Which of the following could be a unit ofy k9k4 9tdbi2:evkzm7vto k;: power?

  By approximately how many powers of ten is the height of a human larezfm o :: ) itksn)l-luxkz +)2)q8ocbger than the height of a grain of )qcm:+l zu2z:kxl8i) o) f bte- )nokssand?

  What is the value of 8fwq(/rsqf5d s,9vk x $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundam- y0uc1obob 87gsmuk09cj(oi ental unit in the SI system?

  The volume of the Earth is approxima7:(zc sk*nlg g:aqqu zfj+ bhzx3 5mzs;d-.o3tely $10^{12} \mathrm{~km}^3$ 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, thjxl f3ks 65ql/j9i zs;p7;gece number of heartbeats of an average adult human in; gjks3z9x/ipe lf57j6c;sq l a day.

  Which of the following contains one fundamental unit and ons4- n6korn +zie derived unit?

  If A=10.0 and B=0.50, which calculation will give the qur5u +1 .vlud 8 e2gbl8fz,maanswer with the most decimal pumb2rl, f+va8qzue 8lg.ud51laces?

  A car has a mass of 1000kg. A mouse has a m jyp5)m2.hdzcpd .j7rm; l m z9um7wb:ass of 10g. What is the order of magnitude of the ratio between the mass of the car to75pmmpm7ylz:umjd92.d)c. wbjh z; r that of the mouse?

  A train travels $41.7 \pm 0.6$ meters in $12.433 \pm 0.06$ 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 s5phbxvmx x7-e13n b j/hape of a cube with sides of $2.19 \mathrm{~m}$. Each side is measured with an uncertainty of $1.2 \%$. 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 squa 1b6e6hcw8 ev*svkvc+v9c3eore base 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 $7.1 \%$ 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 t1:w3e7 o9x c)jezutgy hat is graduated in millimetres, auy7 eecjz 9x1g)o:w3t s 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 $4.9 \% $ uncertainty in $V$ and a $1.7 \%$ 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 tol s7 ls bem:2(p)yxoa2 be $19.9 \pm 1.8 \; cm$. 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 $3.6 \%$, 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 ab26tj s,em7b9gqqj; 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 differen; i1uvthg,/ kn11ndqxce ($V$) across a resistor is measured with a digital voltmeter to be $0.54 \; V$ . 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 of the following can7aep.rm1 j 0 i9ijgmk. bejipk 79r 1 jaimm.0g.e reduced?

  A student measures a distance four times. ay inar.+bss06m:jt *The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of th smj6n ay0:t*bsira +.is measurement?

  A student measures two lengths as followsj 4w u*2xb( ajom0-war: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two even95dw 1 qpb2rl v*:mg3n) utflwts, a and 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 plotted. Theory states th 41vn s5yrw0igat P should vary linearly with Q.syrnv g1 iw450

  The length of a pencil is measured using part of a measuring d8qc zp yacp0a(n-g- *kw5bs8 tape as shown below.a8pdnzg8wc b-0 spc-5* (aykq

What is the length of the pencil?

  The masses and weigh uc cykepubsi12h+n + osl*7.z6z7mx)ts of different objects are independently measured. The graph is a plot of weight versus mass that imuyizsn6h * 1+k72sz)7e + lxoub.c pcncludes 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 meawmw4.s,ps;sa:lah n0 sured, and the diagram shows the measured values with their uncertainties wal:0m4.ws, pns;h as.

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 3w.pf7:byust-mm10vk9 fe kvmeasured with percentage uncertainty of 5%. The radius of the sphere is 2.8 ± 0.1v3v .:emmf70kt-s1 wypkubf 9 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown nnc6 ;r5bd;p8c5qi k tthat:
$$
P=\frac{g h^2}{u^3}
$$
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:6wfl- fokibwk nm2 -qa7b6)e gravity produces the followi)obl6ni-e7 6:fb-kw mk 2q wafng 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 drawy)2doyv,w)bf 7unfk *n using a ruler, such that each measurement has an uncertainty of )uk*df , 7 ybnwvy2f)o$0.5 \mathrm{~cm} .$

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 ib+bb5 h/ew( kpmltaar:so1 w6d70(d $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.4 \%$ 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 error8gvpq 05ju0f7 ;xcj jg. Which of the following statements ;8 fcjjgp07gv 50u qjxis correct?

  A student measures a length five times. All of the measuryx64i hyr5 u6ag ybj-,ements lie between $18.8 \mathrm{~cm}$ 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 ± 0.2 cm long is cut from a longer piece that is 1t:a.wb h)c3e k2.6 ± 0.7 cm long. How long is the remaining piectah .b )3:ckwee 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 $\pm 10 \%$. 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 ± 0.3 N is applied to a mass of 2.0 ± 0.13 kg, causing irom. 0p),tl pqt to accelerate. What is the percentage uncertainty of qm o,t lrpp)0.its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10 wrdb/2k+x8by .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) %