Import Question JSON

Current Question (ID: 9826)

Question:

$\text{A person of mass 'm' ascends the stairs and goes up slowly through a height 'h'.}$ $\text{Then,}$

Options:

1. $\text{Work done by gravity is mgh}$
2. $\text{Work done by normal reaction is mgh}$
3. $\text{Work done by normal reaction is zero}$
4. $\text{Work done by gravity is stored as gravitational P.E.}$

Solution:

\text{Hint: Work done is given by } W = F \cdot S \text{Step 1: Find the work done by gravity} W = F \cdot S \text{Here, } F = mg \text{ and distance is } h \text{Therefore, work done: } W = -mgh \text{(negative sign indicates gravitational force is downward)} \text{Step 2: Work done by normal reaction} \text{Here, displacement } s = 0 \text{Therefore, work done: } W = 0 \text{Hence, option (3) 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
}