Which of the following could be a ucyq;b.4 xau-o* wc0xpnit of power?

  By approximately how many powers of ten is the height gts2 tv-ob0z zt2 gw;1of a human larger than the heigz v2wt1ztb o-02t s;gght of a grain of sand?

  What is the value ofyrjk8-tfbt;xso 8manbfj u7;05 9lb7 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syskj;*jm*tvaqx q0s x. 1z rdg,o46lgh ;tem?

  The volume of the Earth ( ax0 iwyv2/oiis 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 n s3*80nrdu4 d yvld;vqumber of heartbeats of an average adult h3lvn 8*4v;sqd0 rdyduuman in a day.

  Which of the following contains one fundamental unit and one derived e::ij:9 9tybesc dfr 2unit?

  If A=10.0 and B=0.50, which calculation will give the andrjp3*l5 w aw-wrcr/*swer with the most decimal placewlp5 *cdr3 j*a-wwr/rs?

  A car has a mass of 1000kg. A mousems10 hadag 7cg5y 8zpv3o/qq , has a mass of 10g. What is the order of magnitude of the ratio between th/5sa oy 8qzm 01cgqd37g,vpahe mass of the car to that of the mouse?

  A train travels $57.1 \pm 0.3$ meters in $15.630 \pm 0.03$ 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 o,; nx-u qvey9x wp5)daf a cube with sides of $3.62 \mathrm{~m}$. Each side is measured with an uncertainty of $1.1 \%$. 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 1p2xq.8 bjwb obase of side $x$ 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 $7.3 \%$ and $h$ is measured to $3 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usingzl . 3:6mtqdnm part of a metre rule that is graduated in millimetres, as shown belqmz 3t6dm.nl :ow.

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 $3.9 \% $ uncertainty in $V$ and a $2.1 \%$ 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 to -hk.zg n3 e:unvpd:v5be $27.7 \pm 1.4 \; cm$. 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 $1.1 \%$ and the uncertainty in $l$ is $4.7 \%$, 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 b(.pl06 bdlbg of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 5 \%$. 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 differenc5 -y4 +glnry;5cbk+ p5 zthetwe ($V$) across a resistor is measured with a digital voltmeter to be $0.70 \; V$ . 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 t( .fsj lqqb, ;dt3xt0yiwm7wu) v0(xihe same quantity which of the following can be reduced?l ( ts; ,0f7(0mbytxw3wj i uvi)qxdq.

  A student measures a distance four times. Tv -;u3j./t2d**aimgf c t)zaama:nre he readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 c:u*aem d)tf2g- ja3at c;vaz*/.nrimm. What is the best estimate of this measurement?

  A student measures two lengqm7r+sns.kn3u/n rg 3 ths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are icmmsp6enaoz+ )-)i go6 k8m f;6omc7measured 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 stkwxvhp:1q.y)8 a y65 aylel 8wates that P showavw8 yq18 kl phe:yl6xay).5uld vary linearly with Q.

  The length of a pencil is measured using part of a mjz4 ,.k-o4l gc2bgmff easuring tape as shown belowoczgl b4gf4. 2,jmk-f .

What is the length of the pencil?

  The masses and weights of different objects are independently meagsnq(frf1m/+ sured. The graph is a plot of weight versus mass that in(qr 1f+ nf/gmscludes 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 arxlm7+* e:* ue,gllwp ie measured, and the diagram show* x gpu:e,*l+liemwl 7s the measured 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 oja6dcl/-ag jjr-6 w: percentage uncertainty of 5%. The radius of the sphere is 3.8 ± 0.3 cm. What is the percentage uncertainty in th6g jrj: ja -dc6/aolw-e mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has sh4goyt1q*9k mll n*1gg own 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 measure 0,3ok-us5(0gaoeos2wuo7pqapyir :h58pb a the acceleration due to gravity produces the following 825ya-p(u sku7ohop ,:owgiabea5ps3r 0 0 qo results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 ruler, such that each menm, i a3umlf8,asurement has an uncertainty fn,ai3u 8mm ,lof $0.5 \mathrm{~cm} .$

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 mass.nlv4)2kjf vy)hy+ 6ejqom /m $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.2 \%$ 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 offset e r 6 n2y d1+j1zo pxijkhg8;9bb4uwo.xrror. Which of the following statements jx; x9n o8djr2b.h1w4ig 6 +y1bupzokis correct?

  A student measures a length five times. All of the measurements lie b2gt;owt7 zzvnl72buncg7i 12 etween $18.8 \mathrm{~cm}$ 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 ± 0.1 cm longc6qt lo)n4qkhg(p+* y is cut from a longer piece that is 12.6 ± 0.1 cm long. How long is the remai+oqhn (y pqgkt *4lc)6ning 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 $\pm 5 \%$ 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 ± 0.05 kg, txbalvm vf)t:6 k/2u 5causing it to accelerate. Wxlu/ k5 m:b)6vta tv2fhat is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire q2k(lh .ps tz wti7.n+is measured to be 10.0 ± 1.7 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) %