wave_mechanics critical_thinking Question 7

Question: 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

[IIT-JEE (Screening) 2003]

Options:

A) 0.012m

B) 0.025m

C) 0.05m

D) 0.024m

Show Answer

Answer:

Correct Answer: B

Solution:

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 $ .