Accuracy of Resonance Lab Experiment

[kamalholly]

Homework Statement

Hi! We did a resonance lab using a closed air cloumn and 3 different tuning forks, each with different column lengths and i collected the data as follows:
frequency(hz) column length(m) # of wavelengths wavelength(m) speed of sound air temp
384 0.231 1/4 0.924 355 39
384 0.66 3/4 0.880 338 10
512 0.157 1/4 0.628 322 -17
512 0.476 3/4 0.635 325 -12
1024 0.082 1/4 0.328 336 6.8
1024 0.24 3/4 0.320 328 -6.8

I calculated the wavelength by using the formula : column length/# of wavelengths and then i calculated the speed of sound in each circumstances above by using formula : v=frequency*lambda(wavelength) and finally I calculated the temperature for each of circumstances by sing the formula: v= 332+0.59T(T= temperature).For example, for the first row, I calculated v = 355 m/s. Then I put that valuein the equation v= 332+0.59T and got value of T.
Then my teacher asked my to find the average air temperature and I added all the temperatures and divided them by 6 and I got my answer 3.3 degree celsius(Its inaccurate because of some errors happening).
4.a) Then i determined the difference between actual air temperature and experimental temperature. I got (25-3.3) = 21.7 * Notice that the rrom temp when we did lab was 25 C
b) Next, I had to determine the % error
% error = |3.3-25|/25 *100 = 87%.
5.) Which of the tow error values calculated in qestion4 gives better indication of the accuracy of the experiment? explain your reasoning.(Hint: Consider what would happen in each calcluation if the temperature was 0 C).
6.) For the frequency used in the first row of your table, determine...
a) the 3rd cloumn length that gives a standing wave.
b) the 100 th column length that gives a standing wave

Some one please help me with questions 5 and 6. Thank you!

Homework Equations

The Attempt at a Solution

 

[Fewmet]

Homework Statement

4.a) Then i determined the difference between actual air temperature and experimental temperature. I got (25-3.3) = 21.7 * Notice that the rrom temp when we did lab was 25 C
b) Next, I had to determine the % error
% error = |3.3-25|/25 *100 = 87%.
5.) Which of the tow error values calculated in qestion4 gives better indication of the accuracy of the experiment? explain your reasoning.(Hint: Consider what would happen in each calcluation if the temperature was 0 C).
6.) For the frequency used in the first row of your table, determine...
a) the 3rd cloumn length that gives a standing wave.
b) the 100 th column length that gives a standing wave

Some one please help me with questions 5 and 6. Thank you!

For part 5, I think the hint about T=0 is valuable. Try running each of those calculations in part 4 with that value. You'll see that one of them becomes impossible.

About part 6: Did you determine that the second resonance was to 3/4 wavelengths, or was that given to you?