Import Question JSON

Current Question (ID: 16842)

Question:

$\text{When will the current sensitivity of a moving coil galvanometer be high?}$ $\left( N = \text{number of turns}, B = \text{magnetic field}, A = \text{area of coil, and } C = \text{Torsional constant of spring} \right)$

Options:

1. $N \text{ is small}$
2. $B \text{ is small}$
3. $A \text{ is small}$
4. $C \text{ is small}$

Solution:

$\text{Hint: The current sensitivity is equal to the deflection per unit current}$ $\text{Step: Write the torque balance equation for the galvanometer.}$ $\text{The torque balance equation for the galvanometer is given by:}$ $\tau = NiAB = C\theta$ $\text{The current sensitivity } = \frac{\theta}{i} = \frac{NAB}{C}$ $\text{The current sensitivity of a moving coil galvanometer is high when the value of the torsional constant of the spring is small.}$ $\text{Hence, option (4) is the correct answer.}$

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
}