Question

In the Resonance Tube experiment, if "n" is the frequency of vibration of air column and "L" is the resonating length then
a) L is directly proportional to n
b) L is inversely proportional to n

Answer 1

L is directly proportional to n

Answer 2

Given:

In the Resonance Tube experiment, if "n" is the frequency of vibration of air column and "L" is the resonating length.

To find:

Relation between n and L

Calculation:

Let's consider an one side open tube in which the experiment is being conducted.

So, general expression of length at which resonance will occur will be :

$L = \dfrac{(2x + 1) \lambda}{4}$

$\implies \lambda = \dfrac{4L}{2x + 1}$

Now, frequency will be :

$\therefore \: n = \dfrac{v}{ \lambda}$

$\implies \: n \propto \dfrac{1}{L}$

OPTION b) Is correct !