MHT CET 2022 Physics question

PhysicsWavesMHT CET 2022

When tension 'T' is applied to a sonometer wire of length '' it vibrates with the fundamental frequency 'n'. Keeping the setup same, when the tension is increased by 8N, the fundamental frequency becomes three times the earlier. The initial tension applied to the wire was

Answer: (B)

Solution

Fundamental frequency of a stretched wire: , so for fixed length and wire. With : . But , so $9T = T + 8

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Question ID VK-093619