Import Question JSON

Current Question (ID: 17039)

Question:

$\text{The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance is } 10 \, \Omega. \text{ The current in the circuit will be:}$

Options:

1. $i = 0.5 \, \text{A}$
2. $i > 0.5 \, \text{A}$
3. $i < 0.5 \, \text{A}$
4. $i = 0$

Solution:

$\text{(2) If resistance is constant (} 10 \, \Omega \text{) then steady current in the circuit } i = \frac{5}{10} = 0.5 \, \text{A.}$ $\text{But resistance is increasing it means current through the circuit start decreasing.}$ $\text{Hence inductance comes in the picture which induces a current in the circuit in the same direction of the main current.}$ $\text{So, } i > 0.5 \, \text{A.}$

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
}