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Answer :
Final answer:
The student's question is related to the natural length of a metal wire that changes with different tensions, and involves concepts from Physics such as Hooke's Law and material elongation. Therefore option (C) l₁ T₂ − l₂T₁ / T₂ −T₁ is the correct answer
Explanation:
The question pertains to the concept of material properties under different tensions in Physics, specifically related to Hooke's Law and elongation of materials. It aims to determine the natural length of a metal wire, which changes length when subjected to different tensions. According to Hooke's Law, the change in length (ΔL) is proportional to the applied force (F), original length (L0), and inversely proportional to the wire's cross-sectional area.
However, without the exact specifics of the formulation of the relationship between tension and length, it's challenging to provide an exact formula for the natural length. Generally, the natural length of the wire would be less than any length observed under tension, since the tension would cause elongation. Therefore, the answer would need to incorporate the different lengths and tensions provided to backtrack to the natural, untensioned length of the wire.
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