Import Question JSON

Current Question (ID: 10484)

Question:

$\text{An ideal fluid is flowing in a steady-state from section A to B through a pipe in a vertical plane as shown. Select the incorrect statement.}$

Options:

1. $\text{Total energy per unit volume is the same at both sections A and B.}$
2. $\text{The incoming flow rate at A is equal to the outgoing flow rate at B.}$
3. $\text{Loss in kinetic energy of the fluid is equal to gain in potential energy from section A to section B.}$
4. $\text{The flow of fluid from A to B is laminar flow.}$

Solution:

$\text{Hint: Apply Bernoulli's theorem.}$ $\text{Step 1:}$ $\text{In an ideal fluid, there is no loss of energy.}$ $\text{Step 2:}$ $\text{Apply Bernoulli's theorem,}$ $P + \frac{1}{2}\rho v^2 + \rho gh = K$ $\text{Hence, the flow is laminar.}$

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
}