Import Question JSON

Current Question (ID: 20536)

Question:

$\text{In the given circuits } (a) \text{ and } (b) \text{ switches } S_1 \text{ and } S_2 \text{ are closed at } t = 0 \text{ and are kept closed for a long time.}$ $\text{The variation of currents in the two circuits for } t \geq 0 \text{ are roughly shown by (figures are schematic and not drawn to scale):}$

Options:

1. $\text{Graph 1: } (b) \text{ decreases, } (a) \text{ increases}$
2. $\text{Graph 2: } (b) \text{ increases, } (a) \text{ decreases}$
3. $\text{Graph 3: } (a) \text{ increases, } (b) \text{ decreases}$
4. $\text{Graph 4: } (a) \text{ decreases, } (b) \text{ increases}$

Solution:

$\text{Hint: } \dot{i} = i_0 e^{-t/RC}$

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
}