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Current Question (ID: 17384)

Question:

$\text{Given below are two statements:}$ $\text{Assertion (A):}$ \text{Large-scale transmission and distribution of electric energy over long distances are done by stepping the voltage up by a transformer.} $\text{Reason (R):}$ \text{This cuts down the loss of energy due to eddy currents.}$

Options:

1. $\text{Both (A) and (R) are True and (R) is the correct explanation of (A).}$
2. $\text{Both (A) and (R) are True but (R) is not the correct explanation of (A).}$
3. $\text{(A) is True but (R) is False.}$
4. $\text{Both (A) and (R) are False.}$

Solution:

$\text{Hint: } P = I^2 \times R$ $\text{Explanation: Let's analyze the two statements given:}$ $\text{Assertion (A): "Large-scale transmission and distribution of electric energy over long distances are done by stepping the voltage up by a transformer."}$ $\text{This statement is True. In electrical power systems, voltage is stepped up using transformers to reduce the current for long-distance transmission.}$ $\text{This helps in reducing the energy losses due to the resistance of the transmission lines } (I^2R \text{ losses}).$ $\text{Reason (R): "This cuts down the loss of energy due to eddy currents."}$ $\text{This statement is False. The loss of energy in power transmission lines is primarily due to resistive losses } (I^2R \text{ losses}), \text{ not eddy currents.}$ $\text{Eddy currents are induced in materials when they are exposed to a changing magnetic field, but they are more relevant in situations like transformers and motors, where magnetic fields cause such currents.}$ $\text{In the context of power transmission, the main loss mechanism is resistive, not due to eddy currents.}$ $\text{Therefore, Assertion (A) is true but Reason (R) is false.}$ $\text{Hence, option (3) is the correct answer.}$

Import JSON File

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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
}