Import Question JSON

Current Question (ID: 16522)

Question:

$\text{Work done to carry a negatively charged body in direction of the electric field:}$ $\text{(assuming no other force is acting on the body)}$

Options:

1. $\text{is always negative.}$
2. $\text{maybe negative.}$
3. $\text{is always positive.}$
4. $\text{maybe zero.}$

Solution:

$\text{Hint: } \vec{F} = q \vec{E}$ $\text{Step 1: Compare potential at various points}$ $\Delta U = q \Delta V$ $= -Q[V_B - V_A]$ $\text{Step 3: Find the work done.}$ $W = \Delta U = -Q[V_B - V_A] = Q[V_A - V_B] \Rightarrow +\text{ve}$

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
}