Import Question JSON

Current Question (ID: 9859)

Question:

$\text{The work done by a person in carrying a box of mass 10 kg to a vertical height of 10 m is 4900 J. The mass of the person is:}$

Options:

1. $40 \text{ kg}$
2. $60 \text{ kg}$
3. $50 \text{ kg}$
4. $55 \text{ kg}$

Solution:

$\text{When a person carries a box to a height, the person does work against gravity for both the box and themselves.}$ $\text{Work done by the person} = \text{Work done on box} + \text{Work done on person}$ $\text{Work done on box} = m_{box} \times g \times h = 10 \times 10 \times 10 = 1000 \text{ J}$ $\text{Let the mass of the person be } m_p \text{ kg}$ $\text{Work done on person} = m_p \times g \times h = m_p \times 10 \times 10 = 100m_p \text{ J}$ $\text{Total work done} = 1000 + 100m_p = 4900 \text{ J}$ $100m_p = 4900 - 1000 = 3900$ $m_p = \frac{3900}{100} = 39 \text{ kg}$ $\text{Since 39 kg is closest to 40 kg among the given options, the final answer is 40 kg.}$

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
}