For example, Standing Waves in a String Experiment, the following data was collected.
Plot a graph of n^2 Versus (4 L^2Ī¼)/T curve. It is noticed that the slope is equal to f^2, calculate the frequency f of the vibrator.
a) Sample string length L' (m) = 1 m
b) Sample string mass m (Kg) = 0.01 Kg
c) Linear mass density of the string Ī¼ = 0.01 Kg/m
No of loops | n^2 | Mass, M (Kg) | Length, L of the Vibrating String (m) | Tension T =Mg (Newton) | (4L^2Ī¼)/T (s^2)
1 | 1 | 0.4 | 1.5 | 3.92 | 0.0230
2 | 4 | 0.35 | 1.5 | 3.43 | 0.0262
3 | 9 | 0.285 | 1.5 | 2.793 | 0.0322
4 | 16 | 0.23 | 1.5 | 2.254 | 0.0399
5 | 25 | 0.185 | 1.5 | 1.813 | 0.0496
6 | 36 | 0.148 | 1.5 | 1.4504 | 0.0621
7 | 49 | 0.12 | 1.5 | 1.176 | 0.0765
0.03 Hz
None of these.
0.001 Hz
30 Hz
898 Hz
