Question

The water level in a vertical glass tube 1.00 m long can be adjusted to any position in the tube. A tuning fork vibrating at 653 Hz is held just over the open top end of the tube, to set up a standing wave of sound in the air-filled top portion of the tube. (That air-filled top portion acts as a tube with one end closed and the other end open.) Take the speed of sound to be 343 m/s. (a) For how many different positions of the water level will sound from the fork set up resonance in the tube’s air-filled portion

Answer 1

4

Step-by-step explanation:

Given that length of tube,L=1 m

Frequency ,f=653 Hz

We know that

V= f λ

4 L = nλ

So we can say that

`L_n=(nV)/(4f)`

Where n is the odd number .

Here V=343 m/s

a)

For n=1:

`L_1=(343)/(4* 653)`

`L_1=0.13\ m`

For n=3:

`L_3=(3* 343)/(4* 653)`

`L_3=0.39`

For n=5:

`L_5=(5* 343)/(4* 653)`

`L_5=0.65`

For n=7:

`L_7=(7* 343)/(4* 653)`

`L_7=0.91`

So total positions will be 4.