MHT CET 2023 Physics question

PhysicsWavesMHT CET 2023

When a string of length '' is divided into three segments of length and . The fundamental frequencies of three segments are , and respectively. The original fundamental frequency 'n' of the string is

Answer: (C)

Solution

The fundamental frequency of a stretched string is , where is the tension and the mass per unit length. When the string is cut into segments under the same tension, and are unchanged, so , i.e. .

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Question ID VK-094699