Import Question JSON

Current Question (ID: 7333)

Question:

$\text{The numbers 234,000 and 6.0012 can be represented in scientific notation as:}$

Options:

1. $2.34 \times 10^{-9} \text{ and } 6 \times 10^{3}$
2. $0.234 \times 10^{-6} \text{ and } 60012 \times 10^{-9}$
3. $2.34 \times 10^{-9} \text{ and } 6.0012 \times 10^{-9}$
4. $2.34 \times 10^{5} \text{ and } 6.0012 \times 10^{0}$

Solution:

$\text{Hint: In scientific notation, the number can be represented in the form } N \times 10^n\text{, n is an exponent having positive or negative values.}$ $\text{Scientific notation refers to expressing a number as a product of any number between 1 and 10 to the 10th power. Scientific notation is mostly used when dealing with large quantities or numbers containing many digits since it shortens the notation.}$ $\text{If decimal moves right to left then 10th power is positive and if decimal moves left to right then 10th power is negative.}$ $\text{The scientific notation of a given number is as follows:}$ $\text{234,000 and 6.0012 are } 2.34 \times 10^{5} \text{ and } 6.0012 \times 10^{0} \text{ respectively.}$

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
}