MHT CET 2023 Physics question

PhysicsWavesMHT CET 2023

A tuning fork gives 3 beats with 50 cm length of sonometer wire. If the length of the wire is shortened by 1 cm, the number of beats is still the same. The frequency of the fork is

Answer: (C)

Solution

The frequency of a wire is inversely proportional to its length, . At 50 cm the wire has frequency ; shortening to 49 cm raises it to . The beats stay 3, so the fork frequency lies between them: and , giving

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Question ID VK-097242