Import Question JSON

Current Question (ID: 20603)

Question:

$\text{Match List-I with List-II}$ $\text{List-I}$ \quad \text{List-II}$ $\text{A. Purely capacitive circuit}$ \quad \text{I.} \quad \text{I} \perp \text{V}$ $\text{B. Purely inductive circuit}$ \quad \text{II.} \quad \text{I} \parallel \text{V}$ $\text{C. LCR series at resonance}$ \quad \text{III.} \quad \text{V} \text{ at angle } \theta \text{ with I}$ $\text{D. LCR series circuit}$ \quad \text{IV.} \quad \text{V} \perp \text{I}$ $\text{Choose the correct answer from the options given below:}$

Options:

1. $\text{A-IV, B-I, C-II, D-III}$
2. $\text{A-I, B-IV, C-III, D-II}$
3. $\text{A-I, B-IV, C-II, D-III}$
4. $\text{A-IV, B-I, C-III, D-II}$

Solution:

$\text{In a purely capacitive circuit, current leads voltage by } 90^\circ \text{, so A matches with IV.}$ $\text{In a purely inductive circuit, voltage leads current by } 90^\circ \text{, so B matches with I.}$ $\text{At resonance in an LCR circuit, voltage and current are in phase, so C matches with II.}$ $\text{In a general LCR series circuit, voltage and current are not in phase, so D matches with III.}$

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
}