Import Question JSON

Current Question (ID: 8784)

Question:

$\text{A screw gauge has the least count of 0.01 mm and there are 50 divisions in its circular scale.}$ $\text{The pitch of the screw gauge is:}$

Options:

1. $0.25 \text{ mm}$
2. $0.5 \text{ mm}$
3. $1.0 \text{ mm}$
4. $0.01 \text{ mm}$

Solution:

$\text{Hint: Least count = pitch/(number of the divisions)}$ $\text{Step: Find the pitch of the screw gauge.}$ $\text{The least count of the screw gauge is given by;}$ $\text{Least count} = \frac{\text{pitch}}{\text{number of the divisions}}$ $\Rightarrow 0.01 = \frac{\text{Pitch}}{50}$ $\Rightarrow \text{Pitch} = 50 \times 0.01 = 0.5 \text{ mm}$ $\text{Hence, option (2) is the correct answer.}$

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
}