JEE Main 2024 Physics question
A tuning fork resonates with a sonometer wire of length 1 m stretched with a tension of 6 N. When the tension in the wire is changed to 54 N, the same tuning fork produces 12 beats per second with it. The frequency of the tuning fork is Hz.
Answer: 6
Solution
f ∝ √T, so the wire's frequency triples to 3f; 3f − f = 12 ⇒ f = 6 Hz.