MHT CET 2025 Physics question

PhysicsWavesMHT CET 2025

The frequency of a stretched uniform wire of length L under tension is in resonance with the fundamental frequency of a closed pipe of same length. If the tension in the wire is increased by 8 N, it is in resonance with the first overtone of the same closed pipe. The initial tension in the wire is

Answer: (D)

Solution

The fundamental frequency of the wire is . A closed pipe of length has fundamental and first overtone . Initially ; after increasing the tension it equals . Thus

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Question ID VK-101145