Import Question JSON

Current Question (ID: 20041)

Question:

$\text{Consider the following statements:}$ $\text{Statement I: A point charge is brought in an electric field. The value of the electric field at a point near the charge may increase if the charge is positive.}$ $\text{Statement II: An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.}$

Options:

1. $\text{Both Statement I and Statement II are True.}$
2. $\text{Both Statement I and Statement II are False.}$
3. $\text{Statement I is True but Statement II is False.}$
4. $\text{Statement I is False but Statement II is True.}$

Solution:

$\text{Hint: Electric field may increase near to positive charge in an electric field.}$ $\text{If the electric field is in the positive direction and the positive charge is to the left of that point then the electric field will increase.}$ $\text{But to the left of the positive charge the electric field would decrease.}$ $\text{If the dipole is kept at the point where the electric field is maximum then the force on it will be zero.}$

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
}