Import Question JSON

Current Question (ID: 20380)

Question:

$\text{In a long solenoid the magnetic field intensity inside the solenoid is equal to } 1.6 \times 10^{-3} \text{ T.}$ $\text{If number of turns per unit length on the solenoid is equal to } \frac{8}{\pi} \text{ per cm then current flowing in the solenoid is equal to:}$

Options:

1. $5 \text{ A}$
2. $2.5 \text{ A}$
3. $7 \text{ A}$
4. $10 \text{ A}$

Solution:

$\text{Hint: } B = \mu_0 n I$ $B = \mu_0 n I$ $I = \frac{1.6 \times 10^{-3} \times 10^7 \times \pi}{800 \times 4\pi}$ $= \frac{160}{32} = 5 \text{ Amperes}$

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
}