Import Question JSON

Current Question (ID: 10531)

Question:

$\text{The pans of a physical balance are in equilibrium. If Air is blown under the right-hand pan then the right-hand pan will:}$

Options:

1. $\text{move up}$
2. $\text{move down}$
3. $\text{move erratically}$
4. $\text{remain at the same level}$

Solution:

$\text{According to Bernoulli's theorem, when air is blown under the right-hand pan, the air velocity increases below the pan.}$ $\text{According to Bernoulli's principle, when the velocity of a fluid increases, the pressure decreases.}$ $\text{Therefore, the air pressure below the right-hand pan decreases, creating a pressure difference.}$ $\text{The atmospheric pressure above the pan becomes greater than the pressure below it, causing a net downward force.}$ $\text{This net downward force causes the right-hand pan to move down, disturbing the equilibrium.}$

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
}