A) \[2\,\,f\]
B) \[f\]
C) \[\frac{3f}{4}\]
D) \[\frac{f}{2}\]
Correct Answer: B
Solution :
Key Idea: When tube is dipped in water its acts like a closed end tube. Frequency of fundamental tone is a cylindrical pipe open at both ends is \[f=\frac{v}{2l}\] ?(1) Where v is velocity of sound and \[l\] is length of pipe. When half the length is dipped, it acts like a closed end tube, with fundamental frequency \[f'=\frac{v}{4l'}\] Given, \[l'=\frac{l}{2}\] \[\therefore \] \[f'=\frac{v}{4\left( \frac{l}{2} \right)}\] ?(2) Comparing Eqs. (1) and (2). We get \[f'=f\] Therefore, the fundamental frequency of air column is same as that for open one.You need to login to perform this action.
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