question_answer

A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequencty of the air column is now :- [JEE Main Solved Paper-2016 ]

A) f             

B) \[\frac{f}{2}\]

C) \[\frac{3f}{4}\]                                 

D) 2f

Correct Answer: A

Solution :

                             \[\frac{\lambda }{2}=\ell \]                                         \[\frac{\lambda }{4}=\frac{\lambda \ell }{2}\] \[\]                         \[\] \[v=f\lambda \]                                                \[v=f\lambda \] \[\]                         \[\] \[\]