Q. In the experiment for the determination of the speed of sound in air using the resonance column the resonates in the fundamental mode, with a tuning fork is 0.1m. When this length is changed to 0.35m, the same tuning fork resonates with the first overtone. Calculate the end correction.
A) 0.012 m
B) 0.025 m
C) 0.05 m
D) 0.024 m
Explanation
(b) Let $\mathrm{\Delta}l$be the end correction. Given that,
Fundamental tone for a length 0.1m=first overtone for the length 0.35m
$\therefore\frac{v}{4(0.1 + \mathrm{\Delta}l)} = \frac{3v}{4(0.35 + \mathrm{\Delta}l)}$
Solving this equations we get $\mathrm{\Delta}l$=0.025m=2.5 cm
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.