In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is $0.1\,m$. when this length is changed to $0.35\,m,$ the same tuning fork resonates with the first overtone. Calculate the end correction .... $m$
A$0.012$
B$0.025$
C$0.05$
D$0.024$
IIT 2003, Medium
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B$0.025$
b (b) Let $x$ be the end correction then according to question.
$\frac{v}{{4({l_1} + x)}} = \frac{{3v}}{{4({l_2} + x)}} \Rightarrow x = 2.5$$cm = 0.025$ $m$.
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