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Current Question (ID: 16848)

Question:

$\text{The current sensitivity of a galvanometer can be increased by:}$ $\text{A. decreasing the number of turns.}$ $\text{B. increasing the magnetic field.}$ $\text{C. decreasing the area of the coil.}$ $\text{D. decreasing the torsional constant of the spring.}$ $\text{Choose the most appropriate answer from the options given below:}$

Options:

1. $(\text{B}) \text{ and } (\text{C}) \text{ only}$
2. $(\text{C}) \text{ and } (\text{D}) \text{ only}$
3. $(\text{A}) \text{ and } (\text{C}) \text{ only}$
4. $(\text{B}) \text{ and } (\text{D}) \text{ only}$

Solution:

$\text{The current sensitivity of a galvanometer is given by } S = \frac{nBA}{k} \text{, where } n \text{ is the number of turns, } B \text{ is the magnetic field, } A \text{ is the area of the coil, and } k \text{ is the torsional constant.}$ $\text{To increase sensitivity, } B \text{ should be increased and } k \text{ should be decreased.}$

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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
}