MHT CET 2023 Physics question

PhysicsWavesMHT CET 2023

When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with 0.97 m length of sonometer wire and the other is in unison with 0.96 m length of the same wire. The frequencies of the two tuning forks are

Answer: (D)

Solution

For the same wire (same tension and mass per unit length) the frequency is inversely proportional to the vibrating length: . The shorter wire (0.96 m) has the higher frequency, so , i.e. , giving and

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Question ID VK-097844