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Current Question (ID: 20398)

Question:

$\text{A galvanometer with its coil resistance } 25 \, \Omega \text{ requires a current of } 1 \, \text{mA for its full deflection.}$ $\text{In order to construct an ammeter to read up to a current of } 2 \, \text{A, the approximate value of the shunt resistance should be:}$

Options:

1. $1.25 \times 10^{-2} \, \Omega$
2. $2.5 \times 10^{-3} \, \Omega$
3. $2.5 \times 10^{-2} \, \Omega$
4. $1.25 \times 10^{-3} \, \Omega$

Solution:

$\text{Hint: } I_g R_g = (I - I_g) S$

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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
}