Import Question JSON

Current Question (ID: 8773)

Question:

$\text{What is the number of significant figures in } 0.310 \times 10^3?$

Options:

1. $2$
2. $3$
3. $4$
4. $6$

Solution:

$\text{Hint: Zero before the decimal place is insignificant.}$ $\text{Step: Find the number of significant figures.}$ $\text{In scientific notation, only the coefficient determines the number of significant figures, not the power of 10.}$ $\text{Analysis of 0.310:}$ $\text{- The leading zero before the decimal point is not significant}$ $\text{- The digit 3 is significant}$ $\text{- The digit 1 is significant}$ $\text{- The trailing zero after the decimal point and after non-zero digits is significant}$ $\text{The number of significant figures is 3 because } 10^3 \text{ is a decimal multiplier and does not affect the count.}$ $\text{Therefore, the number of significant figures in } 0.310 \times 10^3 \text{ is 3.}$ $\text{Hence, option (2) is the correct answer.}$

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
}