Q. 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 $332\ m/s$)
A) $204\ cm/sec$
B) $110\ cm/sec$
C) $58\ cm/sec$
D) $80\ cm/sec$
Explanation
(d) Using $\lambda = 2\left( l_{2} - l_{1} \right) \Rightarrow v = 2n(l_{2} - l_{1})$
$\Rightarrow 2 \times 512(63.2 - 30.7) = 33280cm/s$
Actual speed of sound $v_{0} = 332m/s - 33200cm/s$
Hence error $= 33280 - 33200 = 80\ cm/sec$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.