光速的测定实验数据处理

s1/cm	s2/cm	Δt/\(\mu s\)	\(\gamma^{‘}\)/kHz	\(\gamma\)/MHz	c/×10⁸m/s	\(\overline{c}\)/×10⁸m/s
4.85	26.5	0.32	457.92	100	2.955	3.000
7	35.4	0.416	457.906		2.982
2.5	51.6	0.696	457.932		3.081
5	31.3	0.384	457.943		2.991
9.8	47	0.536	457.954		3.031
7.5	21.6	0.208	457.965		2.960

\[c = \frac{2(s_{2} - s_{1})}{\mathrm{\Delta}t} \cdot \frac{\gamma}{\gamma^{‘}} = \frac{2(s_{2} - s_{1}) \ast 10^{- 2}}{\mathrm{\Delta}t \ast 10^{- 6}} \cdot \frac{\gamma \ast 10^{3}}{\gamma^{‘}}\]

\[u_{A} = \sqrt{\frac{1}{n(n - 1)}\sum_{i = 1}^{n}{(x_{i} - \overline{x})}^{2}} = \sqrt{\frac{1}{6 \ast 5}\sum_{i = 1}^{6}{(c_{i} - \overline{c})}^{2}} = 1.9\%\]