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Current Question (ID: 20548)

Question:

$\text{Match List I with List II.}$ $\text{List I:}$ \begin{array}{ll} \text{(A)} & \text{AC generator} \\ \text{(B)} & \text{Galvanometer} \\ \text{(C)} & \text{Transformer} \\ \text{(D)} & \text{Metal detector} \end{array}$ $\text{List II:}$ \begin{array}{ll} \text{(I)} & \text{detects the presence of current in the circuit} \\ \text{(II)} & \text{converts mechanical energy into electrical energy} \\ \text{(III)} & \text{works on the principle of resonance in AC circuits} \\ \text{(IV)} & \text{changes an alternating voltage for a smaller or greater value} \end{array}$ $\text{Choose the correct answer from the options given below:}$

Options:

1. (A) - (II), \text{ } (B) - (I), \text{ } (C) - (IV), \text{ } (D) - (III)
2. (A) - (II), \text{ } (B) - (I), \text{ } (C) - (III), \text{ } (D) - (IV)
3. (A) - (III), \text{ } (B) - (IV), \text{ } (C) - (II), \text{ } (D) - (I)
4. (A) - (III), \text{ } (B) - (I), \text{ } (C) - (II), \text{ } (D) - (IV)

Solution:

$\text{Hint: Recall the application of given devices.}$ $\text{Explanation: Identify the uses and working principles of given devices.}$ $\text{(A) An AC generator converts mechanical energy into electrical energy, specifically alternating current (AC).}$ $\text{In a generator, mechanical energy is the input and electric energy is the output.}$ $\text{(B) The galvanometer can be used in a number of ways. It can be used as a detector to check if a current is flowing in the circuit.}$ $\text{A galvanometer is an instrument that detects the presence of current in a circuit.}$ $\text{(C) For many purposes, it is necessary to change (or transform) an alternating voltage from one to another of greater or smaller value.}$ $\text{A transformer is used to change an alternating voltage to a smaller or greater value.}$ $\text{This is done with a device called a transformer using the principle of mutual induction.}$ $\text{(D) A metal detector works on the principle of resonance in AC circuits to detect metals.}$ $\text{Therefore, the correct match is: (A)-(II), (B-I), (C)-(IV), (D)-(III).}$ $\text{Hence, option (1) is the correct answer.}$

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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
}