When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

Question

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in water drum to half of its length. The fundamental frequency of the air column is now equal to:

Answer 1

Step 1: Harmonics
Closed pipe frequencies: $\frac{v}{4L}\times1,3,5,7$. Open pipe: $\frac v{2L}\times1,2,3$.

Step 2: Use v/4L = f
Third overtone of closed $=7f$. Second overtone of open $=6f$. Their difference is $f = 150$, so the open pipe fundamental is $2f = 300$ Hz. Option (D).

Final Answer:
300 Hz. \[ \boxed{\text{(D)}\ 300\ \text{Hz}} \]

When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

Show Hint

The Correct Option is D

Solution and Explanation

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