$ $\text{The electric potential across the surface of the conductor is constant (not zero, just constant), and the electric field is always perpendicular (normal) to the surface of the conductor.}$ $\text{Hence, option (3) is the correct answer.}$

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
}