[填空题]
1.A student investigates standisjxrt;hc6* y +ng waves /xk1 3ol:f1 3fja7uv63qpcwuz6 c f ssn.pp.uin strings. A string is connected to an w.ks/pv1uf6z76 ns 3o.pfu3u13c aq xcljp:foscillator where a function generator can adjust the frequency. The other end of the string passes through a pulley and supports a mass.
The student varied the mass $m$ and recorded the values for frequency $f$ for which the first harmonic wass visible on the string. The following graph shows the recorded data.
The uncertainty of the mass is negligible.
1.Draw the line of best fit for the plotted data on the graph.
2.By referring to the plotted data, explain why it cannot be stated that frequency is directly proportional to mass.
3.Use the graph to determine the value for $f$ with its absolute uncertainty for for m=1.0kg. $Hz$
2.The theory suggests that
$f^2=km$
where k is a constant.
The variation of $f^2$ with m is seen on the graph below.
1.Show that the absolute uncertainty of $f^2$ is$\pm0.01Hz^2$ for m=1.0kg. $kHz^2$
2.The absolute uncertainty of $f^2$ is 0.03$kHz^2$ for m=0.25 kg. Construct error bars for $f^2$ when m=0.25kg and m=1.00kg.
3.State and explain whether the theory is supported by data or not.
3.Determine the unit of k, in fundamental SI units. $kg^{-1}$
