Which of the following could be a unit of )dx5b mt iuh34b0lg8u power?

  By approximately how m zll9j6s6m*vfany powers of ten is the height of a human larger than the height *lv mls6 jfz96of a grain of sand?

  What is the value ofspdap4 or67th0 6:tg g $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI syxnlhlg me.,1/1w pq+ystem?

  The volume of the Earthb ho8* gt4cw9s)lahc3 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 magni vff0pyf vw ,w(,( 4djuee,q4eo:t(sk tude, the number of heartbeats of an average adult humansue,pefe(v (oqw(jdw ,vyt k4 4ff:,0 in a day.

  Which of the following contains one fundamenta tth0*no2z(djl unit and one derived unit?

  If A=10.0 and B=0.50, which +-v/wo*0 ; nxhk:eoba;tvsf kjsi*q .calculation will give the answer with the most decimae*j kf s- i v+;avo;tw*q/:sx0oh. kbnl places?

  A car has a mass of 1000kg. A mouse has a mass of 10+/gs nk 8znwc52 9mdbig. What is the order of magnitude of the ratio betc sg2n+/nk m bd9w5z8iween the mass of the car to that of the mouse?

  A train travels $76.9 \pm 0.5$ meters in $4.040 \pm 0.04$ 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 shav2ro. y0 kr*qlc9h9zg pe of a cube with sides of $3.89 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. 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 ofl55ywg 9rdd s 2*(osom 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 $9.5 \%$ and $h$ is measured to $4 \%$, 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 that is gradua+9kxh ,jkx oy tl8l-rw9e9m +cted in ,ehl9 xt9yjclrm+8+wkokx- 9millimetres, 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 $6.2 \% $ uncertainty in $V$ and a $1.6 \%$ 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 z*: 1ikjl7g dnmeasured to be $24.5 \pm 1.7 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $2.5 \%$, 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 are estimated as /. cm7(d1dbyv 21j q5lxlm zcd$10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ 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 difference (yc8u bul. 0+8t6r hplgb ow76b$V$) across a resistor is measured with a digital voltmeter to be $0.63 \; V$ . 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 measuremency 2qnb b:ykn ;t7no,/ts of the same quantity which of the following can be rn,bq7y :/ tno ;yknc2beduced?

  A student measures a dit gtzs-oh 5u 1.uh4shj/s73hq1n g2a qstance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estio/7a-4zs2h hus h.15tut gsh1qqng j3mate of this measurement?

  A student measures two lengths as followsec n nl7qpi 9qj4:84yy: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and fvhb:ajih5x 7 5:ui b/b, are 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+ x0 k3a0od bwberym83 plotted. Theory states that P should v0+rweo 3x3yakbb08 dmary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as s4mm3d6(b z4.wrbb up vhown belowvr u dm6b 4bz.bm4w3p(.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The graw1mv ,ie- y.tcph is a plot of weight versus mass that incl m ,ivwt1yce.-udes 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: -9xey- bqth- xlw(e*la278unqtjiaq f e49i , and the diagram shows the measured values with their uncertaintifxtqja- 9q u2blqe a-elixh*w7( -yent9:8i 4 es.

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 uncertainty of 6%. They:h41,, a phhkmo-lo7ngun)cb q)q c0 radius of the sphere is 2.4 ± 0.2 cm. What is the percentage uncertainty in the mass of the spher,-kpu o7:qg 1cnm b4,0 nhhc)ho)qyale?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown t,xnun5 l)yks5a) l5lo hat:
$$
P=\frac{g h^2}{u^3}
$$
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 the acceleration due to czo g9t0k1k2wgravity produces the following res ozgkctkw 9210ults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measurement has an u6j f 0y r;dvr me cr)fjm+jo:o*9y;zi.ncertaindo6rf*v morye:0c+jz r ;;9.) mfj jiyty of $0.5 \mathrm{~cm} .$

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 af(+pko qq 4c ar(.pan2hsq 5j8i17qm$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ 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 gzl(aouom .j29q w *n7zero offset error. Which of the following statements q9lj.*zw 2ga oo(u7nmis correct?

  A student measures a length five times. All of the measurements lie bk/ 8grn; lf2-i hehheo2db/q9etween $18.8 \mathrm{~cm}$ 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 ± 0.3 cm ly:g**l k:nm; 9fi ykit,h7cg yong is cut from a longer piece that is 12.6 ± 0.4 hycli9n* gkkyt 7g:*; ,ymif:cm long. How long is 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 $\pm 2 \%$. 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 ± 1.4 N is applied to a mass of 2.0 ± 0.14 kgj,vku )y-xsd:u/2 yj-.x t:v 1i2q hsa-txfl q, causing it to accelerate. What is 2auuf-yvh sx qji::skv.)jqt- -1, x /2dyxt lthe percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measuredeimta42h q. m1 to be 10.0 ± 1.9 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) %