Import Question JSON

Current Question (ID: 20484)

Question:

$\text{In the circuit shown here, the point } C \text{ is kept connected to point } A \text{ till the current flowing through the circuit becomes constant.}$ $\text{Afterward, suddenly, point } C \text{ is disconnected from point } A \text{ and connected to point } B \text{ at time } t = 0.}$ $\text{The ratio of the voltage across resistance and the inductor at } t = \frac{L}{R} \text{ will be equal to:}$

Options:

1. $1$
2. $\frac{-1}{1-e}$
3. $\frac{e}{e}$
4. $\frac{e}{1-e}$

Solution:

$\text{Hint: Apply voltage Kirchhoff's law.}$ $V_L + V_R = 0 \text{ (By Kirchhoff's law)}$ $\frac{V_R}{V_L} = -1$

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
}