Import Question JSON

Current Question (ID: 7330)

Question:

$\text{If the speed of light is } 3.0 \times 10^8 \text{ m s}^{-1}\text{, then the distance covered by light in 2.00 nanoseconds will be -}$

Options:

1. $0.500 \text{ m}$
2. $0.600 \text{ m}$
3. $0.700 \text{ m}$
4. $0.800 \text{ m}$

Solution:

$\text{HINT: Use the formula, that is, Distance traveled by light = Speed of light } \times \text{ Time taken}$ $\text{STEP 1: Write down the given information}$ $\text{Time is taken to cover the distance = 2.00 ns}$ $= 2.00 \times 10^{-9} \text{ s}$ $\text{Speed of light = } 3.0 \times 10^8 \text{ m/s}$ $\text{STEP 2: Calculate distance}$ $\text{Distance traveled by light in 2.00 ns}$ $= \text{Speed of light } \times \text{ Time taken}$ $= (3.0 \times 10^8 \text{ m/s}) (2.00 \times 10^{-9} \text{ s})$ $= 6.00 \times 10^{-1} \text{ m}$ $= 0.600 \text{ m}$

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
}