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Current Question (ID: 20494)

Question:

$\text{A small bar magnet is moved through a coil at constant speed from one end to the other.}$ $\text{Which of the following series of observations will be seen on the galvanometer } G \text{ attached across the coil?}$

Options:

1. $(a) \uparrow \rightarrow (b) \uparrow \rightarrow (c) \uparrow$
2. $(a) \nearrow \rightarrow (b) \uparrow \rightarrow (c) \nwarrow$
3. $(a) \uparrow \rightarrow (b) \uparrow \rightarrow (c) \nwarrow$
4. $(a) \uparrow \rightarrow (b) \downarrow \rightarrow (c) \nearrow$

Solution:

$\text{Hint: The Galvanometer will deflect when there is a change in flux.}$ $\text{When bar magnet is entering with constant speed, flux will change and an e.m.f. is induced,}$ $\text{so the galvanometer will deflect in positive direction.}$ $\text{When magnet is completely inside, flux will not change, so reading of galvanometer will be zero.}$ $\text{When bar magnet is making on exit, again flux will change and an e.m.f. is induced in opposite direction}$ $\text{to not of (a), so galvanometer will deflect in negative direction.}$ $\text{Looking at options, option (2) is correct.}$

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
}