Which of the following could 9k 0ne/o.qix s2lq/ sjbe a unit of power?

  By approximately how many powers of ten is the height of a humqg, d35oole2 gan larger than the height of a grain of sand?o5oleq3, 2ggd

  What is the value of,i:oyhpf1p:ybmp7f5v u : w+o $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental *,8y0az kq0:. 3h:hle qkz emlld7jnyunit in the SI system?

  The volume of the Eauerx b8gm6* tsfc(+cf4ryn52 rth is approximately $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

  Estimate, to the nearest order of magnitude, the number of heartbeats of z8q4 fjoh(hrn: )xg j8an average adult human in h j r8)(xf8zno:hg4jq a day.

  Which of the following conta zie-00,mz rrjins one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which * p jh0lffx3ivds*-)b calculation will give the answer with the most decimal phd 3*fx0fjpsv)ilb- *laces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. wdp l(wpj005 nWhat is the order of magn5 (0wl n0pjwpditude of the ratio between the mass of the car to that of the mouse?

  A train travels $73.9 \pm 0.4$ meters in $10.145 \pm 0.05$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

  A water tank is the shape of a cube with uoe6.y kbcc);sides of $4.17 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

  A pyramid has a square base of si,efg0(5os m umde $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $5.1 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured using part of a metre rule t4y8 fkwbn57w c:on0qrhat is graduated in millimwbon0 r5cy:nwk48 f7qetres, as shown below.

What is the length of the pencil?

  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $3.4 \% $ uncertainty in $V$ and a $2.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measured tom/-0ezgq z hv4 be $29.8 \pm 1.9 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Remember to keep three significant figures and exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.2 \%$ and the uncertainty in $l$ is $6.3 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

  The lengths of the sides of a room fx *n;gz j;yasbd-p.s.y6k1 u are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Give your answer in $\mathrm{m}^3$ to two significant figures, without a unit.)

  The potential differenceug 449uj , diz--qwyul ($V$) across a resistor is measured with a digital voltmeter to be $0.59 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

  By averaging three measurements of the same quantityc-bo( yotmex y. mj6 e3)n-gw/ which of the following can bt- -)g6c(noym eyj3e/.o wxbme reduced?

  A student measures a distance four times. The readings are 37.8 .u :.h*yrnqleez 5uwp7 v o cf5+rrs)4cm, 37.9 cm, 38.1 cm7 p.uoly*q4.sfwvr:e 5nz+)crh r eu5, 38.2 cm. What is the best estimate of this measurement?

  A student measures two lengths as foll /nfjwq t7-l*qu5pj/pv8m 9 (-bzgxtlows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, a-0qr h.:qf3qqg:ldmw re measured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

  The variation of quantity P as quantity Q varies is plotted. Theory sti9 +mlz+9fbwqu46 wl lates that P should var69 qi+mlfw9+4zlb u lwy linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown beloww+:hvjg 7v p*l cj6lr(xx42u b 4wxgxjblhv:7*pl6c(u+ 2vj r.

What is the length of the pencil?

  The masses and weights of different ob;s:vy25a(u.yr r lq0lj 6tyiojects are independently measured. The graph is a plot of weight versus 26ilu o raq rt5y:v0sl ;(y.yjmass that includes error bars.

What do these experimental results suggest?

  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$

  The lengths of the sides of a rectangular plate are measured, and the diagrar- ls l.d 9ggdeyc3:5qw daz+7m shows the meaqd.57z cd:e9sy3l rl+gdagw -sured values with their uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid sphere is measured with percentage u,wglimo;,4 c c:kb y lsp3. :ocpvxcn-o-p,s0ncertainty of 2%. The radius of the sphere is 3.0 ± 0.3 cm. What is the percentage uncertainty in the mambc o,w-ivpn;, ll-:kyps xsc:0c3,ocg.o 4pss of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s bejil.79 kl.zds+v81r xq 7qqhown 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 $P ?$

  An experiment used to meavg p+pkmb)s(m teo) kbn37*y/y ;-ed psure the acceleration due to gravity produces the following resulbe;nvp o(3m-p+e7ydy)sk/*m) pk bt gts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  A rectangle was drawn using a rul js9wpw/vl/+wer, such that each measurement has an uncertainty osp9//w+w jvwl f $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Do not write units with the answer. Give your answer to 2 significant figures.)

  For an object of mas 7f-;ue btwr/77qn g-y:z 70y5bbhpoup9 wtnds $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.3 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  An ammeter has a non-negligible zero offset6q q8tuw;fynb5(. czk error. Which of the following statements isqy; q(cb5 nt.6kwfuz 8 correct?

  A student measures a length five times. All of the measurements lie betwc i1c2ski p-/ f.,tuloeen $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

  A piece of string 9.5 ± 0.2mlc7vc:-tjt45mb4 b6zu rur ofz)6 5q cm long is cut from a longer piece that is 12.6 ± 0.3 cm long. How long isqccu -j u67rbt o)b55 mv4t lf6z:mr4z the remaining piece of string?

  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 7 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

  A force of 10.0 ± 0.5 N is applied to a mass of 2.0 ± 0.20 kg, causing itqw hn.vl5)tr3cnd 5g5,jif (r to accelerate. What is the percentage uncertaivd5cwl ,hr j.tn5rqi5()gn 3fnty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle ofie2mk iywy+g8: al-o;y ; /buyh/il w6 wire is measured to be 10.0 ± 1.1 cm.
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %