A pipe open at both ends has length $1$ m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air $=340$ m/s)

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: Formula
$f=n\times170$ Hz.

Step 2: Check options
510 = 3 x 170, 340 = 2 x 170, 170 = 1 x 170.

Step 3: Result
85 Hz is half the fundamental, so it is not an allowed frequency.

Final Answer:
The frequency 85 Hz does not resonate. \[ \boxed{\text{(D) }85\ \text{Hz}} \]

A pipe open at both ends has length \(1\) m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air \(=340\) m/s)

Show Hint

The Correct Option is D

Solution and Explanation

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