Import Question JSON

Current Question (ID: 16409)

Question:

$\text{If a soap bubble is given some charge, then its radius:}$

Options:

1. $\text{increases.}$
2. $\text{decreases.}$
3. $\text{remains unchanged.}$
4. $\text{may increase or decrease depending upon whether the given charge is positive or negative.}$

Solution:

$\text{The electrostatic force is more than the surface tension}$ $\text{Initially, if we see a half neutral bubble,}$ $\text{So, in equilibrium,}$ \ (P_{\text{in}})A = (P_{\text{out}})A + (4\pi)S \ $\text{If we give charge to this bubble:}$ $\text{If we consider only half the bubble, the net electric force is vertically downward.}$ $\text{Since } (F_{\text{electric}})_{\text{net}} > F_{T}, \text{ the bubble expands.}$

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
}