In which one of the following situations, the entropy may be maximum?

(1) A class full of students without the teacher being present

(2) A class full of students with teacher being present >

(3) A class full, of students answering an annual examination monitored by video camera x

(4) An empty class room x


Correct Answer:

(1) A class full of students without the teacher being present


Explanation (Understanding Entropy):

Entropy (S) is a measure of disorder or randomness in a system. Higher entropy means greater disorder, while lower entropy indicates a more organized system.

Now, let’s analyze each situation:

  1. A class full of students without the teacher being present
    • Highest entropy because students are likely to move around, talk, and behave unpredictably.
    • The absence of the teacher removes discipline, leading to maximum disorder.
  2. A class full of students with the teacher being present
    • Lower entropy compared to option 1 because students are more likely to stay quiet and follow instructions.
    • The teacher enforces rules, leading to more order.
  3. A class full of students answering an annual examination monitored by a video camera
    • Very low entropy because students are forced to sit silently and focus on their exam.
    • The video camera further ensures discipline and order.
  4. An empty classroom
    • Very low entropy because there are no students to create disorder.
    • Everything remains in a stable and predictable state.

Final Conclusion:

Since entropy is highest when there is maximum randomness and disorder, the correct answer is (1): A class full of students without the teacher being present.

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