Import Question JSON

Current Question (ID: 20450)

Question:

$\text{If the current } 200 \, \mu\text{A deflects the coil of the moving coil galvanometer through } 60^\circ, \text{ then the current required to cause deflection through } \frac{\pi}{10} \text{ radians is:}$

Options:

1. $60 \, \mu\text{A}$
2. $50 \, \mu\text{A}$
3. $20 \, \mu\text{A}$
4. $150 \, \mu\text{A}$

Solution:

$\text{Hint: } \phi = \left( \frac{NAB}{K} \right) I$ $i \propto \theta$ $\frac{i_1}{i_2} = \frac{\theta_1}{\theta_2}$ $\frac{200 \, \mu\text{A}}{i} = \frac{\pi/3}{\pi/10}$ $i = \frac{200 \times 3}{10} \, \mu\text{A}$ $= 60 \, \mu\text{A}$

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
}