Kognity IB Physics A.0 Measurements & Uncertainty (id: 3fa7c8121)

[单选题]
Experimental data has sho6nnw40pgw ;+b pdjuz2w;g/nd+7sgobh n that:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

A. $2a + 3b$
B. $2a - 3b$
C. $(2a/3b)$
D. $a^2/b^3$


参考答案:  A


本题详细解析:
When measurements are raised to a power, the percentage uncertainty is + lc l(+kw -zks-oq;fj;xfc:ithe power mulqkj -:ilsf (+kwz;f + xlc-c;otiplied by the percentage uncertainty of the measurement. When measurements are multiplied or divided, the percentage uncertainties are added.