Import Question JSON

Current Question (ID: 18996)

Question:

$\text{Mark the option correctly matching the following columns with appropriate dimensions.}$ $\begin{array}{|c|c|} \hline \text{Column I} & \text{Column II} \\ \hline \text{(A) Surface Tension} & \text{(P)} \ [ML^{-1}T^{-2}] \\ \text{(B) Pressure} & \text{(Q)} \ [MT^{-2}] \\ \text{(C) Viscosity} & \text{(R)} \ [MLT^{-1}] \\ \text{(D) Impulse} & \text{(S)} \ [ML^{-1}T^{-1}] \\ \hline \end{array}$

Options:

1. $\text{A - Q, B - P, C - R, D - S}$
2. $\text{A - Q, B - P, C - S, D - R}$
3. $\text{A - S, B - Q, C - P, D - R}$
4. $\text{A - R, B - P, C - Q, D - S}$

Solution:

$\text{Surface Tension has dimensions } [ML^{-1}T^{-2}] \text{, matching with (P).}$ $\text{Pressure has dimensions } [ML^{-1}T^{-2}] \text{, matching with (P).}$ $\text{Viscosity has dimensions } [ML^{-1}T^{-1}] \text{, matching with (S).}$ $\text{Impulse has dimensions } [MLT^{-1}] \text{, matching with (R).}$

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
}