four choices have been provided. Select the correct alternative. P In a resonating air column me...
0four choices have been
provided. Select the correct alternative.
P
In a resonating air column method, the first and
W second resonating lengths of the air columns are \( 16 \mathrm{~cm} \) and \( 48 \mathrm{~cm} \), respectively. If the frequency of a tuning fork used is \( 500 \mathrm{~Hz} \), arrange the following steps in a sequential order to find the velocity of sound in air.
(A) Find the first and second resonating lengths of the air columns and frequency of the tuning fork from the given problem.
(B) The difference of lengths of two resonating air columns is, \( \ell_{2}-\ell_{1}=\lambda / 2 \) and \( \lambda=2\left(\ell_{2}\right. \) \( -\ell_{1} \) ).
(C) Find the first and second resonating lengths \( \ell_{1} \) and \( \ell_{2} \) in terms of \( \lambda \) , i.e., \( \ell_{1}=\frac{\lambda}{4} \) and \( \ell_{2}=3 \lambda / 4 \).
(D) The velocity of sound, \( V=n \lambda=2 n\left(\ell_{2}-\right. \) \( \left.\ell_{1}\right) \). Substitute the corresponding values and obtain the value of \( V \) .
(a) ACBD
(b) \( \mathrm{ABCD} \)
(c) DCBA
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