Import Question JSON

Current Question (ID: 19612)

Question:

$\text{The excess pressure inside a soap bubble of radius } R \text{ and surface tension } T \text{ is:}$

Options:

1. $\frac{T}{R}$
2. $\frac{2T}{R}$
3. $\frac{3T}{R}$
4. $\frac{4T}{R}$

Solution:

$\text{Hint: The excess pressure inside a soap bubble is two times the excess pressure inside a liquid drop.}$ $\text{Explanation: In a drop, there is only one liquid surface that is outside the drop. Inside the drop, there is only liquid. In a soap bubble, two liquid surfaces are one outside bubble and one inside bubble. So the excess pressure doubles than the excess pressure inside the liquid drops.}$ $\text{The excess pressure inside a soap bubble is given by:}$ $\left( \Delta P \right)_{\text{soap bubble}} = \left( \frac{4T}{R} \right)$ $\text{Hence, option (4) is the correct answer.}$

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
}