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 )

Step-by-step solution

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 = NV 2 or, 255= 3 340 2 =2 ~m =200 ~cm