wave_mechanics organ_pipe_vibration_of_air_column Question 48

Question: If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s) [IIT-JEE (Screening) 2005

Options:

A) 204 cm/sec

B) 110 cm/sec

C) 58 cm/sec

D) 80 cm/sec

Show Answer

Answer:

Correct Answer: D

Solution:

Using $ \lambda =2(l _{2}-l _{1}) $

Therefore $ v=2n(l _{2}-l _{1}) $

Therefore $ 2\times 512(63.2-30.7)=33280cm/s $ Actual speed of sound $ v _{0}=332m/s=33200cm/s $ Hence error $ =33280-33200=80cm/s $