Which of the following could be a unit z x/ +* d8fchdoi3 w7n llk,f;hp:b,yrof power?

  By approximately how(ic w yb 12o2ocew(b,q many powers of ten is the height of a human larger than the w1i 2( ob2(qbweco y,cheight of a grain of sand?

  What is the value of3(8w.61h zr ia qiagjd $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a+unm2dcud7 nux 9 vclsow7-,+ fundamental unit in the SI system?

  The volume of the Earth is approximatel0kllisg;w6h ige+*-oy 2(n diy $10^{12} \mathrm{~km}^3$ 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 nearest1bqdp.qdxw bpu :*e/0 order of magnitude, the number of heartbeats of an averagexp1 wd0 pd*q:/.ubeqb adult human in a day.

  Which of the following contains one fundamental 58*o lrc0af4jp 7tl kxunit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the most decimom7xni2 02e/fn+yb hbal ox 2+0h7byn 2fibn /emplaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. Wh4 8n;vdp3s+thavx :kxd vg (r-b m7+orat is the order of magnitude of the ratio between the mass of the car to that of the mov3px rg4h(vv +skrxm:7d+tdn;-a 8bo use?

  A train travels $97.8 \pm 0.7$ meters in $9.325 \pm 0.05$ 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 cu nc)vd.rqhu ;4be with sides of $3.41 \mathrm{~m}$. 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 base ofh8cmj7we j+pv, tx/w: 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 $6.5 \%$ 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 usinggi )2gjeg)mvy*s -d9f part of a metre rule that is graduated in millimei)g2f- )y9msgjve * gdtres, 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 $4.2 \% $ uncertainty in $V$ and a $1.9 \%$ 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 i+2rx95edqk y 5 ;n5uhazgpw1c s measured to be $26.5 \pm 1.2 \; cm$. 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 $1.0 \%$ and the uncertainty in $l$ is $3.2 \%$, 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 roow6 e 5i2;gcxqsz* wbe:m are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differencew;q+:w x j2+dzemtw yds: ps9* ($V$) across a resistor is measured with a digital voltmeter to be $0.23 \; V$ . 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 quantity which a acnt (iiyf+3:c9*g( w6 blmqof the following can be reducagily9 b:w c cm6t3*i((fqna+ed?

  A student measures a distance foa4g5u1 j6v waz1ye *cfur times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What j 1e zg*1fcva46 yaw5uis the best estimate of this measurement?

  A student measures two lengths as follow0auak)4w9h lufnus0. s: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b,n;6z,(leu vd .r1z eg9nprr;(tm nz s0 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 plotted. Ticdkcd ms0.s6o0ic chh7m(4 :heory states that P should s06h4shk dc7i m0mc( . io:cdcvary linearly with Q.

  The length of a pencil is measured using pauvcm 482s vx/rrt of a measuring tape as shown below2x/ r4vscuvm8.

What is the length of the pencil?

  The masses and weights of different objects are independe pk yw1dt.iaa4ue, 8;u3-mi qvntly measured. The graph is a plot of weight versus mass that includes error pi;a8k 3ui4d- auyv.wet1 m ,qbars.

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 thewkgf cwok.q k,c.vvf2 .,txt/ bg.a4( diagram shows the measured values with their unc.owbxckg t/ t( wafg4 .2k.,fqvc ,.kvertainties.

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 ofcp z9*ool ss 2rrfs;3t.-sz*i 2%. The radius of the sphere is 5.8 ± 0.4 cm. What is the percentage uncertainty in tc23sp.*- lsro*t o;zsr szfi 9he mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown k z2-wblimj9qndory j69xm/t9g):*k 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 the acceleration due to gz (0a)hbuuw 0c/inje8ravity produces the following r)a(c8 uzeb/ jun00iwhesults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 uajp i: .qw35pcsing a ruler, such that each measurement has an uncertaint3q.pp c: 5aijwy 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 sz7mj d/ovw p7l. 7h-n$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.5 \%$ 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 nons/zb pac.w w9+r:vcnnu87o4o-negligible zero offset error. Which of the following statemen.8 b4ozrw /vn7npscow9ua+:c ts is correct?

  A student measures a length five times. All of the measurements lie beti b)rf6pwx(y+tj vvw 1)x9i3 pween $18.8 \mathrm{~cm}$ 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 9.541s 3 ozmg/9z8*l mt; igrhqfr ± 0.2 cm long is cut from a longer piece that is 12.6 ± 0.6 cm long. How long is the remaining pi3/zf sr984hmgg* or tq;lmz1iece 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 md )k4bkc2 iifn+*wr9jk sgo)5 ass of 2.0 ± 0.02 kg, causing it to accelerate. What is the percentagk24n)k+ jwbi i*rs5c f)o9k dge uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire i4pu syc 43oj 5h1mchm4s measured to be 10.0 ± 0.6 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) %