Import Question JSON

Current Question (ID: 9713)

Question:

$\text{In the diagram, a 100 kg block is moving up with constant velocity. Find out the tension at the point } P.$

Options:

1. $1330 \text{ N}$
2. $490 \text{ N}$
3. $1470 \text{ N}$
4. $980 \text{ N}$

Solution:

$\text{Hint: Net force on the block will be Zero.}$ $\text{Step 1: Draw the FBD}$ $\text{For the block:}$ $g = 9.8 \text{ ms}^{-2}$ $2T = 100g$ $T = 50g$ $\text{Step 2: For the pulley:}$ $T_1 = 3T$ $= 150g$ $= 150 \times 9.8$ $= 1470 \text{ N}$

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
}