Import Question JSON

Current Question (ID: 17298)

Question:

$\text{In the circuit shown in the figure, neglecting source resistance, the voltmeter and ammeter reading respectively will be:}$

Options:

1. $0 \text{ V, } 3 \text{ A}$
2. $150 \text{ V, } 3 \text{ A}$
3. $150 \text{ V, } 6 \text{ A}$
4. $0 \text{ V, } 8 \text{ A}$

Solution:

$\text{(4) The voltage } V_L \text{ and } V_C \text{ are equal and opposite so voltmeter reading will be zero.}$ $\text{Also } R = 30 \, \Omega, \; X_L = X_C = 25 \, \Omega$ $\text{So } i = \frac{V}{\sqrt{R^2 + (X_L - X_C)^2}} = \frac{V}{R} = \frac{240}{30} = 8 \, \text{A}$

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
}