Import Question JSON

Current Question (ID: 19598)

Question:

$\text{The pressures at the ends of a horizontal pipe are given for water.}$ $\text{The speed } v \text{ at end 2 if the speed at end 1 is } 10 \text{ m/s.}$ $\text{(density of water } = 1000 \text{ kg/m}^3).$ $\text{Then the speed } v \text{ (in m/s) is:}$

Options:

1. $22$
2. $33$
3. $11$
4. $55$

Solution:

$\text{Hint: } P_1 - P_2 = \frac{1}{2} \rho \left( v_2^2 - v_1^2 \right)$ $p_1 - p_2 = \frac{1}{2} \rho \left( v_2^2 - v_1^2 \right)$ $10.5 \times 10^3 = \frac{1}{2} \times 10^3 \left( v^2 - 10^2 \right)$ $21 + 100 = v^2 \Rightarrow v = 11 \text{ m/s}$

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
}