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Answer :
Final Answer:
If l₁ and l₂ are the length of the first and second resonating air columns in a resonance tube then the Ratio of l₁ to l₂ is 2 : 1. (Option B)
Explanation:
In a resonance tube, the length of the air columns (l₁ and l₂) determines the resonating frequencies. When the length of the first column (l₁) is compared to the length of the second column (l₂), it establishes a specific ratio. The correct ratio is given by option B - 2 : 1.
This ratio is based on the fundamental principle of sound waves and resonance in closed tubes. The frequency of a resonating column is inversely proportional to its length, meaning as the length increases, the frequency decreases. Therefore, if l₁ is the length of the first resonating column and l₂ is the length of the second resonating column, the correct relationship is 2 : 1, as indicated by option B.
This conclusion aligns with the physics of sound waves and the behavior of resonating columns in a tube. The established ratio serves as a fundamental concept in acoustics and wave mechanics, providing insights into the nature of sound propagation and resonance in different mediums.
(Option B)
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