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Current Question (ID: 20499)

Question:

$\text{Figure shows a circuit that contains four identical resistors with resistance } R = 2.0 \, \Omega, \text{ two identical inductors with inductance } L = 2.0 \, \text{mH and an ideal battery with emf } E = 9 \, \text{V. The current } 'i' \text{ just after the switch 's' is closed will be:}$

Options:

1. $2.25 \, \text{A}$
2. $3.0 \, \text{A}$
3. $3.37 \, \text{A}$
4. $9 \, \text{A}$

Solution:

$\text{Hint: Just after the switch is closed, the inductor will behave like infinite resistance (open circuit).}$ $\text{Option (1) is correct.}$ $i = \frac{9}{R+R} = \frac{9}{4} = 2.25$

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
}