NEET 2011 Physics question

PhysicsWavesNEET 2011

Two identical piano wires kept under the same tension have a fundamental frequency of . The fractional increase in the tension of one of the wires which will lead to occurrence of beats/s when both the wires oscillate together would be :

Answer: (1)

Solution

For the fundamental mode of a stretched wire, , with and unchanged for identical wires. Taking logarithms and differentiating, , so $ =

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Question ID VK-090745