Import Question JSON

Current Question (ID: 20604)

Question:

$\text{Given below are two statements:}$ $\text{Statement I - In an LCR series circuit, current is maximum at resonance.}$ $\text{Statement II - Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to some voltage source.}$ $\text{In the light of the above statements, choose the correct from the options given below:}$

Options:

1. $\text{Statement I is true but Statement II is false}$
2. $\text{Statement I is false but Statement II is true}$
3. $\text{Both Statement I and Statement II are false}$
4. $\text{Both Statement I and Statement II are true}$

Solution:

$\text{Statement I is true because in an LCR series circuit, the current is maximum at resonance due to impedance being minimum.}$ $\text{Statement II is false because in a purely resistive circuit, the current can be less than that in a series LCR circuit depending on the impedance.}$

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
}