A tuning fork vibrates with frequency 256 Hz and gives one best per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound of air is 340 ms − 1

Question

A tuning fork vibrates with frequency 256 Hz and gives one best per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (Speed of sound of air is 340 ms − 1 )

TestHub · Accepted Answer

According to question, tuning fork gives 1 beat/second with (N) 3 rd normal mode. Therefore, organ pipe will have frequency ( 256 ± 1 ) Hz . In open organ pipe, frequency n = 2 ℓ NV ​ or, 255 = 2 × ℓ 3 × 340 ​ ⇒ ℓ = 2 m = 200 cm

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